John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increase in the fee, the average number of students reduces by 1.

Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.

Answers

Answer 1

Answer: c(x)=-2 x2 + 16x + 168

Step-by-step explanation: I hope this helps if im wrong im srry!

Answer 2

Answer:

[tex]c(x) = - 1(x - 7.5)^{2} + 222.25[/tex]

I apologize if this is the wrong format. It's also extremely complicated to explain.


Related Questions

4. If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?

Answers

6 please mark brainliest
They would get 6. Hope this helps.

Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now? *

Answers

Answer:

$  263.42

Step-by-step explanation:

-275.78 + 539.20 = 263.42

The new balance in Mr. smith account will be $263.42.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account.

Assume that the new amount in his account will be [x]. Then -

[x] = 539.20 - 275.78

[x] = 263.42

Therefore, the new balance in Mr. smith account will be $263.42.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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a)
Isaac is purchasing two pairs of shoes-one pair for $37.00 and the second
pair for $42.00. The state sales tax applied to Isaac's bill is 7%. How much is Isaac's
total bill? Show your work. (2 points)
The answer is 84.53

Answers

Add both pair of shoes together. Then take that total and multiply by7% or.07

A triangle has a base of 16 inches and a height of 1/8 inches. What is the area?

Answers

Area of triangle = 1/2 x base x height.

Area = 1/2 x 16 x 1/8

Area = 8 x 1/8

Area = 1 square inch

The area of the triangle calculated using the area formula is 1 in²

Given the Parameters :

Base of triangle = 16 inches

Height of triangle = 1/8 inches

Area of a triangle can be obtained using the relation :

Area = 1/2 × base × height

Substituting the Parameters into the equation :

Area of triangle = 1/2 × 16 × 1/8 = 1 in²

Therefore, the area of the triangle is 1 in²

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PLEASE HELP!!
complete the square to find the minimum value of the equation x^2+16x-36=0.
x=

Answers

X=2,-18. You move all the terms to the left side and set equal to zero. Then set each factor equal to zero.

help me please i need help

Answers

Um question there is no question so I cannot answer,,,

Answer:

i'll help you

Step-by-step explanation:

122212i3jewfc ndskja cyas queen

A plumber visits your home to fix a leak. He charges a flat rate of $35 and $12 per hour. If the total bill was $83, how many hours did he work?

Answers

First, You have to subtract 35 from 83 because the 35 is the charge for the job. Next, You get a answer of 48. This you have to divide.
When you divide 48 by 12 you get an answer of 4.
Therefore the plumber worked for a total of 4 hours

Give an example of a fraction that results in a repeating decimal. Explain how to round the decimal number to the the nearest thousandth.

Answers

1/3 results to the repeating decimal 0.3333333333...

u would round it to 0.333 because there are no numbers higher than 5 it would stay at 3

What does E=MC2 mean? Thanks.

Answers

Answer:    Energy equals mass times the speed of light squared.

Plz mark branliest:)



Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He needs to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations?

A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.

The absolute value equation that models this situation is |x –
|=

.

The two additional water stations will be
and

miles from the starting line.

Answers

Answer:

Step-by-step explanation:

The two additional water stations will be 6.5 miles  and 9.5  miles away from the starting line.

Given Nicolas is setting up 3 water stations for a 10-mile run.

He already has the first one set up 8 miles from the starting line. He wants to set up two more that are 1.5 miles on both side of the first water station.

We have to calculate the distance of 2 other water station from starting point.

Now A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.

The absolute value equation that models this situation is |x –8 |=1.5

The two additional water stations will be (8-1.5) miles or 6.5 miles and other will be (8+1.5) or 9.5 miles away from the starting line.

The two additional water stations will be 6.5 miles  and 9.5  miles away from the starting line.

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Theo buys 116 shares of Raxin Accounting at $15.66 per share and 165 shares of Sanden Research Labs at $8.57 per share. If
Theo's broker charges a commission of $11.50 per ten shares bought or sold, how much does Theo pay in commission?
$1,816.56
b. $323.15
C. $3,553.76
d. $1,414.05

Answers

Answer:

the answer is letter B. $323.15

Step-by-step explanation:

Answer:

B: 323.15

Step-by-step explanation:

[tex](\frac{116+165}{10} )*11.50[/tex]

Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?

Answers

Answer:

18

Step-by-step explanation:

Multiply 12 and 2 by 3 to get the "easier to work with" fraction

[tex]\frac{12}{1}[/tex] = [tex]\frac{36}{3}[/tex]

Now, multiply two until you get 36

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36

It takes 18 times to get to 36.

That means the answer is 18.

Choose the correct sign that compares the decimal numbers. 0.737__0.708​

Answers

Answer:

>

Step-by-step explanation:

0.737 is greater than 0.708

Answer:

>

Step-by-step explanation:

0.737 is greater than 0.708

> = greater than

Find the sum of following polynomials
a) 2p3 + q3 - 14pq - 2q and -p3 - 10q3 + 9p2q + 2pq - 12p + 12q - 18
b) 9x2y - 3xy2 - 8x + 14y - 16 and 12x3 + 4y3 - 12x2y - 4xy + 9

Answers

The answer fam is......... A) p^3−9q^3−12pq+9p^2q−12p+10q−18

B) 12x^3−3x^2y−3xy^2+4y^3−4xy−8x+14y−7

Answer:

[tex]\boxed{\bold{\sf{ a. ~p^{3} - 9q^{3} + 9p^{2}q - 12pq + 10q - 12p - 18 }}}[/tex]

[tex]\bold{\boxed{\sf{b.~12x^{3} + 4y^{3}-3x^{2} y - 3xy^{2} - 4xy - 8x + 14y - 7 }}}[/tex]

Step by step explanation

See attached picture.

For the addition and subtraction of algebraic expressions,like terms are added or subtracted as per the signs given and unlike terms are kept as they are. The sum or difference of like terms give another like term in which it's coefficient is sum or difference of their coefficient.Remember the following facts of addition and subtraction :

Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted. In horizontal method , expressions are arranged in same row and put sign for addition or sign for subtraction and remove the bracket and then simplify.

Hope I helped!

Best regards!

~TheAnimeGirl

Need Answer ASAP! 30 POINTS !

A recipe for a casserole calls for 1 cup of milk. If a chef currently has 0.5 gallons of milk, how many casseroles can the chef make?

Answers

Answer:

5

Step-by-step explanation:

twice a number increased by five

Answers

Whats the number , just multiply by 2 and add 5

What is the answer to

0.04 is 1/10 of _____

Answers

Answer:

.4

Step-by-step explanation:

Answer:

.0003, .04, .02, 2 4

Step-by-step explanation:

hope it helps

Use the Distributive Property to evaluate: 3(21 + 6)

Answers

Answer:

81

Step-by-step explanation:

3(21 + 6)

(3 x 21) + (3 x 6)

63 + 18

81

Answer:

3*21+3*6     =   81

Step-by-step explanation:

3(21+6) is basically 3 times 21 plus 3 times 6. You are distributing the 3 to the 21, and then also to the 6. Once you distribute the 3, you get 3*21+3*6.  First, multiply 3 by 21 to get 63. Then, multiply 3 by 6 to get 18. Follow the equation and add them together to get your answer of 81.

You could also do it a different way and instead of doing 3*21+3*6, you could do the original equation, and do 3(21+6).  21+6=27    You then have 3(27).      3 times 27 is 81. You get the same answer, you could just do it a different way.

Pls answer :(

I’ll appreciate!

Answers

Answer:

The answer would be 2.1 so it must be D

Step-by-step explanation: divide them

On the following graph, type the solution that has a multiplicity of (2) or a double root. If there is no double
root, type in 1000

Answers

Answer:

3

Step-by-step explanation:

which function represents the graph below?

Answers

Y=1/2x+1

The answer is

The center of a circle lies on the line y=6x+2 and is tangent to the X axis at (-2,0) what is the equation of the circle in standard form?

Answers

Answer:

(x+2)^2 + (y+10)^2 = 100

Step-by-step explanation:

y = 6x + 2

Z(-2,0)

x = -2

y = 6 x (-2) + 2

y = -12 + 2

y = -10

M(-2, -10)

r = 0 - (-10) = 10

(x + 2)^2 + (y + 10)^2 = 100

Answer:

(x + 2)^2 + (y + 10)^2 = 100

Step-by-step explanation:

+2.....+10..100

exactly that

If l is parallel to m, find the value of each missing variable.

Answers

Answer:

x = 26; l = 137; m = 137

Step-by-step explanation:

If the lines are parallel, that means the measurements are too. As such, equal the two expressions together

5x + 7 = 8x - 71

add 71 to both sides

5x + 7 + 71 = 8x - 71 + 71

-71 and +71 cancel each other out

5x + 78 = 8x

subtract 5x from both sides

5x - 5x + 78 = 8x - 5x

5x - 5x cancels each other out

78 = 3x

divide both sides by 3

3x ÷ 3 = 1x which can also be written as just x

78 ÷ 3 = x

26 = x

plug in this x value into both expressions to find variables l and m

l:

5(26) + 7

130 + 7

137

m:

8(26) - 71

208 - 71

137

4. If S is in the interior of ZPQR , then mZPQS + m_SQR = m_PQR.
a. Protractor Postulate
b. collinear
c. angle bisector
d. angle
e. Angle Addition Postulate

Answers

E because it make sense

Question 1 of 10 The slope of the line below is - Write a point-slope equation of the line using the coordinates of the labeled point.​

Answers

Y1=m(x-x1) I have a similar thing and the option is b plz mark brainiest

What is the value of x

Answers

Answer:

A,   38

Step-by-step explanation:

the 180 - 114 = 66, so the vertical angle is 66, x = 38, 38 x 2 = 76 + 38 + 66 = 180

The Martinez family is traveling to a play in Richmond. A round trip train ticket costs $8.00. Children under the age of 7 travel for half price. ($4.00) Tickets for the play are $14.00 for an adult and $6.00 for a child. Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas. Ricky and Ramona are 12 years old. Thomas is 6 years old. How much did the Martinez family spend for the train ride and play tickets?

Answers

Answer: The Martinex family spent $ 82 for train ride and play tickets.

Step-by-step explanation:

Round trip train cost = $ 8.00

For children it cost $ 4.00.

For adult, ticket for play costs= $ 14.00

For children , ticket for play costs= $ 6.00

Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas.

2 adults and 3 children ( only one of them is under 7.)

For train we consider only 1 as child rest as adult.

Train cost =  4 x($ 8.00)+ 1 x ($ 4.00)

= $ 32+4 = $36

For play , total cost = 2 x ( $ 14.00) + 3 x ($6)

= $(28+18)

= $ 46

Total spending ( combined) =  $36+$ 46

= $82

So, the Martinex family spent $ 82 for train ride and play tickets.

what table shows the relationship between the gallons of cleaning solution made of cups bleach used

Answers

Answer:

not applicable

Step-by-step explanation:

You need to add file

POSSIBLE PO In a bag there are 10 red marbles, 5 green marbles, and 5 blue marbles. Wh at is the ratio IN FRACTION FORM of RED marbles to the total?​

Answers

Answer:

10/20 = 1/2

There are a total of 20 marbles, and ten of those are red = 10/20

Which, is half of the total.


Andrea jumped 5 times every 45 minutes. At that rate, how many
would she jump in 54 minutes?
bo optional

Answers

Answer:

6 times

Step-by-step explanation:

If Andrea jumps 5 times every 45 minutes, she will jump 1 time every 9 minutes. 54 divided by 9=6 times. Hope it helps!

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