document.write( "Question 1186778: A 174-meter rope is cut into two segments. The longer segment is 30 meters longer than the shorter segment.
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document.write( "Write and solve a linear equation to find the length of each segment. Include units.
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document.write( "The segments are ___ and ___ long. \n" );
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Algebra.Com's Answer #817735 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the length of the shorter segment, in meters.\r\n" ); document.write( "\r\n" ); document.write( "Then the length of the longer segment is (x+30) meters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total length is 174 meters, giving an equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + (x+30) = 174.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 2x + 30 = 174\r\n" ); document.write( "\r\n" ); document.write( " 2x = 174 - 30\r\n" ); document.write( "\r\n" ); document.write( " 2x = 144\r\n" ); document.write( "\r\n" ); document.write( " x = 144/2 = 72.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. One piece is 72 meters; another piece is 72 + 30 = 102 meters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 72 + 102 = 174. ! Correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |