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Proportions

Source:

February 6, 2009
geometry3D geometry

Problem Statement

If x x varies as the cube of y y, and y y varies as the fifth root of z z, then x x varies as the n nth power of z z, where n n is:
<spanclass=latexbold>(A)</span> 115<spanclass=latexbold>(B)</span> 53<spanclass=latexbold>(C)</span> 35<spanclass=latexbold>(D)</span> 15<spanclass=latexbold>(E)</span> 8 <span class='latex-bold'>(A)</span>\ \frac{1}{15} \qquad <span class='latex-bold'>(B)</span>\ \frac{5}{3} \qquad <span class='latex-bold'>(C)</span>\ \frac{3}{5} \qquad <span class='latex-bold'>(D)</span>\ 15 \qquad <span class='latex-bold'>(E)</span>\ 8