document.write( "Question 186950: x varies directly as the square of y and inversely as z. When y6 and z=3, x=112. What is x when y=3 and z=3? \n" ); document.write( "
Algebra.Com's Answer #140120 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x varies directly as the square of y and inversely as z\" translates to \"x=ky%5E2%2Fz\" (let me know if you need help with the translation)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=ky%5E2%2Fz\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"112=k%286%29%5E2%2F3\" Plug in y=6, z=3 and x=112\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"112%283%29=k%286%29%5E2\" Multiply both sides by 3.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"336=k%286%29%5E2\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"336=k%2836%29\" Square 6 to get 36\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"336%2F36=k\" Divide both sides by 36 to isolate 'k'.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"28%2F3=k\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the constant is \"k=28%2F3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the equation is:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28%2828%2F3%29y%5E2%29%2Fz\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28%2828%2F3%29%283%29%5E2%29%2F%283%29\" Plug in \"k=28%2F3\", y=3 and z=3\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28%2828%2F3%29%289%29%29%2F%283%29\" Square 3 to get 9\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=28\" Multiply and reduce
\n" ); document.write( "
\n" );