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Maurinko [17]
3 years ago
8

Sophia wrote an equation to represent the revenue of a movie theater for one day. She let x represent the number of child ticket

s sold and y represent the number of adult tickets sold. If a child ticket costs $4, an adult ticket costs $6, and the total revenue for the day was $420, which equation could Sophia use to represent the number of child and adult tickets that were sold? mc009-1.jpg mc009-2.jpg mc009-3.jpg mc009-4.jpg
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0
The total revenue that is obtained from selling the tickets is the sum of the revenue from selling the child tickets and the adult tickets. If x and y are the number of child and adult ticket, the equation that would represent the given is,
                                   4x + 6y = 420
The equation that would allow us to solve for the number of adult tickets is,
                                        6y = 420 - 4x
Simplifying,
                                         <em>y = 70 - 2x/3</em>
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3 years ago
Y/3 + 8 = -2 solve for y<br> a. -30<br> b. -18<br> c. 18<br> d. 30
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Answer:

\large\boxed{a.\ -30}

Step-by-step explanation:

\dfrac{y}{3}+8=-2\qquad\text{subtract 8 from both sides}\\\\\dfrac{y}{3}+8-8=-2-8\\\\\dfrac{y}{3}=-10\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{y}{3\!\!\!\!\diagup_1}=(3)(-10)\\\\y=-30

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3 years ago
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Answer:

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Step-by-step explanation:

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Divide by 2 on both sides of equation.

 

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Square-root both sides of equation to undo the exponent.

 

x = √(81)

x = 9

 

Substitute this x value into the initial variables.

 

width = x = 9 yds

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