The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses.

Answers

Answer 1

Answer:

79 people can only be in this so we have 53 kids so 53 * 4 = 212

Step-by-step explanation:

However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.

To fine how much money they earn you will just have to add them up so

$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.

Answer 2

Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.

Given,

The drama club is selling tickets to their play to raise money for the show's

expenses.

Each student ticket sells for $4 and each adult ticket sells for $8.50.

The auditorium can hold at most 79 people.

The drama club must make no less than $460 from ticket sales to cover

the show's costs.

If 53 student tickets were sold, determine the minimum number of adult

tickets that the drama club must sell in order to meet the show's expenses.

How to find the number of items from a total cost where each item cost is the same?

We will divide the total cost by the cost of each item.

Example:

Cost of each item = $3

Total cost = $9

Number of items = $9 / $3 = 2

We have,

Student ticket:

Cost of each ticket = $4

Number of tickets sold = 53

Total sell from student tickets sold = 53 x $4 = $212

Adult ticket:

Cost of each ticket = $8.50

Number of adult tickets sold = M

Total sell of adult tickets sold = M x $8.50

Total number of people the auditorium can hold = 79

Minimum amount to make from ticket sales = $460

The remaining amount that needs to sale from adult tickets:

= $460 - $212

= $248

The number of adult tickets sold:

M = $248 / $8.50 = 29

Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.

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Related Questions

Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?

Answers

I don’t know the 8 percent of what you do

all sides of quadrilateral ABCD are tangent to circle p. What is the perimeter of the quadrilateral below?​

Answers

Answer:

The perimeter of the quadrilateral is that to add all the sides and multiply it by 2 to get the quadrilateral which will be 65.4.

Step-by-step explanation:

Answer:

it equals 41.2 units

Write the equation of a line that passes through the point (6,-3) and has a slope of -2

A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2

Answers

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.


x + 2y = 13
-x + y = 5

Answers

Answer:

x = 1; y = 6

Step-by-step explanation:

x + 2y = 13

-x + y = 5

Add the equations to eliminate x.

3y = 18

Divide both sides by 3.

y = 6

Now substitute y with 6 in the first equation.

x + 2(6) = 13

x + 12 = 13

Subtract 12 from both sides.

x = 1

Answer: x = 1; y = 6

plzzzz do the right awnsers i failed the other on e plzz no du meys plzz i beg

Answers

Answer:

D. Vertex: (3, -1); zeros: (2,0), (4,0), y-intercept: (0,8)

Step-by-step explanation:

I used the desmos graphing calculator. Just plug in your equation and it should be pretty easy to find these points

Answer:

Vertex is (3,-1)  zeros ( 4,0) (2,0) and y intercept (0,8)

Step-by-step explanation:

y = x^2 - 6x+8

Factor

y = (x-4) (x-2)

Set = 0 to find the zeros

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

Using the zero product property

x-4 = 0    x-2 =0

x=4   x=2

The vertex is 1/2 way between the zeros

(4+2)/2 = 6/2 = 3

y = (3-4) (3-2)

  -1 (1)

y = -1

Vertex is (3,-1)

The y intercept is at x=0

y = 0-0+8

y =8

What times 55 would equal 200

Answers

Answer:

The answer is 3, it's the only answer closest to 200

Step-by-step explanation:

The answer would be 3.6363 because it is the closest to 200

Your friend says the solution to 7 x plus 17 x minus 6 equals 6 left parenthesis 4 x plus 6 right parenthesis is xequals42. Solve 7 x plus 17 x minus 6 equals 6 left parenthesis 4 x plus 6 right parenthesis. What was your​ friend's likely​ error?

Answers

Step-by-step explanation:

The question is not properly formatted, here is a better format

the expression

[tex]7x+17x-6= (4x+6)[/tex]

[tex]x=42[/tex]

To verify weather the above is correct we need to solve it our-self

[tex]7x+17x-6= (4x+6)[/tex]

Opening up the bracket in the left hand side we have

[tex]7x+17x-6= 4x+6[/tex]

Collecting like terms we have

[tex]7x+17x-4x= 6+6[/tex]

[tex]24x-4x= 12\\20x= 12[/tex]

Divide both side by 20 we have

[tex]x= \frac{12}{20} = \frac{6}{5} \\[/tex]

convert 0.528 to a percent

Answers

Answer:

52.8%

Step-by-step explanation:

To convert a decimal to a percent, you simply need to multiply the decimal by 100. This is because a percent is a fraction of 100. Therefore, since 0.528*100=52.8, the answer is 52.8%. Hope this helps!

Percentage form of number 0.528 is,

⇒ 52.8%

We have to given that;

To convert 0.528 into a percent.

Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Hence, We can change into a percent as,

⇒ 0.528

⇒ 0.528 x 100%

⇒ 52.8%

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?????????????????????????????????????????????????????????????

Answers

Answer:

u = 11

Step-by-step explanation:

6(u+5)=96

Divide both sides by 6

u+5=16

Subtract 5 from both sides

u=11

The variable, u, is equivalent to 11

Answer:

u=11

Step-by-step explanation:

If you multiply  the parentheses by the outside number (6) it will bring you

6u+30=96 then take away 30 from each side to get

6u=66 last step is to divide by six

u=11

What is the equation of the line that passes through the points (1, –1) and (3, –7)

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

[2x + 3y = 1][5x - 4y = 14]

Answers

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

1. Remember, evaluate means to plug in the value for the specified
variable.
w
Evaluate: (x - 3)2 + 2x - 4 for x = 5

Answers

Answer:

Value: 10

Step-by-step explanation:

1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4

2. Substitute this value of x into the expression as such:

2(5 - 3) + 2(5) - 4

3. Now we can approach this first part of the problem in two ways:

Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)

Option 2. subtract 3 from 5, then multiply 2 by that value

4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4

5. Now apply algebra and solve this expression:

2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10

what is the volume of a hemisphere with a radius of 6?

Answers

V

=

4

3

π

r

3

=

4

3

·

π

·

6

3

904.77863

Expand. Your answer should be a polynomial in standard form. (x-4)(x-6)

Answers

Answer:

x2+10x+24

Step-by-step explanation:

The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]

To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:

(x - 4)(x - 6)

Step 1: Multiply x from the first parentheses by both terms in the second parentheses:

[tex]x * x = x^2\\x * -6 = -6x[/tex]

Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:

-4 * x = -4x

-4 * -6 = 24

Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]

Combine like terms: [tex]x^2 - 10x + 24[/tex]

So, the expanded expression in standard form is:

[tex]x^2 - 10x + 24[/tex]

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majorie bought a bed with a sticker price of 1800. if she paid $25 a week for two years, what was the approximate markup on the bed

Answers

Answer:

44.4% according to A P E X

Step-by-step explanation:

A P E X

The day after the British burned most of the government building in Washington, DC, something shocking happened: (A) President Madison surrendered, (B) the Americans counterattacked and retook the city, (C) a strong hurricane hit the city.

Answers

Answer:

C.

Step-by-step explanation:

What is the medical term for infection of the gallbladder?

Answers

Answer:Cholecystitis

Step-by-step explanation:

Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b

Answers

Answer:

2(2x+19) would be your answer

How many solutions does this equation have?

0 = 2z − 2z

Answers

Answer:

infinitly many solutions

Step-by-step explanation:

0=2z-2z

2z-2z=0

so 0=0

infinitly many

Now move points C, D, and E on the circle, and note the interior angle measurements for the quadrilateral in the table below. Notice that m∠B is predetermined, so set that angle measure first.

Answers

Answer:

Explanation:

Plato

you are packing clothes for vacation and don’t want to take any button down shirts. You randomly choose three shirts from a jar containing three T-shirts, three polo shirts, and four button downs.

a) what is the probability that the first three shirts are button downs when you replace each shirt before choosing the next one?
b) what is the probability that the first three shirts are button downs when you do not replace each shirt before choosing the next one?

Answers

a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.

b) If we replace it, then we can do it in a strategic way:

The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.

The second time: 3/9=1/3

Now there are 2 and 8

Third time: 2/8=1/4.

The final probability is 2/5*1/3*1/4=1/30

The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?
A.The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph of g is 9 units to the right of the vertex of the graph of f
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
D. The graph of g is a reflection of the graph of f across the y-axis.

Answers

Answer:

C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Step-by-step explanation:

It's a given that f(x) = x^2 so that means g(x) = f(x) - 9 means g(x) = x^2 - 9

in slope intercept form y = mx + b, b is the y-intercept

since g(x) is just f(x) with the y-intercept as -9 we know that the vertex of the parabola moves downwards 9 units

---

Hope this helps! :) If so, please mark my answer as brainliest

Function g(x) is the translation of function f(x). The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f(x). The correct statement is C.

Given,

[tex]f(x)=x^{2}[/tex].

[tex]g(x) = f(x) - 9.[/tex]

From the above functions it is clear that the equation for the graph of g(x) will be,

[tex]g(x)=x^{2} -9[/tex].

What is intercept?

The equation [tex]y=mx+c[/tex] is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

Since The y intercept of function f(x) is zero.

Hence in the function g(x), it is 9 units below the intercept of the function f(x). Thus the correct option is C.

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True or false
The solution to the inequality 5x+2<175x+2<17 is x<3x<3.

Answers

Answer:

I believe it is true. So sorry if it's not.

A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER. True or false

Answers

Answer:

yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h

Simplify (2a^3 a^4)^5. Show all work.

Answers

Step-by-step explanation:

I hope it's correct.. And hopefully you understand those steps and also my horrible writing

Charlie has 8 flowers. 3 of them are yellow and the rest are pink. How many flowers are pink.

Answers

Answer:

5 flowers are pink

Step-by-step explanation:

Answer:

There are 5 pink flowers.

Step-by-step explanation:

8 flowers - 3 flowers = 5 flowers

hope this helps :)

Write down all the factors of 15.

Answers

Answer:

1,3,5,15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factors of 15:

1 , 3 , 5 , 15

log x + Log(x+5) = log 6

Answers

Answer:

logx+log(x +1)= log6

Step-by-step explanation:

Please find attached photograph for your answer.

HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

Solve this Inequality, show work if you can, Thanks!!

Answers

Answer:

28 is less than or equal to x

Step-by-step explanation:

20 is less than or equal to x - 8

20 + 8 is less than or equal to x - 8 + 8

You add to cancel out the 8 to isolate x.

28 is less than or equal to x

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