Difference between revisions of "1954 AHSME Problems/Problem 3"
Katzrockso (talk | contribs) (Created page with "== Problem 3== If <math>x</math> varies as the cube of <math>y</math>, and <math>y</math> varies as the fifth root of <math>z</math>, then <math>x</math> varies as the nth po...") |
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== Solution == | == Solution == | ||
<math>x=k\cdot y^3</math>, <math>y=j\cdot z^{\frac{1}{5}}\implies y^3=j^3\cdot z^{\frac{3}{5}}</math>, so <math>x=k\cdot j^3\cdot z^{\frac{3}{5}}</math>, <math>\fbox{C}</math> | <math>x=k\cdot y^3</math>, <math>y=j\cdot z^{\frac{1}{5}}\implies y^3=j^3\cdot z^{\frac{3}{5}}</math>, so <math>x=k\cdot j^3\cdot z^{\frac{3}{5}}</math>, <math>\fbox{C}</math> | ||
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| + | ==See Also== | ||
| + | |||
| + | {{AHSME 50p box|year=1954|num-b=2|num-a=4}} | ||
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| + | {{MAA Notice}} | ||
Latest revision as of 19:34, 17 February 2020
Problem 3
If 
varies as the cube of 
, and varies as the fifth root of 
, then varies as the nth power of , where n is:
Solution
, 
, so 
, 
See Also
| 1954 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
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| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
