document.write( "Question 582421: a is directly proportional to b and inversely proportional to the square of c. if a=7 when b=9 and c=6, find a when b=4 and c=8 \n" ); document.write( "
Algebra.Com's Answer #372045 by Edwin McCravy(20055)\"\" \"About 
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a is directly proportional to b and inversely proportional to the square of c. if a=7 when b=9 and c=6, find a when b=4 and c=8
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document.write( "\"First_quantity_mentioned\" =  \r\n" );
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document.write( "a = k·\"b%2Fc%5E2\"\r\n" );
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document.write( "Substitute the information from the situation when all the variables \r\n" );
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document.write( "7 = k·\"9%2F6%5E2\"\r\n" );
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document.write( "Solve for k:\r\n" );
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document.write( "7 = k·\"9%2F36\"\r\n" );
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document.write( "7 = k·\"1%2F4\"\r\n" );
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document.write( "Multiply both sides by 4\r\n" );
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document.write( "28 = k\r\n" );
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document.write( "Substitute the value of k in the equation:\r\n" );
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document.write( "a = k·\"b%2Fc%5E2\"\r\n" );
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document.write( "a = 28·\"b%2Fc%5E2\"\r\n" );
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document.write( "Substitute the information from the other situation when all \r\n" );
document.write( "the variables BUT ONE are given:\r\n" );
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document.write( "a = 28·\"b%2Fc%5E2\"\r\n" );
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document.write( "a = 28·\"4%2F8%5E2\"\r\n" );
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document.write( "Solve for the missing variable, which in this case is \"a\":\r\n" );
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document.write( "a = 28·\"4%2F84\"\r\n" );
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document.write( "a = 28·\"1%2F16\"\r\n" );
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document.write( "a = \"28%2F16\"\r\n" );
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document.write( "a = \"7%2F4\"\r\n" );
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document.write( "a = \"1%263%2F4\" or\r\n" );
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document.write( "a = 1.75\r\n" );
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document.write( "Edwin
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