Question

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

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.