The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds people. By selling​ tickets, the members would like to raise ​$ every night to cover all expenses. Let d represent the number of adult tickets sold at ​$. Let s represent the number of student tickets sold at ​$ each. If all seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$​? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that​ performance, how much below the goal of ​$ did ticket sales​ fall?

Answers

Answer 1

Answer:

a) At $3,300 for 600 seats, the average price per seat is 3300/600 = $5.50. The mix of tickets that results in that average can be found using an X diagram as shown below. The numbers on the right are the differences along the diagonals. When they are multiplied by 2, they add to 600. This shows that the required sales for revenue of $3,300 are

 200 adult tickets

 400 student tickets

b) When 3 student tickets are sold for each adult ticket, the average seat price is

 (3*$4.50 +7.50)/4 = $5.25

Then the shortfall in revenue is ...

 $3,300 -480*$5.25 = $780


Related Questions

calculate the volume of a liquid with a density of 5.45g/km and a mass of 65g ​

Answers

Answer:

11.93 ml

rounded to two significant figures: 12ml

Step-by-step explanation:

65/5.45=11.93 ml

Please mark me as brainliest

How many negative real zeros does f(x) = x^5 - 2x^4 - 4x^3 + 4x2 – 5x + 6 have?

A. 3
B. 2
C. 1
D. 0

Answers

the answer is d. hope this helped

Find the value of the ratio x ÷ y if the equation is 5x²-13xy+8y²​

Answers

Answer:

x÷y=8/5 or 1÷1

Step-by-step explanation:

Please mark as brainliest

Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3/10 of it while painting a clover. She decides that, for her next painting, she will need 14 pints of green paint. How much more paint will she need to buy?

Answers

Answer:

She would need one more pint.

Step-by-step explanation:

Which statement best describes g(x) = 3 x + 6 - 8 and the parent function f(x) = 3x ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.
The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

Answers

Answer:

The answer is C: the ranges of g(x) and f(x) are the same, and their domains are also the same.

Step-by-step explanation:

Just took the test on edge!! :)

Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

What is domain?

List of values of x an equation can satisfy is called Domain.

What is range?

List of values y the function can generate is called range

For example, f(x)=x

it can satisfy real domain i.e. x∈R

and range is R

g(x) = 3 x + 6 - 8 and f(x) = 3x

Domain for both the function is R

Both the function can satisfy all the real numbers, so its range is also R.

Therefore,Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

Learn more about domain and range,

https://brainly.com/question/2264373

#SPJ2

What is the inequality that would represent: The sum of two numbers is
less than 4?*

Answers

Answer:

x+y<4

Step-by-step explanation:

Answer:

x+y<4

Step-by-step explanation:

let the numbers be x and y

x+y<4

x-y>1

A factory worker finds 26 products are defective out of a random sample of 400
products. Based on the results, about how many of the 56,000 products produced this
month can be expected to be defective?

Answers

Answer: 36,400

Step-by-step explanation:

Answer:

Step-by-step explanation:

36,400

Pls help no links pls pls pls

Answers

Answer:

x=20

it told me the answer is too short but that answer is right

What is the perimeter and area of the composite figure?

Answers

Step-by-step explanation:

▪AB = AC - EF

= 13 cm - 7 cm

= 6 cm

▪BD = CF - DE

= 16 - 8 cm

= 8 cm

BC = EF

perimeter = CF + EF + DE + AD + AB + BC

= 16 + 7 + 8 + 10 + 6 + 7

= 54 cm

Area of triangles = 1/2 × AB × BD

= 1/2 × 6 × 8

= 48/2

= 24 cm²

Area of rectangle = CF × EF

= 16 × 7

= 112 cm²

the total area = 24 + 112

= 136 cm²

#CMIIW

Is 12+5(2+y) and 5y+22 equivalent

Answers

Answer:

22 + 5y

Step-by-step explanation:

Yes they are

5 x 2 = 10 + 5 x y = 5y, 10 + 12 = 22, therefore you get 22 + 5y.

Lauren wants to gift wrap a box which is in the shape of a cube. The dimensions of the cube is 25 cm. Determine the surface area of the box to knov
how much wrapping paper should be purchased.

Answers

Answer:

3,750cm²

Step-by-step explanation:

Total surface area of a cube is expressed as;

A = 6L²

L is the side length of the cube;

Given

L = 25cm

TSA = 6 (25)²

TSA = 6 * 625

TSA = 3,750cm²

Hence the total surface area of the box is 3,750cm²

find the value of the expression below for x = 10
x'2 - 2(x+5)

A:10
B:70
C:85
D:90

Answers

The first one A.10



I hope is correct.

The table below shows the different sizes of 15 pepperoni pizzas sold at a restaurant so far today.
Based on this table what is the probibilty that the next peperonni pizza prize sold will be 8 or more pieces

Answers

Answer:

2/3

Step-by-step explanation:

20 is 16% of what number?

Answers

It is 80 !!!!!!! That’s the number

Answer:

80-

Step-by-step explanation:

20 percent (calculated percentage %) of what number equals 16? . well ofc as i said- its 80

Solve for x using cross multiplication 3x - 3 5 = 2x – 2 4 x = [?]​

Answers

Answer:

x = -35/22, or 1.5909090...

Step-by-step explanation:

Solving for x will be easy enough, but cross multiplication won't be necessary as that's only applicable when division is involved:

35 = 2x - 24x

35 = -22x

x = -35/22, or 1.5909090...

Help me help me pls!

Answers

Answer:

13.6 units (to 3 significant figures)

Step-by-step explanation:

C ( -4,6) and D (-4,-5)

the formula for distance is : √(x2 - x1)² + (y2-y1)²

in this case x1= -4 , x2= -4 and y1 =6 , y2 = -5

so substitute the values and you will get the answers

jacob has 10p 20 p and 50 p coins one quater of the coins
is 50 p with a total of 3.00 the ratio of 10 p to 20p is 2 : 7 how much money does jacob have

Answers

Answer: 7 20

Step-by-step explanation:

Let x = number of 20p coins

10+50+20x=200        10p + 50p + x(20p) = 200p    (100p=1 pound)

60 + 20x = 200

subtract 60 from each side

20x=140

divide both sides by 20

x=140/20=14/2=7

x=7  James has 7 20p coins

are 12(x-12) and 12x-24 equivalent

also

are 7+3(5d-2) and 13 + 15d equivalent​

Answers

Answer:

1. Yes they are

2. No they are not

hope this helps :)

Step-by-step explanation:

6x+12 in its simplest form?

Answers

Answer:

It is already in simplest form.

Step-by-step explanation:

Answer:

Already in simplest form

Step-by-step explanation:

I mean you could do 6(x+2) but its already in its simplest form.

In the sketch below, two parallel lines are cut by a transversal.

Answers

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°

Of the pets in the pet show, 10/12 are cats. 6/10 of the cats are calico cats. What fraction of the cats are calico cats?

Answers

Answer:

6/10, simplified 3/5

Step-by-step explanation:

kinda tricky, but the fraction is stated right out.

Answer:

3/5

Step-by-step explanation:

True or false?is the point(16,4) included in this function: Y=2x or Y=x2 or y= x+12 or y=x-12

Answers

Answer:

True

Step-by-step explanation:

It is true because the graph of [tex]y=x-12[/tex] passes through the point [tex](16,4)[/tex]

x = 16

y = 4

Substitute

4 = 16 - 12

4 = 4

Therefore, the answer is true.

10 Mrs. Randall bought tickets to the art museum for all the fifth-grade students. Each ticket cost $12, and the total cost of the tickets was $1,152. How many fifth-grade students are there?​

Answers

Answer:

Step-by-step explanation:

12s=1152 (divide each side by 12 to isolate s)

s=96

So there were 96 students.

I had to raise the number to49 pls help

Answers

Ummm what is there to answer it’s black
i’m not sure what you meant because the photo is black, but if you mean like rounded it would round to 50? is that what you meant?

plz, help me with this plz!!!

Answers

Answer:

You need common denominators

Step-by-step explanation:

Because you need to have the same number on the bottom in order to correctly add/ subtract the fractions.

If the triangle below is enlarged by a scale factor of 1.2, what will be the area of the new triangle?

Answers

Answer:

Step-by-step explanation:

A=bh/2

A=(1.2b)(1.2h)/2

A=1.44(bh)/2

A=0.72bh

b=10cm and h=5c

A=0.72(10)(5)

A=36 cm^2

Answer:

36cm sqaured

Step-by-step explanation:

Step-by-step explanation:

A=bh/2

A=(1.2b)(1.2h)/2

A=1.44(bh)/2

A=0.72bh

b=10cm and h=5c

A=0.72(10)(5)

A=36 cm^2

Can someone help me please??

Answers

add all the sides together
10+15+7+8+8+2=50 ft

Answer:

the perimeter is just the distance around the shape so 7+10+15+8+8+2=50

The height of one cylinder is 8 cm, and the radius of its base is 5 cm. The height of a second cylinder is 24 cm, and the radius of its base is 5 cm. How many times the volume of the first cylinder is the volume of the second cylinder?

Answers

Answer:

Step-by-step explanation:

volume₁ = π5²·8 = 200π cm³

volume₂ = π5²·24 = 600π cm³

volume₂ = 3×volume₁

Answer:

It is 3, hopefully you got a good score! :D

Step-by-step explanation:

need help geometry question central angles and arcs !!! PLS HELP

Answers

Answer:

150°

Step-by-step explanation:

35 + 120 + 55 = 210

360 - 210 = 150

Please help! I will give brainliest! Needed ASAP

Answers

Answer:

3. No

4. Yes

5. Yes

Step-by-step explanation:

Ez and good luck

Answer:

3. no

4. yes equation: [tex]y=x+4[/tex]

5. yes equation: [tex]y=-2x+3[/tex]

Step-by-step explanation:

3. you can get it to that y=mx+b because it has x to the power 2

4. you just need to reverse the equation instead of the RHS of the equation 4+x it will be x+4

5. the same as question number 4

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