document.write( "Question 982018: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 12 and Y is 4, Z has the value 57.\r
\n" ); document.write( "\n" ); document.write( "What is the value of Z when X = 18, and Y = 10
\n" ); document.write( "

Algebra.Com's Answer #602903 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
if the variable \"Z\" is directly proportional to \"X\"and inversely proportional to \"Y\", then \"highlight%28Z=kX%2FY%29\"\r
\n" ); document.write( "\n" ); document.write( "When \"X+=12\" and \"Y=4\",\"+Z+=57\":\r
\n" ); document.write( "\n" ); document.write( "Your first sentence: \"Z=kX%2FY\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve for \"k\":\r
\n" ); document.write( "\n" ); document.write( "\"k=ZY%2FX\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your second sentence indicates:
\n" ); document.write( "\"k=57%2A4%2F12\"\r
\n" ); document.write( "\n" ); document.write( "\"k=57%281%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"k=19\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since the formula for \"Z\" is:\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28Z=19Y%2FX%29\" \r
\n" ); document.write( "\n" ); document.write( " then the value of\"+Z\", when \"X+=+18\" and \"Y+=+10\", will be:\r
\n" ); document.write( "\n" ); document.write( "\"Z=19X%2FY\"
\n" ); document.write( "\"Z=19%2A18%2F10\"
\n" ); document.write( " \"Z=342%2F10\"
\n" ); document.write( "\"Z=34.2\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );