SOLUTION: x varies directly as the square of y and inversely as z. When y6 and z=3, x=112. What is x when y=3 and z=3?

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Question 186950: x varies directly as the square of y and inversely as z. When y6 and z=3, x=112. What is x when y=3 and z=3?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
"x varies directly as the square of y and inversely as z" translates to (let me know if you need help with the translation)



Start with the given equation.


Plug in y=6, z=3 and x=112


Multiply both sides by 3.


Multiply


Square 6 to get 36


Divide both sides by 36 to isolate 'k'.


Reduce


So the constant is


-------------------------------


So the equation is:





Plug in , y=3 and z=3


Square 3 to get 9


Multiply and reduce

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