document.write( "Question 692536: y varies jointly as m and the square root of n and inversely as p. y=15 when m=2,n=1, and p=6. find y when m=3,n=4, and p=10 \n" ); document.write( "

Algebra.Com's Answer #427051 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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y varies jointly as m and the square root of n and inversely as p.
\n" ); document.write( "y = $\"%28m%2Asqrt%28n%29%29%2Fp\"$
\n" ); document.write( ":
\n" ); document.write( "y=15 when m=2,n=1, and p=6.
\n" ); document.write( "let k = the constant of variation
\n" ); document.write( " $\"%28k%28m%2Asqrt%28n%29%29%29%2Fp\"$ = y
\n" ); document.write( "then replace y, m, n, and p; find k
\n" ); document.write( " $\"%28k%282%2Asqrt%281%29%29%29%2F6\"$ = 15
\n" ); document.write( " $\"%282k%29%2F6\"$ = 15
\n" ); document.write( "2k = 15 * 6
\n" ); document.write( "2k = 90
\n" ); document.write( "k = 90/2
\n" ); document.write( "k = 45
\n" ); document.write( "then
\n" ); document.write( "y = $\"%2845%28m%2Asqrt%28n%29%29%29%2Fp\"$ is our equation
\n" ); document.write( ":
\n" ); document.write( "find y when m=3, n=4, and p=10
\n" ); document.write( "y = $\"%2845%283%2Asqrt%284%29%29%29%2F10\"$
\n" ); document.write( "y = $\"%2845%286%29%29%2F10\"$
\n" ); document.write( "y = $\"270%2F10\"$
\n" ); document.write( "y = 27 \n" ); document.write( "

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