A box office sells balcony seats, ground-level seats, and VIP passes for shows on tour. The table shows the numbers of each type of ticket sold and the revenues for the first three shows of a tour. What is the price of each type of ticket?

A Box Office Sells Balcony Seats, Ground-level Seats, And VIP Passes For Shows On Tour. The Table Shows

Answers

Answer 1

Answer:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180

Step-by-step explanation:

Let the price of one Balcony seat = $[tex]x[/tex]

Let the price of one Ground level seat = $[tex]y[/tex]

Let the price of one VIP seat = $[tex]z[/tex]

As per the given table:

[tex]135x+280y+29z=37170 ....... (1)\\150x+270y+58z=42240 ....... (2)\\130x+265y+29z=35570 ....... (3)[/tex]

Multiplying (1) with 2 and subtracting (2) from it:

[tex]120x+290y=32100 \\12x+29y=3210..... (4)[/tex]

Subtracting (3) from (1):

[tex]5x+15y=1600\\x+3y=320 ....... (5)[/tex]

Multiply equation (5) with 12 and subtracting (4) from it:

[tex]7y=630\\\Rightarrow y =\bold{90}[/tex]

By equation (5), putting value of [tex]y[/tex]:

[tex]x=\bold{50}[/tex]

By equation (1), putting the values of [tex]x, y:[/tex]

[tex]135\times 50+280\times 90+29z=37170\\\Rightarrow 29z=37170-31950\\\Rightarrow 29z=5220\\\Rightarrow z =\bold{180}[/tex]

Therefore, the answers are:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180


Related Questions

what is a dividen in a qoutient?

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Answer:

The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient.

Step-by-step explanation:

Answer:

dividind symbol

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idk

how much is 2x4x6x8=?

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Answer:

384

Step-by-step explanation:

Answer:

your answer will be 384

Step-by-step explanation:

2x4x6x8=384

Which is a solution of 3(x + 4) - x > 4 ?

a. -6
b. -5
c. -4
d. -3

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a.........................

A long year-end status report for work is 162 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.84 each

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Answer:

$23.04

Step-by-step explanation:

-2(3h-1)=5(2h-3) has how many solutions are there

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Answer:

1 solution

Step-by-step explanation:

-2(3h - 1) =5(2h - 3)

-6h + 2 = 10h - 15

-16h = -17

h = 17/16

Answer: 1 solution

What is the common difference of these numbers 0.5 , 0 ,-0.5 ?

Answers

Answer:

0.5

Step-by-step explanation:

they are all 0.5 apart

Solve for h.

2h − 1 = 1

h =

Answers

Answer:

h = 1

Step-by-step explanation:

2h - 1 = 1

2h - 1 + 1 = 1 + 1

2h = 2

2h/2 = 2/2

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Check:

2(1) - 1 = 1

2 - 1 = 1

1 = 1

Answer:

h = 1

Step-by-step explanation:

Add 1 to each side, so it now looks like this: 2h = 2Divide each side by 2 to cancel out the 2 next to h. It should now look like this: h = 1

I hope this helps!

A proportional relationship is represented with the equation y=5x. What is the constant of proportionality of the relationship?
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Answers

The constant is 5, as it relates the two values x and y.

Yolanda purchased stock for $7,000 and paid a 1.5% broker fee. She sold it for $6,325 and paid a 0.5% broker fee. Compute her net proceeds.

Answers

Answer:

$-748.38

Step-by-step explanation:

Net proceeds = Total cost of selling the stock - Total cost of purchasing the stock

Total cost of purchasing the stock = $7000 + ($7000 x 0.015) = $7105

Total cost of selling the stock = $6,325 + ($6,325 x 0.005) = $6356.63

Net proceeds = $6356.63 - $7105 = $-748.38

The quotient of a number and 2 increased by 8 is -15

Answers


n/6 + 2 = 4
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n/6 = 2
(n/6)6 = 2(6)
n = 12
x divided by 2+8=-15 is the answer

what is b+b+b+b-b simplified ​

Answers

Answer:

5b* because we have no idea what it could stand for

Answer:

5b

Step-by-step explanation:

However many b's there are that's your number so in this case its 5 and then you just add be to it so 5b

Given that the real-world distance from Chicago to San Jose is 2,200 miles, the distance from Atlanta to San Jose is

Answers

The distance from Atlanta to San Jose is

Answer:

(2,440.1 mi)

Mrs.Baker bought some books at the book sale,including 12 paperback books.24%of all the books she got were paperbacks.how many books did Mrs.Miller buy in all

Answers

Answer:

50

Step-by-step explanation:

12books=24%of all books

12×2=24

100-24= 76

76÷2=38

38+12=50

Which of the following expressions
are equivalent to the whole number
240?
O 8x3
8 x 30
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O 6x40
O 60 x4

Answers

Answer:

80x3, 6x40, 60x4

Step-by-step explanation:

80x3=240

6x40=240

60x40=240

What is 5.269 written as a mixed number

Answers

5.269 as a mixed number is, 5 269/1000

help me i will mark brainliest​

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It’s B I pretty sure it is

what is the answer to -7-(27)

Answers

Answer: -34

Step-by-step explanation:

hope this helps

Answer:

-34

Step-by-step explanation:

-7 - 27 = -34

or

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Which option is an example of a survey?
A collecting data on pulse rate of a group of people
B. Flipping a coin 100 times and counting the number of heads
C. Asking kids in a kindergarten classroom about the average number of pieces of fruit they eat each day
D. Having a randomly selected group of students take a penci-and paper test and comparing the results with another randomly selected group of students who took the same test on the Computer ​

Answers

Answer:

C

Step-by-step explanation:

You are asking a group of people to gain knowledge, and through that, you would be conducting a survey.

The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990​

Answers

Answer:

1999

Step-by-step explanation:

The equation which represents the given situation is P=180t+620.

Given that, the population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990​.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the standard form of the population is increasing linearly is P = mt + b.

Where m is the slope = (y2-y1)/(x2-x1)=(1520-1160)/(5-3)

=360/2

=180

So, 1160=180 × 3 + b

⇒ 1160=540 × 3 + b

⇒ b=620

Then, the equation is P=180t+620

Therefore, the equation which represents the given situation is P(t)=180t+620.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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"Your question is incomplete, probably the complete question/missing part is:"

The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990​.

If P(t) is the population at time t, which of these equations correctly represents this situation?

Find the sigma notation of the following sum:
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Answers

Answer:

[tex]\displaystyle \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]

Step-by-step explanation:

We have the sum:

[tex]\displaystyle \left[\left(\frac{2}{n}\right)}^3-\frac{2}{n}\right]\left(\frac{2}{n}\right)+...+\left[ \left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\left(\frac{2}{n}\right)[/tex]

And we want to find the sigma notation that represents the sum.

Note that the leftmost term is the first term while the rightmost term is the last term.

n is the number of terms. Therefore, (2 / n) will stay constant. Hence, we can factor it out of the series:

[tex]\displaystyle =\frac{2}{n}\left(\left[\left(\frac{2}{n}\right)^3-\frac{2}{n}\right]+...+\left[\left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\right)[/tex]

Notice the differences between the first term and the last term. The first term is given by [tex]\displaystyle \left(\frac{2}{n}\right)^3- \frac{2}{n}[/tex]. The last term is given by  [tex]\displaystyle \left(\frac{2n}{n}\right)^3- \frac{2n}{n}[/tex]. Because at the last term, our initial term i is equal to n, we can replace the extra n with i for our summation.

Therefore, we can write the following summation:

[tex]=\displaystyle \sum_{i=1}^{n} \frac{2}{n}\left(\left[\left(\frac{2i}{n}\right)^3-\frac{2i}{n}\right]\right)[/tex]

And since (2 / n) is constant:

[tex]\displaystyle = \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]

What is the answer and how do I work this.

Answers

Answer:

other

Step-by-step explanation:

you should now this it's too esay in which standard are you. tell in comments

Which statement about the following system of inequalities is true?

There is no solution because the shading does not overlap.
There is no solution because the graphs do not intersect.
The solution contains points in four quadrants of the coordinate plane.
The solution is equal to the solution to

Answers

Answer:

the following system of inequalities is true

Step-by-step explanation:

there is no solution because the graph do not intersect

There is no solution because the graph does not intersect.

The following system of inequalities is true.

We have given that,

There is no solution because the shading does not overlap.

There is no solution because the graphs do not intersect.

The solution contains points in four quadrants of the coordinate plane.

The solution is equal to the solution to

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

There is no solution because the graph does not intersect.

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write the four equivalent fraction of 9/13​

Answers

Step-by-step explanation:

18/26

27/39

36/52

45/65

An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer (n)

#2.) Town B is 380 km do south of town A. Town C is 460 km due east of town B. What is the distance from town A to town C? Explain your reasoning. Be ute to round your answer appropriately.

Answers

Is this 10 points...

Please help :/ math is my worst subject and i cant get it for the life of me lol

Answers

The answer is (-2, -1.5, 0, 2/5, 3/4)

Answer:

the answer is c

Step-by-step explanation:

because -2 is less than -1.5 0 is going to be in the middle because it separates positive from negatives. and 2/5 is smaller then 3/4

A truck is carrying 9 cars weighing an average of 4,000 pounds each. What is the total weight in tons of the cars on the truck

Answers

Answer:

18 tons

Step-by-step explanation

First you need to know that 1 ton is 2,000 pounds. Ok so if you do the 4,000 pounds times the 9 cars you get 36,000 pounds in total and then you can divide by 2,000 and you get 18 so it is 18 tons.

Alex has a rectangular piece of red paper that is 4centimeters wide. It's length is twice it's width.she glues a rectangular piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters how many square centimeters of red will be paper will be visible on top

Answers

Answer:

11 square centimeters

Step-by-step explanation:

1. find the area of the red paper

  4 x 8 = 32

2. find the area of the blue paper

  3 x 7 = 21

3. subtract area of the blue paper from area of the red paper

  32 - 21 = 11

What is 441,902 rounded to the nearest ten thousand?

Answers

Answer:

440,000

Step-by-step explanation:

The given number i.e. 441,902 rounded to the nearest ten thousand should be considered as the 440,000.

Calculation of the number:

Since the given number is 441,902

We have round the above number to the nearest ten thousand

Since the thousand is less than 5,000 so here it should be 440,000

hence, The given number i.e. 441,902 rounded to the nearest ten thousand should be considered as the 440,000.

Learn more about number here: https://brainly.com/question/17166653

help anyone please??

Answers

Answer:

1.

Collinear points mean they are on the same line. That leaves us with answer d. F, E, G

2.

In this case, the intersection of the 2 planes is a line. 2 points both planes contain are B and C, so the intersection can be named as answer b: Line BC

3.

2 points define a line, so therefore the answer to the question is answer b. 1

Hoped this helped. If it did, could you please consider giving me a brainliest? :)

you have a plate with 83 brownies on it you just saw your friend take 62 brownies from the plate how many are left on the plate?

Answers

Answer:

21 brownies

Step-by-step explanation:

Answer:

21 brownies.

Step-by-step explanation:

83 - 62 = 21

So there are 21 brownies left on the plate.

Hope I helped :)

Please consider Brainliest :)

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