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Evgesh-ka [11]
3 years ago
7

5 ^6 − 5 ^11 = 5 x ( 1 − 5 y ) what is the value of x and y

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0
Is it 5^6 - 5^11 = 5x × (1-5y)?
5^6 - 5^11 = 5^(6-11) = 5^(-5) = 1/(5^5)
So 1/3125 = 5x - 5(5y)
1/3125 = 5(x-5y)
1/3125/5 = x-5y
0.000064 = x - 5y
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A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a
Ludmilka [50]

The quantity of each type of seats sold are as follows:

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  • 3D seats = 800

  • Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

  • 20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

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3 0
3 years ago
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