The drama club is selling tickets for a play. The profit, y, is
modeled by the equation, y = x2 – 40x – 3,200, where x is
the number of tickets sold. What is the total number of
tickets, x, that need to be sold for the drama club to break
even (profit = $0)?

Answers

Answer 1

Answer:

80 tickets

Step-by-step explanation:

Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of  tickets, x, that need to be sold for the drama club to break  even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;

y = x^2 – 40x – 3,200,

0 = x^2 – 40x – 3,200,

x^2 – 40x – 3,200 = 0

x^2 – 80x  + 40x – 3,200 = 0

x(x-80)+40(x-80) = 0

(x+40)(x-80) = 0

x = -40 and x = 80

x cannot be negative

Hence the total number of  tickets, x, that need to be sold for the drama club to break  even is 80 tickets


Related Questions

Simplify 8x + 9d + 3x -5d
Please Do Show Your Work Explanation

Answers

Answer:

The answer is =4d+11x

Step-by-step explanation:

8x + 9d + 3x -5d

=9d-5d+8x+3x

=4d+11x

Answer:

putting in arranged and sum the like terms

8x+3x+9d-5d

11x+4d

Determine wether the relation is a function (4,0),(2,0),(1,2),(2,4),(4,4),(5,2)

Answers

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

A local restaurant only sells burgers and cokes. 3 burgers and 5 comes cost $17, while 6 burgers and 9 cokes cost $33. What’s the price of a burger?

Answers

Answer:

The price of a burger is $4 and that of cone is $1.

Step-by-step explanation:

Let the cost of burger is x and that of cone is y.

ATQ,

3x+5y = 17 ....(1)

And

6x + 9y = 33 ...(2)

Multiply equation (1) by 2.

6x + 10 y = 34 ...(3)

Subtract equation (2) from (3)

6x + 10 y-(6x + 9y) = 34 - 33

6x + 10 y-6x- 9y = 1

y = 1

Put the value of y in equation (1)

3x+5 = 17

3x = 12

x = 4

So, the price of a burger is $4 and that of the cone is $1.

Acellus help slope intercept

Answers

Greetings.

The answer is y = 2x + 7.

Explanation:

If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)

We can also find the slope by calculating m-value.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]   ---> Rise Over Run

But how are we gonna calculate if we don't have any two given ordered pairs?

The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.

The graph passes through (-3,1) and (-2,3).

Then we can calculate the slope by using rise/run.

[tex]m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2[/tex]

Thus, the slope is m = 2.

However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.

From Linear Function - [tex]y=mx+b[/tex]

Where m = slope and b = y-intercept.

Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.

Which is (0,7), the y-intercept.

Then we substitute b = 7 as y-intercept.

Thus the answer is [tex]y=2x+7[/tex]

George invited 65 students in his school to volunteer at a charity race. 39 of the students signed up to volunteer. What percent of the invited students signed up?

Answers

Answer:

60%

Step-by-step explanation:

39/65 gives you the answer.

Giving everything. Plzzz help.

Answers

Pretty sure it’s A sorry if that’s wrong

Answer:

a is the answer..........

Which number is bigger: 1.58 or 1.025

Answers

Answer:

1.58 is bigger than 1.025

Step-by-step explanation:

Answer:

1.58 is greater

Step-by-step explanation:

because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0

please no fake answers ,I need help:)

Answers

Answer:

A. 2.10b + 12.99 = 21.39; 4 bottles

Step-by-step explanation:

The b represents bottles of water, at the end of the equation. If each bottle is $2.10, and there were 4 bottles brought, $2.10 * 4 = $8.40, and $8.40 + $12.99 is $21.39.

A: because 21.39 minus 12.99 equals 8.4 which is 8 dollars and 40 cents. And 8.4 divided by 2.10 is 4. HOPE THIS HELPS!

Write an expression to represent a number plus 4.

Answers

Answer:

n + 4

Step-by-step explanation:

n represent the number we are adding to 4 obviously

And 4 is 4 obviously

Hope this helps!

t-4 . that's so easy !

Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?

Answers

Answer:

20 quarts

Step-by-step explanation:

Five gallons is equal to 20 quarts.

I hope it helps.

Answer:

20 quarts

Step-by-step explanation:

in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)

It takes Andre 4 minutes to swim 5 laps. a.How many laps per minute is that?

Answers

Answer:

1.25 laps per minute

Step-by-step explanation:

1.25 laps per minute

Whoever answers gets brainlist!

Answers

Answer:

21 over 6 (21/6)

26 over 6 (26/6) =47 over 6 (47/6)

your final answer is 7 5/6

Step-by-step explanation:

Step-by-step explanation:

[tex]3 \frac{3}{6} + 4 \frac{2}{6} [/tex]

Which simplifies to:

[tex] \frac{21}{6} + \frac{30}{6} [/tex]

When added is:

[tex] \frac{51}{6} [/tex]

When transformed back into a Mixed Fraction:

[tex]8 \frac{3}{6} [/tex]

Please give me the correct answer ​

Answers

Answer:

i dont think so.

Step-by-step explanation:

find slope please help

Answers

Answer:

slope = -5/2

Step-by-step explanation:

rise/run

down 5

right 2

Find the value of the power 6 to the -4th

Answers

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Pls help 2 and 3!!!!!!!!!

Answers

Answer:

2)

d. -1 1/2

3)

c. 21 1/2

Step-by-step explanation:

what do i do cause this is wrong and it is also wrong switched around!!!! pls help meh i will give brainleist

Answers

Answer: It seems like you're correct, maybe try switching the numbers around if you haven't done so.

When it's say "find the product _ and _, you'll basically be writing a multiplication expression as your answer.

Solve for 10+5X<=20 please help me

Answers

Answer:

The answer is x=2. I hope that this helps.

Step-by-step explanation:

Answer:

If you're solving for x it should be x <= 2

Step-by-step explanation:

10 + 5x <= 20 -- isolate variable (subtract 10 from both sides)

-10            -10

5x <= 10          -- single out the x (divide both sides by 5)

/5       /5

x <= 2

Hope this helps :)

1. The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?


2. At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise

Please need right now

Answers

Answer:

1. The new temperature would be 13°C (-2+15)

2. The temperature rose 15°C (9-(-6))

what is an example of a dealer incentives​

Answers

Answer:

a dealership may offer a cheaper price to a customer for a vehicle so it can meet a sales target and earn an incentive.

Step-by-step explanation:

 

what is 9 percent of 30948

Answers

Answer:

2785,32

Step-By-Step:

30948*0.09

Answer:

2785.32

Step-by-step explanation:

solution,

9 % of 30948

= 9/100×30948

= 278532/100

= 2785.32

9%of 30948 is 2785.32

Your friend says that there are 36 feet in 12 yards. Is your friend correct? Explain your reasoning?

Answers

Answer:

Your friend is correct.

Step-by-step explanation:

3 feet - 1 yard

36 / 12 = 3

whats 2+2 lollololololololololololololololololololo

Answers

Answer:

4ssssssssssssssssssssssssssss

hellllppp please help me

Answers

Answer:

[tex]F' = (-3,-3)[/tex]

[tex]G' = (-3,3)[/tex]

[tex]H' = (6,-3)[/tex]

Step-by-step explanation:

Given

The attached graph

[tex]Scale\ Factor = 1\frac{1}{2}[/tex]

Required

Determine the coordinates of F'G'H'

First, we need to get the coordinate of F, G and H from the graph

[tex]F = (-2,-2)[/tex]

[tex]G = (-2,2)[/tex]

[tex]H = (4,-2)[/tex]

The dilated coordinate is then calculated as:

[tex](FGH)' = (FGH) * Scale\ Factor[/tex]

This gives:

[tex]F' = (-2,-2) * 1\frac{1}{2}[/tex]

[tex]F' = (-2* 1\frac{1}{2},-2* 1\frac{1}{2})[/tex]

[tex]F' = (-3,-3)[/tex]

[tex]G' = (-2,2) * 1\frac{1}{2}[/tex]

[tex]G' = (-2 * 1\frac{1}{2},2 * 1\frac{1}{2})[/tex]

[tex]G' = (-3,3)[/tex]

[tex]H' = (4,-2) * 1\frac{1}{2}[/tex]

[tex]H' = (4 * 1\frac{1}{2},-2 * 1\frac{1}{2})[/tex]

[tex]H' = (6,-3)[/tex]

4/ PLEASE HELP ME ON THIS. ASAP

Answers

Answer: a,b,d,e are all right beacuse they all relate to the question

Step-by-step explanation:

c how ever is no shown on the graph and is therefor wrong

11. A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallons of water.
a) Assuming that the volume of water in the tank, V, is a linear function of time, t, in hours,
find a formula for V ( linear function)

b) BY what percent did the volume of water increase from t=0 to t= 1?

Answers

Answer:

V = 30t + 15020%

Step-by-step explanation:

Given

Initial volume = 150 galVolume after 1 hour = 180 gal

a) The volume formula will be:

V = 30t + 150

As 150 is y-intersect (volume at zero time) and the rate of change (the slope) is 30 gal per hour

b) Increase of volume by percent:

30 gal increase on top of 150 gal

30/150*100% = 20%

Answer:

20%

Step-by-step explanation:

The volume formula is V = 30t + 150 → where 150 is y-intersect and the slope is 30 gals per hour

So you can do:

30 gals of increase on top of the 150 gals to get:

30/150×100%  which equals 20%

:)

please answer fast :(((

Answers

Answer:

KP = 6

Step-by-step explanation:

From the information given, K is the centroid.

Therefore, based in the centroid theorem:

KP = ⅓(AP)

AP = 18

Plug in the value of AP into the equation

KP = ⅓(18)

KP = 6

14) The value of y varies directly with x, and y = 3.6 when x = 6. Find y when x= 48.
Please and thank you. I needed now. Please help

Answers

Answer: y = 28.8

Step-by-step explanation:

By using ratios

if the values vary with each other, then they will increase the same amount. 6x8 is 48. So 3.6 x 8 is your answer, 28.8

i need help with this question please

Answers

Answer: it C

Step-by-step explanation: if it not incorrect sorry for the wrong answer

PLZZZ HELP GIVING BRAINLIST Match each expression to its value.

1. 7 - 5
-2
2. -7 + 5
2
3. -7 - 5
12
4. 7 - (-5)
-12

Answers

Answer:

1. 0

2. 5  

3. 0.416666667

4.0

1. 2
2. -2
3. -12
4. 12
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