kanajane11 kanajane11

14-03-2022
Mathematics

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Variables x, y, and z are integers such that xyz > 0. If xy=30, x/z=2/3, and z=9, what is the value of y?

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jimthompson5910 jimthompson5910

14-03-2022

Answer: 5

Explanation:

Plug z = 9 into the second equation and solve for x.

x/z = 2/3

x/9 = 2/3

x = 9*(2/3)

x = 18/3

x = 6

This leads to

xy = 30

y = 30/x

y = 30/6

y = 5

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