document.write( "Question 167607: This is another form of problem that I am having trouble with. I would appreciate any help you can give me.\r
\n" ); document.write( "\n" ); document.write( "d varies inversely as w and directly as the square of v. If d=40 when w=6 and v=2, find d when w=9 and v=4.\r
\n" ); document.write( "\n" ); document.write( "d=kv2
\n" ); document.write( "40=k(4)2
\n" ); document.write( "40=k(16)
\n" ); document.write( "40/16=k
\n" ); document.write( "5/2=k
\n" ); document.write( "

Algebra.Com's Answer #123544 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
d varies inversely as w and directly as the square of v.
\n" ); document.write( "This translates to:
\n" ); document.write( "d =\"%28kv%5E2%29%2Fw\"
\n" ); document.write( ":
\n" ); document.write( " If d=40 when w=6 and v=2,
\n" ); document.write( "40 = \"%28k%2A2%5E2%29%2F6\"
\n" ); document.write( "Find k
\n" ); document.write( "\"%284k%29%2F6\" = 40
\n" ); document.write( ":
\n" ); document.write( "Multiply both sides by 6
\n" ); document.write( "4k = 6*40
\n" ); document.write( "4k = 240
\n" ); document.write( "k = \"240%2F4\"
\n" ); document.write( "k = 60
\n" ); document.write( ";
\n" ); document.write( "The equation: d = \"%2860v%5E2%29%2Fw\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " find d when w=9 and v=4.
\n" ); document.write( "d = \"%2860%284%5E2%29%29%2F9\"
\n" ); document.write( "d = \"%2860%2816%29%29%2F9\"
\n" ); document.write( "d = \"960%2F9\"
\n" ); document.write( "d = 106\"2%2F3\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );