document.write( "Question 688182: Dear Sir/ Madam a pleasant day! please help me with a word problem about joint variation, I am not sure whether my answer is right or wrong.\r
\n" ); document.write( "\n" ); document.write( "If y varies jointly as x and the square root of z, and inversely as the cube of w, and y = 8 when x=3, z=16 and w=2, find y when x=5, z=25 and w=2.\r
\n" ); document.write( "\n" ); document.write( "I answered 8/133.33, please help me and thank you so much!
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Algebra.Com's Answer #425540 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If y varies jointly as x and the square root of z,
\n" ); document.write( "and inversely as the cube of w,
\n" ); document.write( "---
\n" ); document.write( "y = k*x*sqrt(z)/w^3
\n" ); document.write( "----
\n" ); document.write( "Solve for \"k\" using \"y = 8 when x=3, z=16 and w=2\"
\n" ); document.write( "8 = k*3*4/2^3
\n" ); document.write( "8 = k(3/2)
\n" ); document.write( "----
\n" ); document.write( "k = 16/3
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\n" ); document.write( "Equation:
\n" ); document.write( "y = (16/3)*x*sqrt(z)/w^3
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\n" ); document.write( "Find y when x=5, z=25 and w=2.
\n" ); document.write( "---
\n" ); document.write( "y = (16/3)*5*5/8
\n" ); document.write( "y = (2/3)25
\n" ); document.write( "---
\n" ); document.write( "y = 16 2/3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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