document.write( "Question 530657: a rope 36 feet long is cut into three pieces, the second piece is four feet longer tha the first, the las t piece is three times as long as the second. if x represents the length of the first piece, then which equation determines the lenght of the first piece?
\n" ); document.write( "36=5x+8
\n" ); document.write( "36=x+(x+4)+(3x)
\n" ); document.write( "36=3x+12
\n" ); document.write( "36=x+(x+4)+3(x+4)
\n" ); document.write( "36=3x+16 \n" ); document.write( "

Algebra.Com's Answer #350179 by oberobic(2304) $\"\"$ $\"About$

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A rope is cut into three pieces: x, y, and z.
\n" ); document.write( "y = x+4
\n" ); document.write( "z = 3(x+4
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\n" ); document.write( "substitute
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\n" ); document.write( "x + (x+4) + 3(x+4) = 36
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\n" ); document.write( "x + x + 4 + 3x + 12 = 36
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\n" ); document.write( "5x + 16 = 36
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\n" ); document.write( "5x = 20
\n" ); document.write( ".
\n" ); document.write( "x = 4
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\n" ); document.write( "y = 4+4 = 8
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\n" ); document.write( "z = 3(8) = 24
\n" ); document.write( ".
\n" ); document.write( "4 + 8 + 24 = 36
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\n" ); document.write( "Correct.
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\n" ); document.write( "Done.
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