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 sold.

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:

a. (A + S = 200), (8S + 10A = 1760)

b. The school play sold 80 adult tickets, and 120 student tickets.

c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Step-by-step explanation:

a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).

b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be

(8S + 10(200 - S) = 1760)

Then you solve for S

(8S + 2000 - 10S = 1760)

-2S = -240

S = 120

Substitute for S in the first system of equations

A = 200 - 120

A = 80

or the second

8(120) + 10A = 1760

960 + 10A = 1760

10A = 800

A = 80

This means that the school play sold 80 adult tickets, and 120 student tickets.

c. (8S + 15A = X)

8(120) + 15(80) = X

X = 2160

2160 - 1760 = 400

400$ more would have been collected if the school charged 15$ per ticket instead of 10$


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a
b
c
d







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Answers

it's not A or D

Step-by-step explanation:

math I guessssssss

Answer:

D

Step-by-step explanation:q

If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.

Since the side opposite is 12, the hypotenuse is easily found.

1/2 = opposite / hypotenuse

1/2 = 12 / hypotenuse                     Cross multiply

hypotenuse = 2 * 12

hypotenuse = 24

Now use the Pythagorean Theorem to get the third side.

c = 24

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576                                  Subtract 144 from both sides.

b^2 = 576 - 144

b^2 = 432

Now  you have to factor 432 down to its primes

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.

sqrt(b^2) = sqrt(432)

b = 4 * 3sqrt(sqrt(3))

b = 12 sqrt(3)

Answer

r = 12*sqrt(3)

t = 24

The answer is D

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Answer:

132 degrees

Step-by-step explanation:

360 - 65 - 86 -77

Which of the following expressions is represented by the number line below?
A. -6 - 5
B. 6 + (-4)
C. -6 + 4
D. 6 - (-4)

Answers

The answer is c if your in ed2020

How much do you save using the better buy? 432 for 6 or 364 for 7

Answers

You will save $20 by buying 364 for 7.

WHAT IS THE HEIGHT OF THE TREE ROUNDED TO THE NEAREST TENTHS PLACE

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Answer:

Where is the number i need to round to?

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Raul uses a credit card to take out a 3-year loan of $4500 at a rate of 15% to purchase
carpeting for his house. What will be the total amount he will repay for this loan?

Answers

Answer:

Amount of loan pay = $6.840 (Approx.)

Step-by-step explanation:

Given:

Amount of loan borrow = $4,500

Rate of interest = 15% = 0.15

Number of year = 3 year

Find:

Amount of loan pay

Computation:

Future value = Present value[1+r]ⁿ

Amount of loan pay = Amount of loan borrow[1+r]ⁿ

Amount of loan pay = 4,500[1+0.15]³

Amount of loan pay = 4,500[1.15]³

Amount of loan pay = 4,500[1.52]

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Which equations are equal to this equation? Select all that apply. 1/4(8x + 56) = 20 A. 56 + 8x = 80 B. 14 = 20 – 8x C. 2x + 14 = 5 D. 2x = 6

Answers

Answer: Hewo, there! your answer is below

B, C, D Are your Answers

Step-by-step explanation:

These Answers Are correct On Edge

Hope this Helps!!!

Have a great day!!!

Carmen will randomly pick one marker from a bowl and one crayon from another bowl.

- There are 4 green markers, 3 brown markers, and 1 purple marker.

- There are 6 orange crayons and 2 yellow crayon.

What is the probability of picking a brown marker and a yellow crayon?

Answers

Brown marker- 3/8 because there are 3 brown out of a total 8.

Yellow crayon- 2/8 = 1/4 because there are 2 yellow out of a total 8. If we simplify that and divide 2 from both sides, we get 1/4. :) Hope that helps! <3

find the area of the shaded part

Answers

Answer:

Step-by-step explanation:

the easiest thing to do is to make the half squares which you have 4 into 2 whole  squares then base times height

4x3=12

Answer:

26cm²

Step-by-step explanation:

Alrighty, let's go count squares:

On the top row, there's 4 (adding the halves together), on the second row there's 5, and on the bottom row there's also 4, so we add that all together to get:

4 + 5 + 4 = 13

But, because each square is 2 cm, we have to multiply:

13 x 2 = 26

So, the area of the shaded section is 26cm²

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Which is an equation of the line that passes through the points (-3,-4) and (4, 10)?

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

I used the slope formula and slope-intercept form  y = mx+b  to find the equation. Which gave me y = 2x + 2

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please please help!!, please show help if possible :D

Answers

the answer would be seven i think

Please help I have been stuck for a while now

Answers

Answer:

D

Step-by-step explanation:

The line-of best fit is where a line would be drawn if there was one. The line goes through the majority of the dots and doesn't touch the outliers. Also the line is strait.

Evaluate the expression and select the appropriate response. 4.25 + 3.50 + 8.25

Answers

Answer:

The answer is 16.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

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Answer:

3.7

Step-by-step explanation:

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The growth of a certain organism can be modeled by C(t)=10(1.029)^24t, where C(t) is the total number of cells after t hours. Which function is approximately equivalent to C(t)?

1. C(t) =240(0.083)^24t
2. C(t)=10(.083)^t
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Answers

Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

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[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

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Therefore, the correct option is 3.

Answer:

c

Step-by-step explanation:

Factor −1/2 out of −1/2x+6.

Answers

Answer:

Step-by-step explanation:

socratic.org/questions/how-do-you-factor-1-2-out-of-1-2x-6#630699

The equation is A = - ( 1/2) [ x - 12 ]

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is A = - ( 1/2 )x + 6

Now , on factorizing the given expression , we get

On taking the common term as - ( 1/2 )

A = - ( 1/2 )x + 6

A = - ( 1/2 ) [x - ( 2 x 6 ) ]

On simplifying the equation , we get

A = - ( 1/2 ) [ x - 12 ]

Therefore , the value of A is A = - ( 1/2 ) [ x - 12 ]

Hence ,The equation is A = - ( 1/2) [ x - 12 ]

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Answers

Answer:

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Answers

Answer:

The equation that can be used to find the number of pencils Andrew bought is:

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Step-by-step explanation:

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c=3.50+0.99x, where:

c is the total cost

x is he number of pencils purchased

Now, you can solve for x in order to find the equation to calculate the number of pencils Andrew bought:

c-3.50=0.99x

x=(c-3.50)/0.99

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x=(c-3.50)/0.99

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Answers

If it’s going 110mph, and the question if asking how many mph will it go for half an hour. Simply just take 110 divided by 2.
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Answers

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Step-by-step explanation:

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Answers

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c

Step-by-step explanation:

math

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Answers

Answer:

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Step-by-step explanation:

I think you mean triangle?

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The number of music CDs sold in 1993 by one company was approximately 2.4 x 100. The number of music CDs sold by the same
company in 2001was approximately 7.3 x 107. What is the difference in CDs sold between 1993 and 2001?
sobod uopsand
A. 70,600,000

OB. 16,700,000
C. 7,060,000
D. 1,670,000
Reset Selection
US 5:33
o
Lenovo

Answers

Answer:

A

Step-by-step explanation:

An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of the spinner not landing on red.
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Blue = 7
Green = 9
Yellow = 6

A. 3/5
B. 11/15
C. 2/5
D. 4/15

Answers

Answer:

Probability(Not red) = 11 / 15

Step-by-step explanation:

Given:

Outcomes;

Red = 8

Blue = 7

Green = 9

Yellow = 6

Find:

Probability(Not red)

Computation:

Probability(Not red) = 1 - Probability(red)

Probability(Not red) = 1 - [Number of red/ Total]

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Probability(Not red) = (15 - 4) / 15

Probability(Not red) = 11 / 15

ASAP, Please help me with this question this is time sensitive.

Erik buys a new combination lock for his locker at the gym. The lock has 3 dials, each with the numbers 0 through 9.

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Answers

Answer: did anyone find the answer???

Step-by-step explanation:

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Answers

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Members of a soccer team raised $1416.50 to go to a tournament. They rented a bus
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Answers

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Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

Hey There!

The Answer = 2

[tex]5(x + 2) = 20 \\ x + 2 = 20 \div 5 \\ x + 2 = 4 \\ x = 4 - 2 \\ x = 2[/tex]

Answer:

x=2

Step-by-step explanation:

5(2x+2)=20

5(4)=20

20=20

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