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ArbitrLikvidat [17]
3 years ago
12

The Town Theater receives $4212 by selling 465 tickets to

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

219

Step-by-step explanation:

let x be the number of full price tickets and y be student/ senior number , then

x + y = 465 → (1)

10x + 8y = 4212 → (2)

Multiplying (1) by - 10 and adding to (2) will eliminate x

- 10x - 10y = - 4650 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = -438

- 2y = - 438 ( divide both sides by - 2 )

y = 219

The number of senior/ student tickets sold was 219

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The perimeter of a rectangle is 500 feet. The ratio of the base and height is 3:2. What is the measure of the height ?
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Answer:

height=100feet

Step-by-step explanation:

perimeter of a rectangle=p=500 feet

p=2a+2b equation 1

a=height

b=base

we have: b/a=3/2

so a=(2*b)/3

in equation 1 we have:

500=2*((2*b)/3)+2*b

so we have

500=(4*b)/3 + 2*b

500=(4b+6b)/3

500=(10b)/3

500*3=10b

b=(500*3)/10

b=150 feet =base

so

a=(2*150)/3=100 feet = height

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3 years ago
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Answer:

x=-10

Step-by-step explanation:

First, use distribution to simplify

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Then, simplify further by combining like terms

2x+6=x-4\\2x+10=x\\10=-1x

Solve

10=-1x\\x=-10\\

8 0
3 years ago
Find the sales tax on the suit which is sold for $490.50, if the tax is 8%
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If a and b represent numbers, which of the following statements represents the commutative property of multiplication?
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