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1954 AMC 12 Question 3

AMC12 · 1954 AMC 12

Question 3

If $x$ varies as the cube of $y,$ and $y$ varies as the fifth root of $z,$ then $x$ varies as the $n$th power of $z,$ where $n$ is:
  1. $\dfrac1{15}$
  2. $\dfrac53$
  3. $\dfrac35$
  4. $15$
  5. $8$