A theater owner wants to divide a 3300 seat theater into three​ sections, with tickets costing ​$ 60​, ​$70​, and ​$120​, depending on the section. He wants to have twice as many $60 tickets as the sum of the other​ tickets, and he wants to earn ​$ 224,000 from a full house. Find how many seats he should have in each section.

Answers

Answer 1

Answer:

Section A = 2,200 seats

Section B = 800 seats

Section C = 300 seats

Step-by-step explanation:

Three sections

Section A cost = $60

Section B cost = $70

Section C cost = $120

Total seat = 3300

Total earnings = $224,000

He wants to have twice as many $60 tickets as the sum of the other​ tickets

A = 2(B + C)

A + B + C = 3,300

60A + 70B + 120C = 224,000

substitute A = 2(B + C)

2(B + C) + B + C = 3,300

60(2B + 2C) + 70B + 120C = 224,000

2B + 2C + B + C = 3,300

120B + 120C + 70B + 120C = 224,000

3B + 3C = 3,300 (1)

190B + 240C = 224,000 (2)

Multiply (1) by 80

240B + 240C = 264,000 (3)

190B + 240C = 224,000 (2)

Subtract the equations

240B - 190B = 264,000 - 224,000

50B = 40,000

B = 40,000 / 50

= 800

B = 800

Substitute the value of B into (1)

3B + 3C = 3,300 (1)

3(800) + 3C = 3,300

2,400 + 3C = 3,300

3C = 3,300 - 2,400

3C = 900

C = 900 / 3

= 300

C = 300

Substitute values of B and C into

A + B + C = 3,300

A + 800 + 300 = 3,300

A + 1,100 = 3,300

A = 3,300 - 1,100

= 2,200

A = 2,200

Section A = 2,200 seats

Section B = 800 seats

Section C = 300 seats


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Answer:

Step-by-step explanation: (-4,-10)

A city starts with a population of 200,000 people in
2005. The population has been declining according to
the equation
P(t) = 200,000e-.08
where P is the population t years later. Approximately
when will the population be half the initial amount?

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Answer:

200,000 and 2005 which cant theoretically be done be P(t) which would increase in the population which would most likely be from 2005 to 2020. so you cannot do this because imagine it as X=(Y)x the mass of population which would be defined as (P) which will also be represented as a probable and physical change in the number. but not only the number, but the population. being have of the initial amount which you will take the variable (P) and have the exact amount which would be the population. Which would theoretically recon as a positive ID of the population.-Cj

Step-by-step explanation:

Can all one-variable inequalities be simplified to a two-step inequality?

Answers

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Ted's Bikes rents bikes for $15 plus $3 per
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Answers

Answer:

Let he rent bike for x hours

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Step-by-step explanation:

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2 3/4 and 11/4

Step-by-step explanation:

A rectangle is drawn on a coordinate grid. The equation for one side of the rectangle is 2x – 5y = 9. Which could be the equation of another side of the rectangle?
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Answers

Answer:

D

Step-by-step explanation:

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Answers

Answer: Mikes home street address number = 52233

Step-by-step explanation:

We need to make a 5 digit number such that

Two digits have values of 50,000 and 200 .

The digits in the ones place is 3 .

Now number is like 50,000 +x + 200 + y + 3  (ten thousand >  thousand > Hundred > tens > ones )

Need values for :  thousands place and tens place

The value of each of the other digits is ten times the value of the digits on its right .

thousands place value (x)= 200 x 10 = 2000

tens place value (y)= 3 x 10 =30

Required number =  50,000 +2000 + 200 + 30+ 3  = 52,233

Mikes home street address number = 52233

PLS HELP

Which function represents the transformation that moves figures to the right 3 units and down 7 units?

Answers

Answer:

A

Step-by-step explanation:

Adding positively to an x moves it right, and negative moves left. Adding to a y moves it up, and subtracting moves it down.

The transformation that moves figures to the right 3 units and down 7 units is A. (x, y) ⇒ (x + 3, y - 7)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, right or left in the coordinate plane. If a point A(x, y) is moved a units right and b units down, the new location would be at A(x + a, y - b).

A function that moves figures to the right 3 units and down 7 units can be represented by:

(x, y) ⇒ (x + 3, y - 7)

Find out more at: https://brainly.com/question/11707700

The zoo charges an entry fee of $12.50 plus $5.00 per animal show ticket. Let t represent the number of animal show tickets purchased and c represent the total cost of the entry fee and animal show tickets. Write an equation to calculate the total cost for a person who pays the entry fee and purchases t tickets.

Answers

Answer:

c=5t+12.50, it cost 17.50 for one person

Step-by-step explanation:

5$ per person

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Answers

I’m 644.001 dollars if not I’m sorry

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Step-by-step explanation:

520 × 7.65= 39.78

546 × 7.65 = 41.77

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Answers

Answer

B: 12/7

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

I hope this helps

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

When you divide the miles by the hours, it's always 12.5, meaning that k must be 12.5.

If x is the hours and k is 12.5, the equation that describes the relationship is y = 12.5x.

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Answers

Please be more specific

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Answers

Answer:

yes it is proportional, if you subtract 3.76 from 5.64 you get 1.88 then add 1.88 to each number to make sure it's right.

Answer:

The statement of whether the cost is proportional to the cost and weight of apples is: yes, it is proportional.

Step-by-step explanation:

From what I can find out from the graph, I would firstly likely want to see if there is a constant between each pound and cost. Meaning, I would want to see if there is a rule that is used throughout the table.

From what I had found out, the rule of this table is:

(x = pounds of apples)

(y = cost of apples)

y = 1.88x

This means that in order to get the 'y' value, also known as the cost of apples, we must multiply 1.88 to the 'x' values, pounds of apples.

This can be found by:

First, dividing 3.76 to 2, your quotient is: 1.88

[tex]\frac{3.76}{2}=1.88[/tex]

Then we need to see if this applies to the other terms as well by multiplying 1.88 to each 'x'

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The difference in rainfall between the wettest and the driest months is inches.

Answers

Answer:

The difference is 3.97 inches of rainfall

Step-by-step explanation:

Here, we want the difference between the wettest and driest months.

From the question, we can see that the wettest month has a rainfall height of 2.3 inches

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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(7)

Answers

Answer:

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Step-by-step explanation:

Using the identity

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answer:

m<1= 95

Step-by-step explanation:

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Answers

Answer:

the answers should be T1, -9(x, y)

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Good luck!

.
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Answers

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Hope this helps.

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Answers

Answer:

x= 7/3 (fraction)

Step-by-step explanation:

If you plug it in it will work

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ООО
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Answers

Answer:Write a hypothesis about the pH level of common household solutions based on what you know about their physical and chemical properties. Use the format of "if . . . then . . . because . . .” and be sure to answer the lesson question "How is pH used to determine if a solution is acidic or basic?”

Step-by-step explanation:

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Answers

Answer:

Slope of line = 2

Step-by-step explanation:

Line is passing through the points

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Answers

Answer:

r= -3

Step-by-step explanation:

-3 r + 3(r-2) = -2(r+6)

-3r+3r-6= -2r-12

-6= -2r-12

2r=6-12

2r= -6

r= -3

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