andrew took a handful of change out of his picket adn noticed taht he was only holding dimes adn quarters in his hand. he counted that he had 22 coins that ammounted to $4. how many quarters and how many dimes does andrew have?

The measure of angle RQT is 63°

From the question, we are to determine the measure of angle RQT.

From the diagram,

We can observe that ∠PQS and ∠SQT form a linear pair

Thus,

∠PQS + ∠SQT = 180°

(4x + 15)° + (10x - 3)° = 180°

First, determine the value of x

4x + 15 + 10x - 3 = 180

4x + 10x = 180 - 15 + 3

14x = 168

x = 168/14

x = 12

In the diagram,

∠RQT and ∠PQS are vertically opposite

From the given information,

∠PQS = (4x + 15)°

∴ ∠RQT = (4x + 15)°

Substitute the value of x

∠RQT = (4(12) + 15)°

∠RQT = (48 + 15)°

∠RQT = 63°

Hence, the measure of angle RQT is 63°

Learn more on Calculating angles here: https://brainly.com/question/11002516

#SPJ1

The result of the given equation is 14.

This is an problem of simplification. And for simplification we need to understand the rule of BODMAS.

BODMAS means we have to first solve B for bracket, O for of, D for divide, M for multiplication, A for addition and S for subtraction.

The rule of BODMAS has to  be followed in order to solve any equation in simplification method.

Here the problem is;

  32+6(14-5×2)÷4

⇒32+6(14-10)÷4

⇒32+6(4)÷4

⇒32+24÷4

⇒56÷4

⇒14

So, the solution of the given equation gives 14 as the answer.

To learn ore about simplification and BODMAS visit the link:

https://brainly.com/question/2804192

#SPJ9

Answer:

x = 1  and x = -3

Step-by-step explanation:

if y = f(x) and f(x) = -5, this means y = -5

draw a horizontal line at y = -5 and see write the x values for where the line intersects with the graph.

The x values are:

x = 1  and x = -3

Answer:

Step-by-step explanation:

A(2,6); B(10,8)

whats the midpoint of the segment?

10 percent to 19 percent of daily value must a snack meet in order for the FDA to consider it a ""good source"" of nutrients.

The Food Manufacturer or Distributor is responsible for ensuring their food product labeling complies with FDA regulations. FDA will not review or approve food labels. If the labels do not comply with FDA requirements, the FDA will consider the product as misbranded and may take regulatory action, including detention.

LMG's Label review service will help you confirm your product labels comply with FDA requirements. We have designed three types of label review services; you can choose the best service which fits your products.

( Food Label Compliance : FDA , Food and Drug administration)

To know more about FDA ,

https://brainly.com/question/19891116?referrer=searchResults

The approximate number of downloads at a price of $0.54 per song is 1910.5

As the problem given we have The table shows the price per song and the number of songs downloaded per day at that Price per Song.

Price per song                                        number of songs

                                                                downloaded per day at that price

$0.89                                                         1,212

$0.79                                                          1704

$0.69                                                          1760

$0.59                                                          1877

$0.49                                                          1944

$0.39                                                          2011  

The formula for the linear interpolation process y = y1 + ((x – x1) / (x2 – x1)) * (y2 – y1), where x is the known value, y is the unknown value. x1 and y1 are the coordinates that are below the known x value, and x2 and y2 are the coordinates that are above the x value.

here x1= 0.49  y1= 1944    x2= 0.59   y2=1877 x=0.54

y=1944+((0.54-0.49)/(0.59-0.49))*(1877-1944)

y=1944-33.5=1910.5

Learn more about  linear interpolation here:

https://brainly.com/question/18768845

#SPJ9

Answer:

your answer is 54%

The resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)

According to the question, we are to write the given statement as an expression

Let the unknown variable be p such that the sum of nine and p is 9 + p

Since "of" means multiplication, hence;

2/3 of the sum of nine and p will be expressed as;

2/3 of (9 + p)

2/3 * (9 + p)

2/3(9+p)

Hence the resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)

Learn more on expression here; https://brainly.com/question/723406

#SPJ1

The number of pizzas you must order for the price to be the same is 5

Bob's Pizza charges = $12 for each supreme pizza

This can be represented as

y = 12x

For Mike's Pizzeria, we have

y = 8x + 20

Substitute y = 12x in y = 8x + 20

12x = 8x + 20

Evaluate the like terms

4x = 20

Divide by 4

x = 5

Hence, the number of pizzas you must order for the price to be the same is 5

Read more about equations at:

https://brainly.com/question/13763238

#SPJ1

If you can't answer this question

The values of x that solve the equation g(x) = 0 are x = -3, 1, 5 and 7 and there are four values of x that solve the equation g(x) = 2

The graph represents the given parameter

(a) Evaluate g (-2), g(0), g (3) and g (7)

To do this, we take the function value at the given value of x

The function g(-2) means

x = -2

So, we have

When x = -2, g(x) = -3

This means that g(-2) = -3

The function g(0) means

x = 0

So, we have

When x = 0, g(x) = -3

This means that g(0) = -3

The function g(3) means

x = 3

So, we have

When x = 3, g(x) = 4

This means that g(3) = 3

The function g(7) means

x = 7

So, we have

When x = 7, g(x) = 0

This means that g(7) = 0

On the graph, we have the following values of x at g(x) = 0

x = -3, 1, 5 and 7

Hence, the values of x that solve the equation g(x) = 0 are x = -3, 1, 5 and 7

See attachment

Using the line in (c), the line crosses the curve four times at y = 2

Hence, there are four values of x that solve the equation g(x) = 2

Read more about functions at

https://brainly.com/question/1415456

#SPJ1

Answer: f(-2)=3

Step-by-step explanation:

f(-2)=(-2-1)^2+3(-2)

=9-6

=3

This is the only true statement out of the questions.

So the answer would be -2.

The probability that the length of time will be between 50 and 70 hour is  0.4082.

Height is a simple instance of an event that describes a normal distribution: most people are of medium height, the proportions of people who are taller and shorter than average are roughly equal, and a very small (but still roughly equivalent) proportion of people either are extremely tall or extremely short.

Now, as per the given question;

Let t be the variable representing the length of time (t = 50)

As a result, the mean of the battery is 50 and the standard deviation is 15.

Thus, μ = 50 (mean) σ = 15 (standard deviation)

Now, we must calculate the probability that t is between 50 & 70.

Thus, the probability  P (50 < t < 70)

The z-value will be calculated as;

Z = (t – μ) / σ

Substitute the values,

Z = 50 – 50 / 15

Z = 0

Now, for the time; t = 70

Z = 70 – 50 / 15

Z = 1.33

Thus, the probability is;

P(50 < t < 70) = P(0 < z < 1.33)

So, the area to left of Z

= 1.33 – area to the left of z = 0

= 0.9082 – 0.5

P(50 < t < 70) = 0.4082

Therefore, the probability that the length of time will be between 50 and 70 hours is 0.4082.

To know more about normal distribution, here

https://brainly.com/question/26822684

#SPJ4

Answer:

Area of one face of pyramid equal 18.55

Step-by-step explanation:

Area of pyramid equal 18.55x4=74.2

According to the given statement the absolute value of just about any complex number Ia + biI seems to be the distance between (a, b) and (0, 0) in the complex plane is √(a² + b²).

After dividing one number by another, the modulo operation yields the remainder or signed remainder of the division. A modulo n seems to be the remainder of something like the Euclidean division on a by n, where an is the dividend and n is the divisor, given two positive numbers a and n.

The modulus operator can be used in a variety of situations. It is frequently used to decrease a randomly generated number to a randomly generated number in a smaller range, and it may also rapidly tell you if one integer is a factor of another.

The modulus of any complex number is its absolute value, regarding which there is a modulus formula. √(a² + b²).

where a and b are integers

Please see the attached file for the complex plane of the provided points (a,b) (0,0).

The separation of two points (x1 ,y1) and (x2 ,y2) will be:

√((x1 - y1)² + (x2 - y2)²)

We need to calculate the distance between (a,b) because (0,0)

We will obtain by replacing the numbers in the distance formula.

√((0 - a)² + (0 - b)²).

The given statement the absolute value of just about any complex number a + bi seems to be the distance between (a, b) and (0, 0) in the complex plane is √(a² + b²).

To know more about modulus visit:

https://brainly.com/question/14070556

#SPJ4

I understand that the question you are looking for is:

now examine |a + bi| and complete the definition below. the absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex plane.

Answer: distance , positive real on edge

Step-by-step explanation:

To find the x-intercept from an equation, you substitute 0 for the variable y

and solve for x

To find the y-intercept from an equation, you substitute 0 for the variable x

and solve for y.

The x-intercept is where a line crosses the x-axis.

In other words, the x-intercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.

The y-intercept is the point where the line crosses the y-axis.

In other words, the y-intercept is the value of the y coordinate of a point where the value of x coordinate is equal to zero.

Hence,

To find the x-intercept from an equation, you substitute 0 for the variable y

and solve for x

To find the y-intercept from an equation, you substitute 0 for the variable x

and solve for y.

learn more on x-intercept and y-intercept here: https://brainly.com/question/20661614

#SPJ1

The answer is 23200.

By using BODMAS , we will first simplify the bracket term.

The bracket term is [tex](3\times10-1)[/tex]

After , bracket we will operate the multiplication term which is given by

     [tex]30-1[/tex]

Now , we will use the subtraction operation .

   [tex]29[/tex]

On solving the bracket , we get 29 .

Now we will multiply 800 by 29 ,we get

[tex]800\times29=23200[/tex]

Learn more about BODMAS here :

#SPJ9

The complete question is mention below :

  Solve  [tex]800(3\times10-1)[/tex]

Answer:

  [tex]\sqrt[5]{27}[/tex]

Step-by-step explanation:

27^(1/5) = [tex]\sqrt[5]{27}[/tex]

========================================

Explanation:

[tex]a_1[/tex] = -10 is the first term

d = 17 is the common difference. We add this amount to each term to get the next one. Eg: -10+17 = 7

We want to find the 66th term, so we'll use n = 66

Plug these values into the nth term arithmetic sequence formula below.

[tex]a_n = a_1 + d(n-1)\\\\a_{66} = -10 + 17(66-1)\\\\a_{66} = 1095\\\\[/tex]

The 66th term is 1095

Answer:

The answer is 1095.

66th term = 1095

Step-by-step explanation:

an = a1 + (n − 1)d

= -10 + (66 - 1) (17)

I did it on calculator.

It equals to = 1095

She will earn $924 if she works 38.5 hours this week

The function is given as

w(h) = 24h, if h < 40

w(h) = (36(h-40)+960 h> 40

If she works 38.5 hours this week, then

h < 40

So, we use

w(h) = 24h

This gives

w(38.5) = 24 * 38.5

Evaluate

w(38.5) = 924

Hence, she will earn $924 if she works 38.5 hours this week

Read more about piecewise functions at:

https://brainly.com/question/18499561

#SPJ1

The transformed function is:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

Here we have the function:

f(x) = x² + x

Now we want to apply a translation of 4 units to the left, followed by a horizontal shrink by a factor of 1/3.

First, the translation is written as:

g(x) = f(x + 4)

Now the shink will give:

g(x) = f( 3*(x + 4))

Replacing the actual function we will get:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

If you want to learn more about transformations:

https://brainly.com/question/4289712

#SPJ1

Answer: 54,000,000

Step-by-step explanation: hope this helps

The break even point obtained for the Sean's business is (60/7, 5100/7).

Part of the question is missing where x denotes a number of games and y denotes the monetary value.

y = 50x + 300

y = 85x

Estimate Sean's business's break-even point.

Calculate the same break even point by following method;

The functions are as follows:

The functions are given as:

Cost: y = 50x + 300   ......equation 1

Revenue: y = 85x       .......equation 2

For the value at break even point;

Cost = Revenue

Thus, equating 1 and 2.

85x = 50x + 300

simplifying;

35x = 300

Dividing both sides by 35

x = 60/7

Put x = 60/7 in equation 2

y = 85 × 60/7

y = 5100/7

Therefore, the break even point are obtained as (60/7, 5100/7).

To know more about the break even point, here

https://brainly.com/question/24233845

#SPJ9

The complete question is-

Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost

of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85,

The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y represents the amount, in dollars.

y = 50x + 300

y = 85

The graph that depicts the graphical representation of the function F(x) is attached below

This is further explained below.

Generally, The collection of ordered pairings where "f(x)=y" exists is the network of a function f.

These pairs are Centroid of locations in two-dimensional space and so constitute a subset of this plane in the typical situation when x and f(x) are real integers.

In conclusion, is a collection of discrete or continuous points that together form a curve or surface and each of which corresponds to a certain function's value. also known as a linear graph.

Read more about  graph

https://brainly.com/question/17267403

#SPJ1

The completion of the table by rounding the numbers to the nearest 10, 100, 1,000, 10,000, 100,000, and 1,000,000 is as follows:

Rounded to      Numbers

the nearest       3,147,283     68,547        1,656,908         900,571​

10                      3,147,280     68,550         1,656,910        900,570

100                   3,147,300     68,500        1,656,900        900,600

1,000               3,147,000     69,000        1,657,000         901,000

10,000            3,150,000     70,000        1,660,000        900,000

100,000         3,100,000    100,000        1,700,000        900,000

1,000,000     3,000,000   0.068547     2,000,000     1,000,000

Rounding a number involves, making it simple and very close to its true value, sometimes, using zeros or scientific notations.

Rounding a number is also known as an approximation, which is an estimate before the actual calculation is carried out.

Rounded to      Numbers

the nearest       3,147,283     68,547       1,656,908        900,571​

10                      3,147,280     68,550        1,656,910        900,570

100                   3,147,300     68,500       1,656,900        900,600

1,000               3,147,000     69,000       1,657,000         901,000

10,000            3,150,000     70,000       1,660,000        900,000

100,000         3,100,000    100,000       1,700,000        900,000

1,000,000     3,000,000   0.068547    2,000,000      1,000,000

Learn more about rounding numbers at https://brainly.com/question/28707100

#SPJ1

Answer:5 higher and 1 horizontal

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

L*W= Area

7*6=42

Hope this helps! :)

Answer:

-1/3

Step-by-step explanation: