document.write( "Question 542923: (1) The quotient of sixteen y divided by twenty-seven equals forty-nine. Write the expression.\r
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document.write( "(2) For what value of p is 3 (4p-5)= 2 (p-8) ? \n" );
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Algebra.Com's Answer #354701 by lmeeks54(111) You can put this solution on YOUR website! Problem (1): given: \n" ); document.write( "16y/27 = 49 \n" ); document.write( "simplify and express in terms of y: \n" ); document.write( "... \n" ); document.write( "multiply both sides by 27: \n" ); document.write( "16y = 49 (27) \n" ); document.write( "... \n" ); document.write( "divide both sides by 16: \n" ); document.write( "y = (49 * 27)/16 \n" ); document.write( "... \n" ); document.write( "... \n" ); document.write( "Problem (2): given: \n" ); document.write( "3 * (4p - 5) = 2 * (p - 8) \n" ); document.write( "... \n" ); document.write( "solve for p: \n" ); document.write( "simplify by expanding and combining terms: \n" ); document.write( "3 * (4p) - 3 (5) = 2p + 2(-8) \n" ); document.write( "12p - 15 = 2p - 16 \n" ); document.write( "... \n" ); document.write( "subtract 2p to both sides: \n" ); document.write( "10p - 15 = -16 \n" ); document.write( "... \n" ); document.write( "add 15 to both sides: \n" ); document.write( "10p = -16 + 15 \n" ); document.write( "10p = -1 \n" ); document.write( "p = -0.1 \n" ); document.write( "... \n" ); document.write( "check your work: \n" ); document.write( "3 * (4(-0.1) - 5) = 2 * (-0.1) - 8) \n" ); document.write( "3 * -5.4 = 2 * -8.1 \n" ); document.write( "-16.2 = -16.2 checks \n" ); document.write( "... \n" ); document.write( "cheers, \n" ); document.write( "Lee \n" ); document.write( " |