Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.

a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.

b. Solve the system you create to find the exact number of student tickets sold and adult tickets solve.

c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?

Answers

Answer 1

Answer:

Adult ticket = 80

Children ticket = 120

Step-by-step explanation:

Given that :

Cost of student ticket = $8

Cost of adult ticket = $10

Number of tickets sold = 200

Total amount collected = $1760

Let number of adult ticket sold = a ; children ticket = b

a + b = 200 _-_(1)

10a + 8b = 1760 ___(2)

a = 200 - b

10(200 - b) + 8b =. 1760

2000 - 10b + 8b = 1760

- 2b = 1760 - 2000

-2b = -240

b = 120

a = 200 - b

a = 200 - 120

a = 80


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The radius of the circle is 9 in so the circumference would be approximately 56.55 in and the area would be approximately 254.47 in

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17) y = 4x - 5
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Answer:

17) the parallel slope is 4x.

18) the parallel slope is 2x.

19)the parallel slope is -4/-3x.

    because 4x-3y=-15

                    -4x      -4x

                     - 3y=-4x-15

                     -3      -3    -3

                        y=-4/-3-5

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Step-by-step explanation:

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In the figure above, point B lies on AD. What is the value of 3x?
A) 18
B) 36
C) 54
D) 72

Answers

Answer:

54°

Step-by-step explanation:

We know that a flat line= 180° and ∠ABC is 90° which means 2x+2x+x=90°.

Therefore, 5x=90° so x=18°

18*3=54 so your answer is 54°

3x = 54°

The correct option is (C).

What are angles?

An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points. The angle can also be represented by three letters of the shape that define the angle, with the middle letter being where the angle actually is (i.e.its vertex). Angles are generally represented by Greek letters such as θ, α, β, etc.

Given,

In the figure

∠CBA = 90°

and

∠CAB + ∠CBD = 180°

Putting the value by the given figure

90° + x + 2x + 2x = 180°

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Hence, the value of 3x = 54°

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two friends are trying to get the best deal on a streaming service for movies.john choose to sign up with soupstream streaming service,which requires a one-time signup fee of $20 and charge 50 cents per movie watched.his friend matt chooers modata streaming service, because it has no signup free.however, the modata service charges $3 per movie

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Which amounts of materials satisfy the relationship?

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3 cubic yards of compost, 12 cubic yards of topsoil

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Answer:3

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Answer: 1 cubic yard of compost, 12 cubic yards of topsoil

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Frank bought 3 pencils for $0.79 each, 2 notebooks for $3.29 each, and a comic book for $1.29. How much change will he receive from $20?

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Answer:

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Step-by-step explanation:

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Answer:

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Scale factor is used to compare 2 quantities, indicating by how much one quantity is greater than the other. It is denoted by K. Mathematically-

K = a/b.

If a coordinate point (x, y) is dilated by a scale factor of [k], then the coordinate point after dilation will be - (kx, ky).

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Therefore, the area of the figure after dilation would be 20 square units

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a car is moving with a velocity of 20 metre per second calculate the distance covered by the car in 10 seconds​

Answers

Answer:

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Step-by-step explanation:

Answer:

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A sample of 18 randomly selected women is obtainedand the blood platelet count of each subject is measured. The mean is 253.9 and the standard deviation is 63.6. What is the margin of error (round to the nearest tenth)?

Answers

Answer:

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Step-by-step explanation:

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NEED THE ANSWER IN 23 MIN Paul wanted to know about how much time students in his school spent studying. From a list of student names, he chose a name at random from the list, and then every sixth student after that continuing through the list until he came back to the name he started with. Was Paul’s survey a random survey, and if so, which sampling method did he use? A. Yes, Paul used simple random sampling. B. Yes, Paul used systematic random sampling. C. Yes, Paul used stratified random sampling. D. No, Paul’s survey was not a random sample.

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Jose earns $3680 per month of which 22% is taken out his paycheck for federal and state income taxes and other required deductions. Last month he spent $775 for rent and $86.12 for clothing. What percent of his take-home pay did he spend on rent and clothing combined.

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Step-by-step explanation:

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Anthony and Michelle have £65.25 between them. Anthony's amount is two thirds of Michelle's amount. How much money does each have?

Answers

Answer:

43.50

Step-by-step explanation:

MULTIPLE THE 2 NUMBERS

a. The amount of money that Anthony has is £26.1.

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Let Anthony's amount be A.Let Michelle's amount be M.

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Total amount = £65.25

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In this exercise, we are required to translate the word problem into a mathematical (algebraic) expression and solve for the unknown variable (number):

Translating the word problem into an algebraic expression, we have;

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Anthony and Michelle have £65.25 between them:

[tex]A+M=65.25[/tex]   ...equation 2

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To find the value of A:

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Answer:

See below.

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Be my best frienddd Ill make BrainLess!
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carbohydrates

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