The ratio of dogs to cats is 2:3. If there are 520 dogs, determine how many cats are there?

Answers

Answer 1

If the ratio of dogs to cats is 2:3 and there are 520 dogs, the number of cats is 780.

What is the ratio?

The ratio refers to the relative size of one quantity or value compared to another quantity or value.

Ratios are proportionate values stated in ratio form using (:), in percentages or fractions.

The ratio of dogs to cats = 2:3

The sum of ratios = 5

The number of dogs based on this ratio = 520 dogs

The total number of dogs and cats based on the above ratio and the number of dogs = 1,300 (520/2 x 5)

The ratio of cats to dogs = 3:2 or 3/5

The number of cats = 780 (1,300 x 3/5)

Thus, using the ratio of dogs to cat, with the number of dogs as 520, there are 780 cats.

Learn more about ratios at https://brainly.com/question/2914376.

#SPJ1


Related Questions

at a local book store, fiction books were on sale. Some were priced at $6 and some at $8. Marci bought 10 books and spent a total of $68.00. How many $6 books did she buy?​

Answers

Answer:

6 $6 books

Step-by-step explanation:

Using the information, we can create a system of equations.

We can let x represent the total number of $6 Marci bought and y represent the total number of $8 books she bought.

Because the total number of books is 10, one equation we have is x + y = 10.

Because the total cost of both types of books is $68, our other equation is 6x + 8y = 68.

We can solve with substitution by isolating y in the first equation and plugging it into the second equation:

[tex]x+y=10\\y=-x+10\\\\6x+8(-x+10)=68\\6x-8x+80=68\\-2x+80=68\\-2x=-12\\x=6[/tex]

Thus, the total number of $6 books Marci bought was 6.

The length of a rectangle is 1 ft more than double the width, and the area of the rectangle is 28 ft². Find the dimensions.​

Answers

28= (1+2x)(x)

28=x+2x²

2x²+x-28 = 0

2x²+8x-7x-28 =0

2x(x+4) -7(x+4) =0

(x+4)(2x-7) = 0

x = -4 and 7/2

dimensions can't be negative

length=1+2×7/2 =1+7 = 8ft

width= 7/2ft

Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all
relevant drawings and justify your answers (show all your work). You may show your solution in more
than one way to investigate beyond the requirements of the problem. (21 pts)
1. a. Tell how you know that a system of linear equations has no solutions. (3 pts)
b. Write a system of two linear equations that has no solution. (3 pts)
c. Tell how you know that a system of two linear equations has more than one solution. How
many solutions will such a system have? Justify your answer. (3 pts)
d. Write a system of two linear equations that has more than one solution. (3 pts)
e. Write a system of linear equations that has only one solution. (3 pts)
f. Solve the system of equations in part e in at least two ways. (3 pts)
g. Write a word problem that can be solved using a system of two linear equations. Solve the
problem and give the meaning of the answer. (3 pts)

Answers

The solutions of a system of linear equations are as follows;

1. Their slope is the same but their y-intercept are different

b. y = 3·x + 2 and y = 3·x + 5

c. The equations are the same

d. y = 3·x + 2 and y = 9·x + 15

e. y = 3·x + 2, and y = 8·x + 5

f. x = 0, y = 0

g. Please see the following section

What is a system of linear equations?

A system of linear equations are equations that have the same variables.

1. a. A system of linear equations have no solution if the equations in the system of equations have the same slope

b. y = 3·x + 2, and y = 3·x + 5

c. A system of two linear equations has more than one solution if the equations in the system are the same

The number of solutions = Infinite number of solutions

d. y = 3·x + 5, 3·y = 9·x + 15

e. y = 3·x + 5, y = 8·x + 5

f. y = 3·x + 5, y = 8·x + 5

Therefore; 3·x + 5 = 8·x + 5

3·x = 8·x

3·x - 8·x = 0

-5·x = 0

x = 0/(-5) = 0

x = 0

y = 3·x + 5

y = 3 × 0 + 5 = 5

y = 5

The solution is therefore;

x = 0, y = 5

g. A customer wants to spend a total of ¢50 to buy drawing pads and pencils. The cost of the pencil the customer intends to buy is ¢2, and the cost of each drawing pad is ¢8. The number of pencils and the number of drawing pads the customer buys are the same.

How many drawing pads and pencils does the customer buy.

Let x represent the number of drawing pad the customer buys and let y represent the number pencils the customer buys, we get;

8·x + 2·y = 50

x = y

Therefore;

8·x + 2·x = 50

10·x = 50

x = 50/10

x = 5

Therefore; y = 5

The number of drawing pads and pencils the customer buys are 5 each.

Learn more on linear system of equations here: https://brainly.com/question/30586361

#SPJ1

Ariana has a deck that measures 16 feet by 24 feet. She wants to increase each
dimension by equal lengths so that its area is doubled. By how much should she
increase each dimension?

Can anyone help plss:)

Answers

Answer:

The answer would be 80.

Step-by-step explanation:

First you want to add 16 and 24.

Next you want to multiply that answer by 2.

Then you have your answer and I hope this helps

A piece of cheese has a mass of 216 g and a density of 1.6 g/cm³. Calculate the volume of the cheese.​

Answers

The formula states that volume equals mass divided by density so u would do 216g/1.6g/cm^3=.135L I think this how u do it cause I’m not sure about which units to use

The volume of the cheese is approximately 135 cubic centimeters.

To calculate the volume of the cheese, we can use the formula:

Volume = Mass / Density

Given that the mass of the cheese is 216 grams and the density is 1.6 g/cm³, we can plug these values into the formula:

Volume = 216 g / 1.6 g/cm³

Now, we need to convert the units so that they are consistent. Since density is given in grams per cubic centimeter (g/cm³), we need to convert the mass from grams to cubic centimeters.

1 gram is equal to 1 cubic centimeter, so:

Volume = 216 cm³ / 1.6 cm³

Now, divide:

Volume ≈ 135 cm³

The volume of the cheese is approximately 135 cubic centimeters.

To know more about volume click here :

https://brainly.com/question/29291783

#SPJ2

Find an expression which represents the difference when (−5x+7) is subtracted from (9x+5) in simplest terms.

Answers

14x - 2

To find the difference between (−5x+7) and (9x+5), we need to subtract the first expression from the second.

(9x+5) - (-5x+7)

= 9x + 5 + 5x - 7 [Distribute the negative sign to (-5x+7)]

= 14x - 2

Therefore, the difference between (−5x+7) and (9x+5) is 14x - 2.

Exhibit 3-2 A researcher has collected the following sample data. The mean of the sample is 5. 3 5 12 3 2 Refer to Exhibit 1. Rhe variance is"
a. 80
b. 4.062
c. 13.2
d. 16.5

Answers

The variance of the sample is 17.05. However, none of the given options matches with this value. The closest option is option (d) 16.5.

What is variance?

Variance is a measure of the spread or variability of a set of data. It is the average of the squared differences from the mean. The formula for variance is:

Variance = (sum of squared deviations from the mean) / (number of observations - 1)

where the squared deviation from the mean is the difference between each data point and the mean of the data set, squared. The variance is useful in statistical analysis and can provide information about the distribution of the data. A higher variance indicates that the data is more spread out, while a lower variance indicates that the data is clustered more closely around the mean.

In the given question,

To find the variance of the sample, we can use the formula:

Variance = [(sum of squared deviations from the mean)/ (number of observations - 1)]

First, we need to find the squared deviation of each observation from the mean, which is the difference between each observation and the mean, squared:

(3-5.4)² = 5.76

(5-5.4)² = 0.16

(12-5.4)² = 43.56

(3-5.4)²= 5.76

(2-5.4)²= 12.96

Next, we need to sum up these squared deviations:

5.76 + 0.16 + 43.56 + 5.76 + 12.96 = 68.2

Then, we divide the sum of squared deviations by the number of observations minus 1:

Variance = 68.2/(5-1) = 17.05

Therefore, the variance of the sample is 17.05. However, none of the given options matches with this value. The closest option is option (d) 16.5.

To know more about variance, visit:

https://brainly.com/question/29727198

#SPJ1

a square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
the square has side lengths of xcm
the area of the circle is 56cm squared.
work out the value of x to 3 significant figures.

Answers

After addressing the issue at hand, we can state that  As a result, the square value of x to three significant figures is 5.03 cm.

what is a square?

According to Euclidean geometry, a square is an equilateral quadrilateral with four equal sides and four equal angles. It is also referred to as a rectangle with two neighbouring sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Furthermore, the diagonals of the square are evenly spaced and split at a 90-degree angle. a neighbouring rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.

The Pythagorean theorem can be used to find the square's diagonal:

2x2 = diagonal2 = x2 + x2 = 2x2[tex]x * \sqrt = diagonal = sqrt(2x2) (2)[/tex]

Because the diagonal equals the circle's diameter, the radius is half of the diagonal:

x * \sqrt(2) / 2 = radius

We can now use the formula for the area of a circle to calculate x:

[tex]\pi * radius2 = area[/tex]

[tex]\Pi * (x * sqrt(2) / 2)2 = 56[/tex]

[tex]56 = pi * (x^2 / 2)[/tex]

[tex]x^2 = 112 / pi[/tex]

x = 5.027 (rounded to 3 significant figures) (rounded to 3 significant figures)

As a result, the value of x to three significant figures is 5.03 cm.

To know more about square visit:

https://brainly.com/question/14198272

#SPJ1

Write a word problem involving percents for which the percent is about one half and the whole is known. Write a percent equation for the problem and then use it to solve the problem

Answers

The purchase cost is $40. Question: What is the discount price of shoes if they were originally $80 and are currently on sale for 50% off.  % formula: Sale price equals 50% of $80.

The word puzzle asks you to determine the sale price of shoes that are being offered at a 50% discount. The percent equation, which asserts that the percent of the whole is equal to the part over the entire, or percent = part/whole, may be used to solve this problem. In this instance, the sale price is the component we are interested in, the initial price of $80 is the component as a whole, and 50% is the percentage. With these numbers as inputs, we can calculate the sale price as 50% of $80. When we solve for the sale price, we arrive at $40. Hence, the sneakers are $40 on sale.

learn more about Sale price here:

https://brainly.com/question/29363568

#SPJ4

Write a word problem involving percents for which the percent is about one half and the whole is known. Write a percent equation for the problem and then use it to solve the problem. If a store has a sale on shoes for 50% off and the original price is $80, what is the sale price?

Cual expresion algebraica representa la siguiente frase? N aumetado en un 25% A. 0. 25N

B. N + 0. 25N

C. 25N

D. N + 25

Answers

The algebraic expression that represents the sentence "N increased by 25%" is 0.25N.

Hence the correct option is A.

This means that N is multiplied by 0.25 or 1/4. To find the result of N increased by 25%, you simply need to multiply N by 0.25 and add the result to the original value of N. The option A, 0.25N, represents this concept in a clear and concise manner.

The other options (B, C, and D) are either incomplete or incorrect. It is important to understand the concept of percentage increase and how it is represented algebraically, as it is a common operation in many mathematical and real-life scenarios, such as calculating interest rates, growth rates, and inflation rates.

To know more about algebraic expression here

https://brainly.com/question/28656760

#SPJ4

342×38 without using a calculator

Answers

Answer:

12996

Step-by-step explanation:

To solve 342 × 38 without using a calculator, we can use the traditional multiplication method, as follows:

342
× 38
-----
2052 (2 x 342)
13680 (3 x 342, plus a zero)
-----
12996

Therefore, 342 × 38 = 12,996.

On a coordinate plane, a parabola with a solid boundary line opens down. It goes through (negative 2, 0), has a vertex at (2, 12), and goes through (6, 0). Find the symbol and coefficients for the standard form of the inequality represented by the graph. y the boundary line. a = b = c =

Answers

Therefore , the solution of the given problem of inequality comes out to be   y - 12 = -(3/4)(x - 2)².

What is an inequality?

Without the equal sign, an association or collection of numbers can be a disparity in mathematics. Equity always comes after equilibrium. When standards are still incompatible, inequality results. Fairness and disparity have different variable characteristics. Because parts aren't always similar or close to one another, we decided to select the most common symbol (). It is also possible to use disparities of any size to assess values.

Here,

We must recast the parabola's equation in this form in order to determine the inequality's standard form. The vertex version of a quadratic equation is as follows:

=> y = a(x - h)² + k

where (h, k) is the parabola's apex. Inputting the numbers provided yields:

=> y = a(x - 2)² + 12

We can use the information that the parabola passes through (-2, 0) and to determine the value of a. (6, 0). When we enter these values into the formula, we obtain:

=> 0 = a(-2 - 2)² + 12

=> 0 = 16a + 12

=>  a = -3/4

The parabola's solution is as follows:

=>  y = -(3/4)(x - 2)²

We need to separate y on one side in order to determine the inequality's standard form:

=> y - 12 = -(3/4)(x - 2)²

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

There are 150 players on the high school football team. 30% of the players are on the freshman team, and the rest of them are on either JV or varsity.
How many players are on the freshman team?

Answers

You have to subtract 30% from 100% then divide 70% by 100 to get .70 then multiply.70 by 150 M. .70x150=105 freshman

PLSSSSSSSSSS HELPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!
How is the quotient of 8,552 and 16 determined using an area model?

Enter your answers in the boxes to complete the equations.

8,552 ÷ 16 = (___÷ 16) + (480 ÷ 16) + (___ ÷ 16) + (8 ÷ 16)

8,552 ÷ 16 = ___ +30 + ___ + 8/16

8,552 ÷ 16 = ___ 1/2

Answers

Answer:

Step-by-step explanation:

Hi there I am able to help so when you do 8,552/16 it is best to reverse it then add the expression, what I mean by that is translating expressions. the answer would be 444.23 then you would want to add (480/16) no mental math how you would do this is the recalabric way, take 480/16 and put in an a fraction to make it work easier than the rest of your problems you would do the same things its simple, just repeat what I did to all the other problems,

regards, me

Use the properties of exponents to rewrite y = 5e-0. 7t in the form ya(1 + r)' or y = a(1-r). Round the value of r to the

nearest thousandth. Then find the percent rate of change to the nearest tenth of percent

Answers

The percent rate of change to the nearest tenth of a percent is approximately 30.0% for both forms.

Starting with [tex]Y=5e^{-0.7}[/tex]  we can rewrite it using the property that [tex]e^{In(x)} = x[/tex]:

[tex]y=5e^{0.7t} = 5e^{ine^{in-0.7t} } =5e^{ln(5)}e^{-0.7t}[/tex]

Using the property that e^(ln(x)) = x again, we can simplify further:

[tex]y = 5e^{(ln(5)} e^{-0.7t} = 5(5^{1/In(5)}e^{-0.7t})[/tex]

Let [tex]a = 5^{1/ln(5)}[/tex]and r = 0.7, then we have:

[tex]y = 5a(1 + r)^{-t} ; y = a(1 - r)^t[/tex]

Rounding r to the nearest thousandth, we have:

r ≈ 0.700

To find the percent rate of change, we can use the formula:

percent rate of change = (1 ± r) * 100%

For the first form, we have:

percent rate of change = (1 - 0.700) * 100% ≈ 30.0%

For the second form, we have:

percent rate of change = (1 - 0.700) * 100% ≈ 30.0%

Therefore, the percent rate of change to the nearest tenth of a percent is approximately 30.0% for both forms.

To learn more about percent Click here:
brainly.com/question/28670903

#SPJ4

write the ratio in the simplest form ;120mimutes:4hours:6hours​

Answers

Answer:60 minutes = 1 hr120 minutes = 1×2 hrs = 2 hrsRatio = 2:4:6

The Angler's Club requires that members spend at least $250 per month at their restaurant. Mr. Donovan has spent $179. 85 so far this month. Write an inequality to describe the situation, then complete the sentence.

Answers

Mr. Donovan still needs to spend at least $70.15 in the restaurant this month to meet the Angler's Club requirement.The inequality that describes the situation is:250 - 179.85 ≤ x

where x represents the amount of money Mr. Donovan still needs to spend in order to meet the Angler's Club requirement.

To solve for x, we first subtract 179.85 from 250 to get:

70.15 ≤ x

Therefore, Mr. Donovan still needs to spend at least $70.15 in the restaurant this month to meet the Angler's Club requirement.

In summary, Mr. Donovan's spending so far this month is less than the minimum required by the Angler's Club, and he needs to spend at least $70.15 more to meet the requirement.

Find out more about amount of money

brainly.com/question/25315992

#SPJ1

an
How was Malaka's father finally able to move to the
United States?
O He saved enough money to afford the cost of moving.
He was accepted to UCLA's School of Management.
He studied and was able to pass the TOEFL.
He received a teaching job at UCLA.

Answers

Answer:

B

Step-by-step explanation:

He was accepted to UCLA's School of Management

A physics exam consists of 9 multiple-choice test that has 7 questions. Each of the questions has 5 choices, with one correct choice per question. If you select one of these options per question and leave nothing blank, in how many ways can you answer the questions?

A.) 78,125
B.) 16,807
C.) 35
D.) 12

Answers

Using expression 5⁷ x 9,  there are 59,049,125 ways to answer all 9 tests if you select one option per question and leave nothing blank.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that represents a value or a quantity.

Expressions can be simple or complex, and they can contain one or more variables. For example, "2x + 3" is a simple expression that contains the variable x.

Now,

To solve this problem, we can use the multiplication principle of counting, which states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

For each of the 9 tests, there are 5 choices for each of the 7 questions. Therefore, there are 5 x 5 x 5 x 5 x 5 x 5 x 5 possible ways to answer the questions on each test. Using the multiplication principle, we can find the total number of ways to answer all 9 tests by multiplying the number of ways to answer each test together:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5⁷ x 9 = 59,049,125

Therefore,

                 there are 59,049,125 possible ways ways to answer all 9 tests if you select one option per question and leave nothing blank.

To know more about expressions visit the link

brainly.com/question/13947055

#SPJ1

The net of a right circular cylinder is shown.

net of a cylinder where the radius of each circle is labeled 4 meters and the height of the rectangle is labeled 8 meters

What is the surface area of the cylinder? Use π = 3.14 and round to the nearest whole number.

251 m2
301 m2
502 m2
804 m2

Answers

The surface area of a right circular cylinder can be found by adding the area of the two circular bases and the lateral surface area.

The area of each circular base is πr^2, where r is the radius. In this case, the radius is 4 meters, so the area of each circular base is:

π(4)^2 = 16π

The lateral surface area is the area of the rectangle that forms the curved surface of the cylinder. The height of the rectangle is the same as the height of the cylinder, which is 8 meters, and the base of the rectangle is the circumference of the circle, which is 2πr. So, the lateral surface area is:

8(2πr) = 16πr

Substituting r = 4, we get:

16π(4) = 64π

Adding the areas of the two circular bases and the lateral surface area, we get:

16π + 16π + 64π = 96π

Using π = 3.14 and rounding to the nearest whole number, the surface area of the cylinder is:

96π ≈ 301 square meters

Answer:

The first person to answer was correct, the answer is 301 m squared.

Step-by-step explanation:

I took the quiz so you don't have to! <3


Help with work shown all of them

Answers

The expression are simplified to ;

7. 16 + 8g

8. 4h - 20g

9. -35 + 7n

10. 16m + 8

13. -56n + 7m

14. -36 - 6d

15. -8c - 4d

16. -6f + 10g

What are algebraic expressions?

Algebraic expressions are defined as expressions that are usually made up of terms, variables, constants, factors and coefficients.

These expressions are identified with mathematical or arithmetic operations, such as;

AdditionMultiplicationSubtractionBracketDivisionParentheses, etc

From the information given, we need to expand the bracket to determine the expressions, we have;

a. -7(8n - m)

expand the bracket

-56n + 7m

b. (6+d)(-6)

expand the bracket

-36 - 6d

c. (4c + 2d) - 2

expand the bracket

-8c - 4d

d. -2(3f - 5g)

expand the bracket

-6f + 10g

e. (2 + g) 8

expand the bracket

16 + 8g

f. 4(h - 5g)

expand the bracket

4h - 20g

g. -7(5 - n)

expand the bracket

-35 + 7n

h. 8(2m + 1)

expand the bracket

16m + 8

Learn more about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Step-by-step explanation:

13. -7(8n-m)= -56n+7m

14. (6+d)(-6)= -36-6d

15. (4c+2d)(-2)= -8c-4d

16. -2(3f-5g)= -6f+10g

7. (2+g)8= 16+8g

8. 4(h-5g)= 4h-20g

9. -7(5-n)= -35+7n

10. 8(2m+1)= 16m+8

28 students are divided into
7 groups for a party game.
32 students would create
how many groups of the
same size?

Answers

Answer:

If 28 students are divided into 7 groups, then each group will have 28/7 = 4 students.

To find out how many groups would be created if there were 32 students, we can use the same ratio:

32 students divided into groups of 4 students each would give us:

32/4 = 8 groups.

Therefore, if there were 32 students, they would be divided into 8 groups of the same size.

A firm has classified its customers in two ways: according to whether the account is overdue and whether the account is new (less than 12 months) or old. An analysis of the firm's records provided the input for the following table of joint probabilities: One account is selected at random. If the account is overdue, what is the probability that it is new? If the account is new, what is the probability that it is overdue?

Answers

The probability that it is new is 0.0833.

The probability that it is overdue is 0.25.

How to calculate conditional probability?

To solve this problem, use conditional probability.

Let A be the event that the account is new, and B be the event that the account is overdue.

A) To find the probability that an account is new given that it is overdue, calculate:

P(New | Overdue) = P(New and Overdue) / P(Overdue)

P(New | Overdue) = 0.05 / (0.05 + 0.55) = 0.0833 or 8.33%

So the probability that the account is new, given that it is overdue, is 8.33%.

B) To find the probability that an account is overdue given that it is new, calculate:

P(Overdue | New) = P(Overdue and New) / P(New)

P(Overdue | New) = 0.05 / (0.05 + 0.15) = 0.25 or 25%

So the probability that the account is overdue, given that it is new, is 25%.

Learn more on conditional probability here: https://brainly.com/question/27684587

#SPJ1

The complete question is:

A firm has classified its customers in two ways: according to whether the account is overdue and whether the account is new (less than 12 months) or old. An analysis of the firm's records provided the input for the following table of joint probabilities: One account is selected at random. If the account is overdue, what is the probability that it is new? If the account is new, what is the probability that it is overdue?

the measure of three interior angle of a triangle are in the ratio 2፡3፡4. what is the measure of the smallest and largest interior angles of triangle?​

Answers

Answer:

Below

Step-by-step explanation:

The interior angles of ANY triangle add up to 180 degrees

   you want to divide this 180 into   2 + 3 + 4 = 9  parts

       180 / 9 = 20 degrees for each part

           2 parts = 2 * 20 = 40 °

          4 parts = 4 * 20 = 80 °

the new HC cell phone company is offering a plan for unlimited talk and text with an additional charge for data that can be represented by the function H ( g ) = 22.99g + 50, where H represents the cost, in dollars, and g represents the number of gigabytes of data. According to this model, fill in the blanks to correctly complete the sentence below. The cost of the plan for the limited talk and text is _____ with a an additional cost of _______ for each gigabyte of data.

Answers

The cost of the plan for the limited talk and text is $50 with an additional cost of $22.99 for each gigabyte of data.

How did we determine the cost of the plan?

Generally, a mathematical function means a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables. It can take an input from many variables but will  always give the same output, unique to that function.

We are given that "H(g) = 22.99g + 50", where H represents the cost, in dollars, and g represents the number of gigabytes of data. The main answer is based on the given function where the constant term of 50 represents the cost of the plan for limited talk and text, and the coefficient of 22.99 represents the additional cost for each gigabyte of data used.

Read more about function

brainly.com/question/10439235

#SPJ1

A bicycle wheel make five rotations. The bicycle travel 30. 09 find the diameter

Answers

The diameter of the wheel is approximately 1.918 meters.

We can use the formula:

distance traveled = circumference of wheel x number of rotations

The circumference of the wheel is equal to the distance traveled in one rotation, which is equal to the diameter of the wheel times pi (π). So we can rewrite the formula as:

distance traveled = (diameter of wheel x π) x number of rotations

where d is the diameter of the wheel.

We are given that the bicycle travels 30.09 meters and the wheel makes five rotations, so we can plug in these values:

30.09 = (d x π) x 5

Solving for d, we get:

d = 30.09 / (π x 5)

d ≈ 1.918 meters

Learn more about rotations here

brainly.com/question/29572450

#SPJ4

exponential law of heating and cooling

Answers

Part A: k = 8.4, to find the value of k, we must solve for k in the equation.

Part B: 193°F is the temperature of the water after 4.5 minutes.

What is initial temperature?

Initial temperature is the temperature of a system before it undergoes a change. It can be calculated by subtracting the change in temperature from the final temperature.

Part A: k = 8.4

To find the value of k, we must solve for k in the equation.

We are given the temperature of the room (67°F) and the initial temperature of the water (208°F).

We are also given the temperature of the water after 3 minutes (193°F). We can plug these values into the equation and solve for k:

T-Ta = k(To-T)

193-67 = k(208-193)

126 = 15k

k = 126/15

k = 8.4

Part B: 193°F

To find the temperature of the cup of water after 4.5 minutes, we can plug the k-value we found in Part A into the equation, along with the given temperature of the room (67°F) and the initial temperature of the water (208°F).

T-Ta = k(To-T)

T = Ta + k(To-T)

T = 67 + 8.4(208-T)

T = 67 + 1747.2 - 8.4T

9.4T = 1814.2

T = 193

For more questions related to system

https://brainly.com/question/847634

#SPJ1

Part A: k = 8.4, to find the value of k, we must solve for k in the equation.

Part B: 193°F is the temperature of the water after 4.5 minutes.

What is initial temperature?

The temperature of a system at the start of a shift is called the initial temperature. You can figure it out by deducting the final temperature from the temperature difference.

Part A: k = 8.4

We must answer for k in the equation in order to determine its value.

We are informed of the room's temperature (67°F) and the water's starting temperature (208°F).

After three minutes, we are also told the water's temperature (193°F). We can solve for k by entering these numbers into the equation:

T-Ta = k(To-T)

193-67 = k(208-193)

126 = 15k

k = 126/15

k = 8.4

Part B: 193°F

We can enter the k-value we discovered in Part A, the given room temperature (67°F), and the starting temperature of the water (208°F) into the equation to determine the temperature of the cup of water after 4.5 minutes.

T-Ta = k(To-T)

T = Ta + k(To-T)

T = 67 + 8.4(208-T)

T = 67 + 1747.2 - 8.4T

9.4T = 1814.2

T = 193

To know more about Equation, visit:

https://brainly.com/question/2972832

#SPJ1

The complete question is,

EXIT TICKET

After heating up in a teapot, a cup of hot water is poured at a temperature of 208^0F . The cup sits to cool in a room at a temperature of 67^0 F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between temperature of the water and the temperature of the room, as given by the formula shown below.

Part A: If the cup of water reaches the temperature of 193^0 F after 3 minutes. Find the value of k, to the room, as given by the formula shown below. nearest thousandth.

Part B: Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4.5 minutes.


[tex]f(x) = \frac{ {x}^{3} + 1 }{ {x}^{3} - 2} [/tex]
Find the inverse​

Answers

Answer:

Step-by-step explanation:

[tex]f^-1[/tex][tex]\sqrt[3]{1/-1+x | + | 2x/-1+x}[/tex]

Isaac walks 6/10 of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaac’s walking rate in miles per hourur

Answers

Answer: 3 mph

Step-by-step explanation:

I did it in mah brain

A parallelogram of base 12cm has an area 108sq. Cm. Find the height

Answers

The height of the parallelogram is 9 cm.

To find the height of a parallelogram with a given base and area, we can use the formula:

Area = base x height

In this case, we are given that the base of the parallelogram is 12 cm and the area is 108 sq. cm. Substituting these values into the formula, we get:

height = 108/12

Simplifying this expression, we get:

height = 9cm

A parallelogram is a four-sided polygon with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other. The opposite angles are also equal in measure, meaning that the adjacent angles are supplementary (their sum is 180 degrees).

Find more about parallelogram

brainly.com/question/14039862

#SPJ4

Other Questions
El banco s no 2. El supermercado s no 3. La farmacia s no 4. La frutera s no 5. La iglesia s no 6. La joyera s no 7. La librera s no 8. El correo s no 9. La panadera s no 10. La pescadera s no Diligencias 11. Comprar estampillas s no 12. Comprar medicinas s no 13. Comprar pan s no 14. Comprar pescado s no 15. Comprar un libro s no 16. Comprar un reloj s no 17. Depositar dinero s no 18. Firmar un documento s no 19. Hacer compras para la cena s no 20. Llenar un formulario s no The analysis of Case 1 in Section 6.2 assumes that employment is determined by labor demand. Under perfect competition, however, employment at a given real wage will equal the minimum of demand and supply; this is known as the short-side rule. Draw diagrams showing the situation in the labor market when employment is determined by the short-side rule if:(a)P is at the level that generates the maximum possible output.(b)P is above the level that generates the maximum possible output. some analysts argue that in order to continue using oil at the current rate, we must discover and add to global oil reserves the equivalent of two new saudi arabian reserves every 7 years. do you think this is possible Starting from rest at a height equal to the radius of the circular track, a block of mass 24 kg slides down a quarter circular track under the influence of gravity with friction present (of coefficient ). The radius of the track is 26 m.The acceleration of gravity is 9.8 m/s2 .If the kinetic energy of the block at the bottom of the track is 3700 J, what is the work done against friction?Answer in units of J. What do these two changes have in common?firing a clay pot in a hot kilnbleaching hair whats the probability for a quarter to land on tails and a rolling die to land on two Discuss in details the difference among programmed I/O, Interrupt Driven I/O and Direct Memory access over the processor A car is sitting motionless on top of a bridge. The bridge pushes up on the car with a force of 782 Newtons. What force must gravity pull down on the car with in order to break the bridge? You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will choose an orange candy out of the bowl? A 50% B 60% C 20% D 25% A taxi journey takes the passenger to a destination 8 km south and 3 kn west of its starting point. Find the distance and bearing of the destination from its starting point. Using trigonometry. in the product market, in the product market, producers sell goods and services to consumers. individuals sell factors of production to businesses. productive resources are bought and sold. a nation's total output of goods and services increases. the amount of output produced by a given amount of inputs is measured. A letter saying it's a bad idea to have a nose ring a formal letter 1. Prepare journal entries to record the preceding transactions. 2. Post the entries prepared in step 1 to their respective T-accounts. 3. Prepare a journal entry to close any balance in the Manufacturing Overhead account to Cost of Goods Sold. 4. Prepare and income statement for the year. Information and Data White Corporation is a manufacturer that uses job-order costing. On January 1, the company's inventory balances were as follows: Raw Materials $20,000 Work in Process $15,000 Finished Goods $30,000 The company applies overhead cost to jobs on the basis of machine-hours worked. For the current year, the company's predetermined overhead rates was based on a cost forumulat that estimated $450,000 of total manufacturing overhead for an estimated activity level of 75,000 machine-hours. The following transactions were recorded for the year: A. Raw materials were purchased on account, $410,000. B. Raw materials were used in production, $380,000 ($360,000 direct materials and $20,000 indirect materials). C. The following costs were accrued for employee services: Direct Labor, $75,000; Indirect Labor, $110,000; Sales Commissions, $90,000; and Administrative Salaries, $200,000. D. Sales travel costs (on account) were $17,000. E. Utility costs (on account) in the factory were $43,000. F. Advertising costs (on account) were $180,000. G. Depreciation was recorded for the year, $350,000 ($280,000 relates to factory assets and $70,000 relates to selling and administrative assets). H. Insurance expired during the year, $10,000 ($7,000 relates to factory operations and the remaining relates to sellling and administrative activities. I. Manufacturing overhead was applied to production. Due to greater than expected demand for its products, the company worked 80,000 machine hours on all jobs during the year. J. Jobs costing $900,000 to manufacture according to their job cost sheets were completed during the year. K. Jobs were sold on account to customers during the year for a total of $1,500,000. The jobs cost $870,000 to manufacture according to their job cost sheets. L. Close out entry to for Underapplied / Overapplied Manufacturing Overhead (as stated in item 3 above). b) If 2x+y=5 and y-3, what is the value of x? He is ....... Back next week. the best reason for why a covalent bond forms is a) two atoms exist as ions and the ions are attracted to each other. b) the atoms that form cations have low ionization energy and anions have high electron affinity, so the two atoms exchange electrons. c) nonmetal atoms cannot react with each other unless they share electrons. d) atoms with high electronegativities will not lose electrons, so instead they share electrons to reach a stable number of valence electrons. Pilgrims Preparation for coming to the colonies Define weight and mass? A 8.83% annual coupon, 10 -year bond has a yield to maturity of 8.15%. Assuming the par value is $1.000and the YTM is expected not to change over the next year, what is the expected Capital Gains Yield for this bond? Please share your answer as a %. Please help me thanks