document.write( "Question 743536: w varies jointly as x and y and inversely as z. one set of values is w=112 x=4, y=8 and z= 0.2. Find w when x=8, y=10 and z=4 \n" ); document.write( "
Algebra.Com's Answer #452971 by Edwin McCravy(20056)\"\" \"About 
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document.write( "For all proportion problems, start with this:\r\n" );
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document.write( "Varying           \"directly\" or product of \"jointlys\" or 1 if none \r\n" );
document.write( "quantity  = k · ----------------------------------------------------------\r\n" );
document.write( "                inversely variable or product of \"inverselys\" or 1 if none\r\n" );
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document.write( "In this problem the varying quantity is w.\r\n" );
document.write( "the \"jointlys\" are x and y.  We have one inversely,z.  So we have x·y \r\n" );
document.write( "on top and z on the bottom:\r\n" );
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document.write( "w = k·\"x%2Ay%2Fz\"\r\n" );
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document.write( ">>...one set of values is w=112 x=4, y=8 and z= 0.2...<<\r\n" );
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document.write( "Substitute these values:\r\n" );
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document.write( "112 = k·\"4%2A8%2F0.2\"\r\n" );
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document.write( "112 = k·\"32%2F0.2\"\r\n" );
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document.write( "112 = k·\"160\"\r\n" );
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document.write( "Divide both sides by 112\r\n" );
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document.write( "\"7%2F10\" = k\r\n" );
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document.write( "Now substitute \"7%2F10\" for k in the first equation:\r\n" );
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document.write( "w = k·\"x%2Ay%2Fz\"\r\n" );
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document.write( "w = \"7%2F10\"·\"x%2Ay%2Fz\"\r\n" );
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document.write( "w = \"%287%2Ax%2Ay%29%2F%2810%2Az%29\"\r\n" );
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document.write( ">>...Find w when x=8, y=10 and z=4...<<\r\n" );
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document.write( "Substitute those values\r\n" );
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document.write( "w = \"%287%2Ax%2Ay%29%2F%2810z%29\"\r\n" );
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document.write( "w = \"7%2A8%2A10%2F%2810%2A4%29\"\r\n" );
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document.write( "w = 14\r\n" );
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document.write( "Edwin
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