suppose x varies directly as y and x varies inversely as z. Find z when x = 10 and y = - 7 if z = 20 when x = 6 and y = 14

Question

Mathematics

Omar Zavala

17 February, 01:02

suppose x varies directly as y and x varies inversely as z. Find z when x = 10 and y = - 7 if z = 20 when x = 6 and y = 14

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Answers (1)

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Armani Odonnell · Answer 1

Answer: Z is - 66.7

Step-by-step explanation:X = K (Y/Z) if x = 10, y=-7, Z=20 substituting in the equation 10=K (-7/20) solving for K = -28.6

When x=6, Y=14, and K (constant) = -28.6

6=-28.6 (14/Z) solving for Z by cross multiplication and dividing the product of - 28.6 and 14 by 6 = - 66.7.