document.write( "Question 81657: A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 1/2 feet longer than the second. How long is the first piece?
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document.write( "A. 1 1/10 feet\r
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document.write( "B. 2 1/5 feet\r
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document.write( "C. 2 3/4 feet\r
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document.write( "D. 3 1/3 feet\r
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Algebra.Com's Answer #58492 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Piece #1 + Piece #2 + Piece #3=10 feet \n" ); document.write( ". \n" ); document.write( "Piece #1=x \n" ); document.write( "Piece#2=1/2x=0.5x \n" ); document.write( "Piece#3=.05x+ 4 1/2=.05x+4.5 \n" ); document.write( "Total board = 10 \n" ); document.write( ". \n" ); document.write( "Piece #1 + Piece #2 + Piece #3=10 feet [plug-in the values and solve for x] \n" ); document.write( "(x)+(0.5x)+(0.5x+4.5)=10 \n" ); document.write( "2x+4.5=10 \n" ); document.write( "2x+4.5-4.5=10-4.5 \n" ); document.write( "2x=5.5 \n" ); document.write( "2x/2=5.5/2 \n" ); document.write( "x=2.75 [plug- this back into the original equation] \n" ); document.write( ". \n" ); document.write( "(x)+(0.5x)+(0.5x+4.5)=10 \n" ); document.write( "(2.75)+(0.5)(2.75))+(0.5)(2.75)+4.5)=10 \n" ); document.write( "10=10 [checks out]\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |