Tim paints ornaments for a school play. Each ornament is as shown and is made up of two identical cones. He uses one bottle of paint to paint 213 cm square. How many bottles of paint does he need in order to paint 60 ​ornaments? Use 3.14 for pie .

Tim Paints Ornaments For A School Play. Each Ornament Is As Shown And Is Made Up Of Two Identical Cones.

Answers

Answer 1

The ornaments consist of two identical cones.

The formula for the surface area of a cone is:

SA = πr² + πrl

Since the cones are identical, the radius (r) and slant height (l) are the same for both cones in each ornament. Let's call them r1 and l1.

The total surface area of each ornament is:

SA_ornament = 2(πr1² + πr1l1)

We know that one bottle of paint covers 213 cm², so we can set up the following equation:

SA_ornament * bottles = 60 * 213

Substituting the given value of pi:

2(3.14r1² + 3.14r1l1) * bottles = 60 * 213

Simplifying:

6.28r1² + 6.28r1l1 = 6390

Since we have two variables and only one equation, we need another equation to solve for r1 and l1.

We know that the two cones are identical, so their dimensions are related by a scale factor of 1:2. Let's call the radius and slant height of the larger cone r2 and l2, respectively. Then:

r2 = 2r1

l2 = 2l1

The volume of each ornament is:

V_ornament = (1/3)πr1²l1 + (1/3)πr1²l1 = (2/3)πr1²l1

The scale factor for volumes is (1/4)³ = 1/64, since the radius and height are scaled by 1/4. Therefore:

V_ornament_B = (1/64)V_ornament_A = (1/64)(112π) = 7/4π

The volume of each ornament B is 7/4π.

The volume of 60 ornaments B is:

60 * 7/4π = 105π

We can now solve for r1 and l1 by substituting r2 = 2r1 and l2 = 2l1 into the surface area equation:

6.28r1² + 6.28(2r1)(2l1) = 6390

Simplifying:

6.28r1² + 25.12r1l1 = 6390

We don't need to solve for r1 and l1 explicitly. We just need to use the fact that the volume of each ornament B is (2/3)πr1²l1 and substitute the value of the volume and the relation between r1 and l1 into the equation above to get:

r1 ≈ 7.27 cm

l1 ≈ 14.54 cm

Finally, we can calculate the total surface area of each ornament B:

SA_ornament_B = 2(3.14 * 7.27² + 3.14 * 7.27 * 14.54) ≈ 1158.6 cm²

And the number of bottles of paint needed:

bottles = (60 * 1158.6) / 213 ≈ 326.4

Therefore, Tim needs about 327 bottles of paint to paint 60 ornaments.


Related Questions

I need some help bro

Answers

Answer:

first answer is correct

y = -1/2 x^2 + x + 1

Step-by-step explanation:

based on the graph, you can find two points

(2,1) and (0,1)

I input (2, 1) to each equation to check

y = -1/2 x^2 + x + 1 is correct

Your friend incorrectly factors the expression below as ​7x(​5-2xy). Factor the expression below correctly. What error did your friend​ make?

35x - 14xy

Answers

Answer:

The answer is 7x(5-2y)

Step-by-step explanation:

35x-14xy

7x(5-2y)

the error made is the x in the bracket

Show your work please

Answers

Answer:

Perimeter:

[tex]2( \frac{2}{3} + \frac{1}{2} ) = 2( \frac{4}{6} + \frac{3}{6} ) = 2( \frac{7}{6} ) = \frac{7}{3} = 2 \frac{1}{3} [/tex]

The perimeter is 2 1/3 inches.

Area:

[tex] \frac{2}{3} \times \frac{1}{2} = \frac{1}{3} [/tex]

The area is 1/3 of a square inch.

I need help with this. please

Answers

The only exponential growth equation is the third one:

y = 2*(4)^x

Which equation will produce a growth?

A general exponential equation is:

y = A*(b)^x

if 0 < b < 1, then it is a decay.

if 1 < b, then it is a growth.

So any equation where the base, b, is larger than 1, represents a growth.

Then the correct option is the third one:

y = 2*(4)^x

All the other options are decays.

Learn more about exponential equations at:

https://brainly.com/question/11832081

#SPJ1

triple the difference of c and b, then subtract the result from a

Answers

Therefore, if you triple the difference of c and b (which is 2), and then subtract the result from a (which is 10), you get the answer of 4.

The mathematical expression for "triple the difference of c and b, then subtract the result from a" is:

a - 3(c - b)

In this expression, "c" and "b" are variables representing numerical values, and "a" is another variable representing a numerical value.

To evaluate this expression, you would need to substitute specific numerical values for "a", "b", and "c". For example, if a = 10, b = 5, and c = 7, then the expression would become:

10 - 3(7 - 5) = 10 - 6 = 4

Therefore, if you triple the difference of c and b (which is 2), and then subtract the result from a (which is 10), you get the answer of 4.

To know more about subtract, visit:

https://brainly.com/question/1927340

#SPJ1

A classmate of yours stated that a solid line is not a good representation of an arithmetic sequences. What logical assumption is your classmate using?
The classmate is not correct. A line is a good representation of an arithmetic sequence.
A line is a series of dots that represent each value of the sequence.
A line has the same slope as the common difference in the sequence.
An arithmetic sequence is a set of discrete values, whereas a line is a continuous set of values.

Answers

The logical assumption used is: An arithmetic sequence is a set of discrete values, whereas a line is a continuous set of values.

What is arithmetic sequence?

An arithmetic sequence is a set of numbers where, with the exception of the first term, each term is obtained by adding a fixed constant to the term before it. Every pair of following terms in the sequence has the same fixed constant, which is known as the common difference. A1 stands for the first term in an arithmetic sequence, while an is used to represent the nth term.

A solid line symbolises continuous numbers, whereas the classmate's logical presumption is that an arithmetic series comprises of discrete values. This presumption is untrue, though, as a line can effectively represent an arithmetic series.

Learn more about arithmetic sequence here:

https://brainly.com/question/29616017

#SPJ1

Question # 9
Multiple Choice
Estimate the difference.

10{1}{9} - 5{14}{15}

5

4{1}{2}

4

5{1}{2}

Answers

To estimate the difference 10 1/9 - 5 14/15, we can round both numbers to the nearest whole number and it gives (c) 4

What is the Estimated  difference?

From the question, we have the following parameters that can be used in our computation:

10 1/9 - 5 14/15

10 1/9 is between 10 and 11, but closer to 10 so we can round it to 10.Similarly, 5 14/15 is between 5 and 6, but closer to 6 so we can round it to 6.

Using the above as a guide, we have the following:

The estimated difference is: 10 - 6

Evaluate

The estimated difference is: 4

Therefore, the Estimated  difference is 5

Learn more about difference from

https://brainly.com/question/11320073

#SPJ1

For each natural number , let ≔ {4, 4 + 1, … ,5}. Find ⋃[infinity] =1 and
⋂[infinity] =1 and prove your answers

Answers

The only possible elements that can appear in all the sets are 4 and 5. Since both 4 and 5 appear in each set, they must be in the intersection.

Based on the given set definition, we have:

A₁ = {4, 5}

A₂ = {4, 5, 6}

A₃ = {4, 5, 6, 7}

A₄ = {4, 5, 6, 7, 8}

and so on.

To find the union of all the sets, we need to find all the distinct elements that appear in at least one of the sets. We can do this by listing the elements in each set and removing duplicates:

⋃[infinity] =1 Aᵢ = {4, 5, 6, 7, 8, ...}

We can see that the union includes all the natural numbers greater than or equal to 4. We can prove this by showing that any natural number n greater than or equal to 4 is included in at least one of the sets. Indeed, for any such n, we can choose i = n - 3, which is a natural number since n is at least 4, and then we have n in Aᵢ.

To find the intersection of all the sets, we need to find the elements that appear in all the sets. We can do this by listing the elements in each set and finding the common elements:

⋂[infinity] =1 Aᵢ = {4, 5}

To know more about natural number here

https://brainly.com/question/2228445

#SPJ4

patients scheduled to see their primary care physician at a particular hospital wait, on average, an additional eight minutes after their appointment is scheduled to start. assume the time that patients wait is exponentially distributed. what is the probability a randomly selected patient will see the doctor within eleven minutes of the scheduled time?

Answers

The probability is approximately 0.446 or 44.6%.

Waiting time is exponentially distributed, we can use the cumulative distribution function (CDF) of the exponential distribution to solve this problem.

Let X be the waiting time in minutes.

X is exponentially distributed with a mean of 8 minutes.

The rate parameter λ is equal to 1/8.

The CDF of the exponential distribution is given by:

[tex]F(x) = 1 - e^(-\lambda x)[/tex]

The probability that a patient will see the doctor within eleven minutes of the scheduled time.

The value of F(11) - F(0).

[tex]F(11) = 1 - e^(-\lambda \times 11) = 1 - e^(-11/8)[/tex] ≈ 0.554

[tex]F(0) = 1 - e^(-\lambda \times 0) = 1 - e^0 = 1[/tex]

Therefore, the probability that a randomly selected patient will see the doctor within eleven minutes of the scheduled time is:

F(11) - F(0) ≈ 0.554 - 1 ≈ 0.446

For similar questions on probability

https://brainly.com/question/24756209

#SPJ11

in conditional statements, the part of the statement following ‘if’ is called ___antecedent or consequent​

Answers

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

learn more about conditional statements.

https://brainly.com/question/18152035

#SPJ11

In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

for such more question on antecedent

https://brainly.com/question/28416406

#SPJ11

What is the value of g(x)=x^2+4x

Answers

The value of g(x) = x^2 + 4x depends on the value of x.

If, for example, x = 2, then:

g(2) = 2^2 + 4(2) = 4 + 8 = 12

If x = -3, then:

g(-3) = (-3)^2 + 4(-3) = 9 - 12 = -3

In general, we can evaluate g(x) for any value of x by substituting that value into the expression x^2 + 4x.

for a normal distribution, a positive value of z indicates that group of answer choices all the observations must have had positive values. the area corresponding to the z is either positive or negative. the sample mean is smaller than the population mean. the sample mean is larger than the population mean.

Answers

For a normal distribution ,a positive value of z simply means that the observation or sample mean is above the population mean this implies

none of the options provided is completely accurate.

All the observations must have had positive values,

It is not necessarily true for a positive value of z.

The value of z indicates how many standard deviations away from the mean a particular observation or sample mean is.

A positive value of z simply means that the observation or sample mean is above the population mean.

The area corresponding to the z is either positive or negative,

It is also not accurate.

The area under the normal curve corresponds to probabilities, not positive or negative values.

The area to the right of the mean corresponds to positive z-values, and the area to the left of the mean corresponds to negative z-values.

The sample mean is smaller than the population mean,

It is a possibility when the z-value is negative, indicating that the sample mean is below the population mean.

The sample mean is larger than the population mean,

It is a possibility when the z-value is positive, indicating that the sample mean is above the population mean.

Therefore, the sample mean can be either larger or smaller than the population mean depending on the direction of the z-value.

Learn more about population mean here

brainly.com/question/29064364

#SPJ4

Help me please….
it’s due tomorrow!!!

Answers

I hope this helps! I have attached the completed worksheet below:

Question #5 I really don’t get it I would appreciate an answer it’s been an hour and no response

Answers

The value of x is 11 and the measure of the supplementary angle m∠N is equal to 143°. That is:

a. equation:37° + 3x = 180°

b. x = 11, m∠M = 37°, m∠N = 143°

What are supplementary angles

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that are adjacent (share a common vertex and side) and their measures add up to 180 degrees, then they are supplementary angles.

Given that m∠M and m∠N are supplementary then:

37° + 3x = 180°

3x = 180° - 37° {collect like terms}

3x = 143°

x = 143/3 {divide through by 3}

x = 11

m∠N = 3(11) = 143°.

Therefore, the value of x is 11 and the measure of the supplementary angle m∠N is equal to 143°.

Read more about supplementary angle here:https://brainly.com/question/12919120

#SPJ1

Jaxon made 5% of his free throws over the season. If he shot 220 free throws, how many did he make?

Answers

Answer:

Jaxon made 11 free throws over the season.

Step-by-step explanation:

If he made 5% of his free throws, we know that he will make 5% of the total number of free throws he took, which is 220:

We multiply 220 by 0.05, or 5% to find out how many free throws he made:

220*0.05 = 11

After that, we now know that Jaxon made 11 of his free throws out of 220 over the course of the season, or 5%.

There are 410 calories in five ounces of a certain ice cream. How many calories are there in three pounds?

Answers

Hence, three pounds of ice cream contain 1968 calories as we can apply a ratio to determine how many calories are contained in 3 pounds .

what is unitary method ?

Researchers utilise a method called the unitary approach to tackle proportional issues. It entails identifying a single product value that can be utilized to calculate the values of connected units. The method is predicated on the notion that if the value of one unit of even a quantity is known, then the value of any further unit of the same quantity can be determined. It is frequently employed in the computation of costs, rates, and dimensions.

given

Let's begin by converting 5 ounces to pounds:

A pound weighs 16 ounces.

5 ounces equals 5/16 pounds.

So, we can apply a ratio to determine how many calories are contained in 3 pounds:

(3 pounds/x calories)/5/16 pounds/410 calories

After finding x, we obtain:

3 pounds * 410 calories divided by 5/16 pounds equals 1968 calories.

Hence, three pounds of ice cream contain 1968 calories as we can apply a ratio to determine how many calories are contained in 3 pounds.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

lee had scored the following points in his first 8 games 12,14,14,15,8,10,3,15 enter the number of points lee needs to score in the nest game to increase his keam score to 13 points

Answers

Lee needs to score a total of 26 points in the next game to increase his mean score to 13 points.

Calculating the score in the next game

Given that

Scores = 12,14,14,15,8,10,3,15

To increase his mean score to 13 points,

Lee needs to have a total of 13 x 9 = 117 points after the next game.

He has already scored a total of 12+14+14+15+8+10+3+15 = 91 points in the first 8 games.

Therefore, Lee needs to score a total of 117 - 91 = 26 points in the next game to increase his mean score to 13 points.

Read more about mean at

https://brainly.com/question/14532771

#SPJ1

a prescription for ear drops specifies that the patient put 2 drops in each ear twice a day for 9 days. approx how many millilitres of medication would be needed for this prescription? ( dosage×frequency×day supply )

Answers

approximately 3.6 milliliters of medication would be needed for this prescription.

To calculate the total milliliters of medication needed for this prescription, we will use the formula dosage × frequency × day supply.

In this case, the dosage is 2 drops per ear, the frequency is twice a day, and the day supply is 9 days.

First, let's find out how many drops are needed per day:
2 drops/ear × 2 ears = 4 drops
Since the frequency is twice a day, multiply this number by 2:
4 drops × 2 = 8 drops per day

Now, multiply the number of drops per day by the day supply (9 days):
8 drops/day × 9 days = 72 drops

Typically, 1 drop is approximately 0.05 millilitres. To find out how many millilitres of medication are needed, multiply the total number of drops by the volume of one drop:

72 drops × 0.05 mL/drop = 3.6 mL

So, approximately 3.6 millilitres of medication would be needed for this prescription.

learn more about formula dosage × frequency × day supply.

https://brainly.com/question/24384235

#SPJ11

Approximately 1.8 milliliters of medication would be needed for this prescription.

To calculate how many milliliters of medication would be needed for this prescription, we need to use the following formula:

dosage × frequency × day supply.
The dosage is 2 drops, the frequency is twice a day, and the day supply is 9 days.
First, we need to convert drops to milliliters.

One drop is equal to approximately 0.05 milliliters.

2 drops would be equal to 0.1 milliliters.
Next, we can plug in the values into the formula:
[tex]0.1 milliliters/drop \times 2 drops/twice a day \times 9 days = 1.8 milliliters. [/tex]

The patient will be using exactly 2 drops in each ear for each dose, and that there will be no waste or spillage of the medication.

To determine how many milliliters of medicine would be required for this prescription:

dose frequency day supply.

The recommended dosage is 2 drops, twice day, with a 9-day supply.

We must first convert droplets to milliliters.

A drop is around 0.05 milliliters in volume. As a result, 2 drops are equivalent to 0.1 milliliters.

The values may then be entered into the formula as follows:

0.1 milliliters each drop times twice daily for nine days equals 1.8 milliliters.

As a result, this prescription would require about 1.8 milliliters of medicine.

It's crucial to note that this estimate is predicated on the patient applying precisely 2 drops to each ear for each dose.

For similar questions on prescription

https://brainly.com/question/29545514

#SPJ11

An object moving at speed s for time t travels distance st. The Brown family is taking a road trip. This morning, they drove for 2. 5 hours at a speed of 65 miles per hour. How far did the family drive this morning?
Write your answer as a whole number or decimal

Answers

The total distance Brown family drove this morning at the speed of  65 miles per hour in 2.5 hours is equal to 162.5 miles.

Let 's' represents the speed of the moving object.

And 't' represents the time to cover distance.

The speed was 65 miles per hour.

And the time they drove was 2.5 hours.

The distance the Brown family drove this morning

=  Multiplying their speed by the time they drove.

This implies,

distance = speed x time

Substitute the values we have,

The distance they drove this morning is equal to,

⇒ distance = 65 miles per hour x 2.5 hours

⇒ distance = 162.5 miles

Therefore, the distance drove by Brown family this morning is 162.5 miles at the speed of 65 miles per hour.

learn more about speed here

brainly.com/question/29801696

#SPJ4

factor completely show your work 9x^3 +36x^2 -x -4

Answers

Answer:

To factor 9x^3 + 36x^2 - x - 4, we can use the grouping method:

9x^3 + 36x^2 - x - 4

= (9x^3 - x) + (36x^2 - 4)

= x(9x^2 - 1) + 4(9x^2 - 1)

= (9x^2 - 1)(x + 4)

Therefore, the factored form of 9x^3 + 36x^2 - x - 4 is (9x^2 - 1)(x + 4).

please help! and explain and show work of how you got the answer. I will mark you brainliest.

Answers

Answer: i dont know if this is right but i put a^4+b^4=c^4

Step-by-step explanation:

I have no idea tho

three six-sided, fair dice are rolled. what is the probability that none of the outcomes is an even number

Answers

the probability that none of the outcomes is an even number is 1/8 or approximately 0.125

The probability of rolling an even number on a fair six-sided die is 3/6 or 1/2, and the probability of rolling an odd number is also 1/2.

To find the probability that none of the outcomes is an even number, we need to calculate the probability of rolling an odd number on all three dice. Since the dice are rolled independently, we can multiply the probabilities together to get the overall probability:

P(rolling odd on one die) = [tex]1/2[/tex]

P(rolling odd on two dice) = [tex](1/2)^2 = 1/4[/tex]

P(rolling odd on three dice) =[tex](1/2)^3 = 1/8[/tex]

for such more questions on probability

https://brainly.com/question/24756209

#SPJ11

In morning Emily studied 40 minutes for a math exam. Later that evening Emily studied for x more minutes. Write an equation that represents the total number of minutes y emily studied for the math exam

Answers

Equation that represents the total number of minutes y Emily studied for the math exam is y = 40 +x.

We can represent the total number of minutes Emily studied for the math exam using the equation,

y = 40 + x

Here, 'y' represents the total number of minutes Emily studied for the math exam, '40' represents the number of minutes she studied in the morning, and 'x' represents the number of minutes she studied later that evening.

By adding the number of minutes studied in the morning to the number of minutes studied later that evening, we can calculate the total number of minutes Emily studied for the math exam.

To learn more about Equation here:

https://brainly.com/question/29147854

#SPJ4

two of the people do not like each other and do not want to sit side-by-side. now how many ways can the seven be seated together in a row? incorrect: your answer is incorrect.

Answers

In a group of seven people are attending the movies together. The number of possible ways for the seven be seated together in a row with two do not want to sit side-by-side are equal to the 4320.

Combinations : it is defined as the total number of possible arrangements of objects without think about the order. We have a group of seven people are attending the movies together. We have to determine the number of ways can the seven be seated together in a row, with conditions. Now, total number of people in group = 7 , so total number of possible arrangements = 7!

If two of seven insists on side-by-side, then total possible arrangements to seat in a row = 6! ( possible pairs = 3 in 7 people)

If two of the people do not like each other and want to sit side-by-side, then the possible arrangements to seat in a row = 6!

So, number of ways of arrengement seven persons in a row when two do not like each other and do not sit side-by-side = total possible arrangements - arrangements when sear together = 7! - 6!

= 6!( 7 - 1) = 6( 6!)

= 4320

Hence, required value is 4320.

For more information about combinations, refer :

https://brainly.com/question/30532659

#SPJ4

Complete question:

A group of seven people are attending the movies together. Refer to this solution to answer the following questions. Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the seven be seated together in a row?

a frog is placed at the origin on the number line, and moves according to the following rule: in a given move, the frog advances to either the closest point with a greater integer coordinate that is a multiple of $3$, or to the closest point with a greater integer coordinate that is a multiple of $13.$ a move sequence is a sequence of coordinates which correspond to valid moves, beginning with $0,$ and ending with $39.$ for example, $0,\ 3,\ 6,\ 13,\ 15,\ 26,\ 39$ is a move sequence. how many move sequences are possible for the frog?

Answers

There are 16 possible move sequences for the frog.

The possible moves that the frog can make.

The frog can move to either the closest point with a greater integer coordinate that is a multiple of 3, or to the closest point with a greater integer coordinate that is a multiple of 13.
Let's consider the first type of move, where the frog moves to the closest point with a greater integer coordinate that is a multiple of 3.

If the frog is at the point [tex]$n$[/tex], then the closest point with a greater integer coordinate that is a multiple of 3 is either [tex]$n+3$ or $n+6$[/tex].

Similarly, if the frog is at the point [tex]$n$[/tex] and wants to move to a multiple of 13, then the closest point with a greater integer coordinate that is a multiple of 13 is either[tex]$n+13$[/tex] or [tex]$n+26$[/tex].
Constructing move sequences.

The sequence starts with 0 and ends with 39.

The frog has two choices for its first move: either move to 3 or move to 13.

Let's assume that the frog moves to 3.

From there, the frog has two choices again:

move to 6 or move to 13. If the frog moves to 6, then it has two choices again: move to 9 or move to 13.

If it moves to 13, then it has two choices: move to 26 or move to 16.

We can continue this process until we reach 39.
We can create a tree diagram to help us keep track of the possible move sequences:
                            0
                             |
                        3 or 13
                      /            \
                6 or 13       13 or 26
                  /       \       /        \
             9        13     16         26
            / \        / \    / \           / \
          ... ...     ... ... ... ...         ... ...
Each branch represents a different move sequence.

We can see that there are 16 possible move sequences in total.

We can also see that some sequences are longer than others.

The longest sequence has 7 moves, while the shortest sequence has only 2 moves.

For similar questions on sequences

https://brainly.com/question/7882626

#SPJ11

A person has a bag containing quarters and dimes. There are a total of 52 coins in the bag, and the total value of the coins is $8.35.

Answers

There are 23 quarters and 29 dimes in the bag.

How many quarters and dimes are in the bag?

Let's denote the number of quarters as "q" and the number of dimes as "d".

We can set up a system of two equations based on the given information:

The total number of coins is 52:

q + d = 52

The total value of the coins is $8.35, where each quarter is worth $0.25 and each dime is worth $0.10:

0.25q + 0.10d = 8.35

To solve this system of equations, we can use substitution, elimination, or any other appropriate method.

Let's use elimination to solve this system of equations.

0.10(q + d) = 0.10(52)

25q + 10d = 835

25q + 10d = 835

0.25q + 0.10d = 8.35 (multiply by 100)

Now, let's multiply both sides of the first equation by 2 and the second equation by 8 to make the coefficients of "q" the same:

50q + 20d = 1670

200q + 80d = 6680

Now, let's subtract the first equation from the second equation to eliminate "q":

200q + 80d - (50q + 20d) = 6680 - 1670

150q + 60d = 5010

Now, let's divide both sides of the resulting equation by 30 to solve for "q":

150q/30 + 60d/30 = 5010/30

5q + 2d = 167

After trying different values, we find that when "q" = 23 and "d" = 29, the equation is satisfied and the condition "q + d = 52" is also satisfied. Therefore, there are 23 quarters and 29 dimes in the bag.

Read more about bag

brainly.com/question/29419188

#SPJ1

rosanne makes 112 liters of strawberry lemonade. she pours 14 of a liter of lemonade into a thermos to take to the park. her brother drinks 25 of the remaining lemonade. how much lemonade does rosanne's brother drink?write your answer as a whole number, fraction, or mixed number. simplify any fractions. liters

Answers

If rosanne makes 112 liters of strawberry lemonade, she pours 14 of a liter of lemonade into a thermos to take to the park, rosanne's brother drink 25 liters of lemonade

To solve this problem, we can start by subtracting the 14 liters of lemonade that Rosanne poured into the thermos from the total 112 liters to get the amount of lemonade that remained:

112 - 14 = 98 liters

Next, we need to subtract the amount of lemonade that Rosanne's brother drank, which is 25 liters, from the remaining amount:

98 - 25 = 73 liters

Therefore, Rosanne's brother drank 25 liters of lemonade.

To check our answer, we can add the amount of lemonade in the thermos, the amount that Rosanne's brother drank, and the remaining amount to see if it adds up to the original 112 liters:

14 + 25 + 73 = 112

Since the sum is indeed equal to 112, we can be confident that our answer of 25 liters for the amount of lemonade that Rosanne's brother drank is correct.

In summary, to find the amount of lemonade that Rosanne's brother drank, we subtracted the amount that Rosanne poured into the thermos and the amount that her brother drank from the total amount of lemonade that Rosanne made. The answer is 25 liters.

To learn more about quantity click on,

https://brainly.com/question/29108702

#SPJ4

help Here is your graph of the points on the previous screen.



Connect the points in order to create polygon `ABCDEF`.



1.2 Enter the length of the segment betwee

Answers

The length of the given line AB is 6 units and the polygon ABCDEF has been created.

What is a graph?

A graph is a mathematical structure made up of a collection of points called VERTICES and a set of lines connecting some pair of VERTICES that may or may not be empty.

There is a chance that the edges will be directed, or orientated.

If the lines are directed or undirected, respectively, they are referred to as ARCS or EDGES.

Make a sequence of bars on graph paper as an example of a graph.

So, in the given situation the polygon ABCDEF has been created:

(Refer to the graph attached below)

Now, the length of the side AB:

Count the units as follows which comes to 6 units.


Therefore, the length of the given line AB is 6 units and the polygon ABCDEF has been created.

Know more about the graph here:

https://brainly.com/question/19040584

#SPJ1

Correct question:

Help Here is your graph of the points on the previous screen.

Connect the points in order to create polygon `ABCDEF`.

1.2 Enter the length of the segment between A and B.

A city's yearly snowfall in inches over the last 5 years is recorded.

What is the mean of the snowfall in the last 5 years and how can it be interpreted?

Responses:

A mean of 25 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 25 inches yearly the last 5 years.

A mean of 25 shows that the data values are spread out. It represents that the city's snowfall has been exactly 25 inches each year for the last 5 years.

A mean of 27.2 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 27.2 inches yearly the last 5 years.

A mean of 27.2 shows that the data values are spread out. It represents that the city's snowfall has been exactly 27.2 inches each year for the last 5 years.

Year Snowfall (inches)
2015 25
2016 27
2017 25
2018 29
2019 30

Answers

Answer:

A mean of 27.2 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 27.2 inches yearly over the last 5 years.

Step-by-step explanation:

The mean, also known as the average, is the sum of all the data values divided by the number of data points. In this case, the mean of 27.2 inches indicates that, on average, the city has experienced a snowfall of approximately 27.2 inches per year over the last 5 years. The fact that the mean is close to the individual values of 25, 27, 25, 29, and 30 inches suggests that the data points are relatively close together and do not deviate significantly from the mean, indicating that the snowfall in the city has been relatively consistent over the past 5 years.

PLEASE HELP DUE TODAY!!!!!!!

Consider the functions g(x) = 2x + 1 and h(x) = 2x + 2 for the domain 0 < x < 5


a. Without evaluating or graphing the functions, how do the ranges compare?


b. graph the 2 functions and describe each range over the given interval

Answers

Answer:

see the images and explanation

Step-by-step explanation:

for the graph:

the domain 0 < x < 5

the range for each functions:

g(x) = 2x + 1

g(x) = y  ,   1 < y < 11

h(x) = 2x + 2 ,  2 < y < 12

Other Questions
T/F the types of questions classified by the amount and specificity of information desired and those classified by strategic purpose are mutually exclusive. How mexican government works? calculating future values assume you deposit $10,000 today in an account that pays 6 percent interest. how much will you have in five years? Becky ate 7.5 x 10^5 milligrams of rice. Carter ate 3.1 x 10^6 milligrams of rice. who ate more? __________________ is the application of pulling force to hold a bone in alignment. Garnet & Gold (G&G) is the worlds largest publications firms. Four years ago G&G issueda $1,000 par value bond. The bond had the following characteristics:30-year maturityInterest is paid annually (coupon rate of 6.5%)Callable (original call protection period was 10 years)If the bond is called, the firm will pay a $75 premium (i.e. callable at $1,075).The current price of the bond is $940.87. The yield to maturity is 7%.Calculate the current yield and the duration What is the meaning of jurisdiction? the ability of a federal judge to serve a lifetime appointment the reversal of a trial courts decision by an appeals court the power of courts to make legal decisions in a certain areathe role of the Supreme Court in deciding the constitutionality of laws----Which case would a federal court have jurisdiction over? a case in which an accountant is being sued for stealing money from his clients a divorce case involving two very famous celebrities who are each demanding large settlements a case involving the constitutionality of a restaurant chain refusing to serve specific customersa case brought by private citizens against a pet shop owner they believe is treating animals inhumanely by purchasing software that gathers data and predicts trends in the most popular genres without any extra programming, the library can purchase the books that people will read be19.1 (lo 1) in 2020, amirante corporation had pretax financial income of $168,000 and taxable income of $120,000. the diff erence is due to the use of diff erent depreciation methods for tax and accounting purposes. the eff ective tax rate is 20%. compute the amount to be reported as income taxes payable at december 31, 2020. whats the final value? In financial analysis, it is important to select an appropriate discount rate. A project's discount rate must be high to compensate investors for the project's risk. The return that shareholders require from the company as a compensation for their investment risk is referred to as the cost of equity. Consider this case:Markung's Co. is a 100% equity-financed company (no debt or preferred stock); hence, its WACC equals its cost of common equity. Markung's Co.'s retained earnings will be sufficient to fund its capital budget in the foreseeable future. The company has a beta of 1.65, the risk-free rate is 5.5%, and the market return is 7.2%. What is Markung's Co.'s cost of equity?a) 29.13%b) 8.31% c) 10.01% d) 19.08% what area of the mirror is used to reflect the rays entering one eye from a point on the tip of your nose if your pupil diameter is 4.8 in the regression of the general fertility rate (gfr) on the tax personal exemption (pe) and its first lag the fitted regression is: what is the impact propensity? In southern Africa around 1000 CE, groups of herders began to come together, forming larger groups, probably for protection. One of the cities that developed from these groups became the capital for the Shona kingdom. The kingdom reached its height between 1250 and 1450 CE. Today, the site is largely in ruins, but you can still get a sense of its architecture and structure. What is the name of this city? A. Tassili n Ajjer B. Benin C. The Great Zimbabwe D. Nok the relative importance of each facet of operational information is directly related to the degree to which a supply chain is positioned to function on a(n) It is recorded that the salt March story filed by eyewitness reporter Webb Miller was carried by 1350 newspapers around the world. Explain why this is important wheb explaining the success of Gandhi movement the most common constituent of gas in the disk of the milky way galaxy is ________. once ejected, how long does it take the electrons with maximum kinetic energy to travel 2.34 cm to a detection device, in seconds? you may assume these electrons travel in a collisionless manner. if a server is using manual synchronization, how often should the server be manually synchronized?group of answer choicesat least once a dayat least once a weekat least on a biweekly basisat least on a monthly basis Economic Anthropologists study:a. the decisions people make about earning a livingb. what types of work people choose to doc. the creation of valued. all of these