SOLUTION: Suppose r varies directly as the square of​ m, and inversely as s. If r equals 19 when m equals 15 and s equals 9​, find r when m equals 60 and s equals 9.

Algebra ->  Expressions-with-variables -> SOLUTION: Suppose r varies directly as the square of​ m, and inversely as s. If r equals 19 when m equals 15 and s equals 9​, find r when m equals 60 and s equals 9.      Log On


   

Question 1155353: Suppose r varies directly as the square of​ m, and inversely as s. If r equals 19 when m equals 15 and s equals 9​, find r when m equals 60 and s equals 9.
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
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r varies directly as the square of​ m, and inversely as s. If r equals 19 when m equals 15 and s equals 9​, find r when m equals 60 and s equals 9.
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highlight_green%28r=km%5E2%2Fs%29

rs%2Fm%5E2=k

k=rs%2Fm%5E2

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k=19%2A9%2F15%5E2
k=171%2F225
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r=%28171%2F225%29%2860%5E2%29%2F9------------evaluate.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

r = k*(M^2/S)
19 = k *(15^2)/9
k = (9*19)/15^2
k = 0.76
r = 0.76 *((60)^2/9)
=304