document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199508>Question 199508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 45-foot rope is to be cut into three pieces. The second piece must be twice as long as the first piece and the third peice must be 9 feet longer than 3 times the length of the second piece. How long should each three peices be?\r<BR>\n" );
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document.write( "How do I write this problem algibraicly? How do I solve it? My Final is tomarrow please help.\r<BR>\n" );
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document.write( "-Andrew </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149905 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "A 45-foot rope is to be cut into three pieces. The second piece must be twice as long as the first piece and the third peice must be 9 feet longer than 3 times the length of the second piece. How long should each three peices be? <BR>\n" );
document.write( "How do I write this problem algibraicly? How do I solve it? My Final is tomarrow please help. <BR>\n" );
document.write( "-Andrew<BR>\n" );
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document.write( "So the total amount of rope is 45 ft, so, that means the length of all three rope lengths will equal 45<BR>\n" );
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document.write( "We have to name the lengths in terms of \"x\"<BR>\n" );
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document.write( "You can usually name one of the variables, in this case there are three, \"x\", it probably doesn't matter, but we will use the easiest way<BR>\n" );
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document.write( "We will name Length 1, \"x\"<BR>\n" );
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document.write( "The second piece must be twice as long as the first piece,<BR>\n" );
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document.write( "If the length 1 is \"x\", and length 2 has to be twice as long, length 2 = \"2x\"<BR>\n" );
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document.write( "We will work the third piece a little slower, because it is the hardest of the three<BR>\n" );
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document.write( "the third peice must be 9 feet longer than 3 times the length of the second piece,<BR>\n" );
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document.write( "the third peice must be 9 feet longer than 3 times the length of the second piece, which is \"2x\"<BR>\n" );
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document.write( "the third peice must be 9 feet longer than 3 times \"2x\"<BR>\n" );
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document.write( "the third peice must be 9 feet longer than 3(2x)<BR>\n" );
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document.write( "the third peice must be 9 feet longer than \"6x\",<BR>\n" );
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document.write( "You would now add \"9\" to \"6x\"<BR>\n" );
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document.write( "the third peice must be \"6x + 9\",<BR>\n" );
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document.write( "Length 3 = \"6x + 9\"<BR>\n" );
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document.write( "Length 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+ ALIGN=MIDDLE  ALT=\"+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+%2B+9+ ALIGN=MIDDLE  ALT=\"+6x+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "All of these lengths will add up to 45, we can now have our equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29+%2B+%282x%29+%2B+%286x+%2B+9%29+=+45+ ALIGN=MIDDLE  ALT=\"+%28x%29+%2B+%282x%29+%2B+%286x+%2B+9%29+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can get rid of the parentheses<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2x+%2B+6x+%2B+9+=+45+ ALIGN=MIDDLE  ALT=\"+x+%2B+2x+%2B+6x+%2B+9+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now add like terms<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+2x+%2B+6x+%2B+9+=+45+ ALIGN=MIDDLE  ALT=\"+x+%2B+2x+%2B+6x+%2B+9+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+%2B+9+=+45+ ALIGN=MIDDLE  ALT=\"+9x+%2B+9+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We will move \"9\" to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+%2B+9+=+45+ ALIGN=MIDDLE  ALT=\"+9x+%2B+9+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+%2B+9+-+9+=+45+-+9+ ALIGN=MIDDLE  ALT=\"+9x+%2B+9+-+9+=+45+-+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+=+36+ ALIGN=MIDDLE  ALT=\"+9x+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to find \"x\" divide each side by \"9\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+=+36+ ALIGN=MIDDLE  ALT=\"+9x+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x%2F9+=+36%2F9+ ALIGN=MIDDLE  ALT=\"+9x%2F9+=+36%2F9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can check your answer by replacing \"x\" with \"4\" in the equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29+%2B+%282x%29+%2B+%286x+%2B+9%29+=+45+ ALIGN=MIDDLE  ALT=\"+%28x%29+%2B+%282x%29+%2B+%286x+%2B+9%29+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284%29+%2B+%282%284%29%29+%2B+%286%284%29+%2B+9%29+=+45+ ALIGN=MIDDLE  ALT=\"+%284%29+%2B+%282%284%29%29+%2B+%286%284%29+%2B+9%29+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284%29+%2B+%288%29+%2B+%28+24+%2B+9%29+=+45+ ALIGN=MIDDLE  ALT=\"+%284%29+%2B+%288%29+%2B+%28+24+%2B+9%29+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284%29+%2B+%288%29+%2B+%2833%29+=+45+ ALIGN=MIDDLE  ALT=\"+%284%29+%2B+%288%29+%2B+%2833%29+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+45+=+45+ ALIGN=MIDDLE  ALT=\"+45+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True )<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+ ALIGN=MIDDLE  ALT=\"+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%284%29+ ALIGN=MIDDLE  ALT=\"+2%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+ ALIGN=MIDDLE  ALT=\"+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+%2B+9+ ALIGN=MIDDLE  ALT=\"+6x+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%284%29+%2B+9+ ALIGN=MIDDLE  ALT=\"+6%284%29+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+%2B+9+ ALIGN=MIDDLE  ALT=\"+24+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33+ ALIGN=MIDDLE  ALT=\"+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To show you that you can make \"x\" any of the lengths, I will briefly do \"x\" as the Length 2<BR>\n" );
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document.write( "Length 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, if length 2 is twice length 1, then length 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F2+ ALIGN=MIDDLE  ALT=\"+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ", Length 3, is 9 more than three times the second's length, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+9+ ALIGN=MIDDLE  ALT=\"+3x+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F2+ ALIGN=MIDDLE  ALT=\"+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+9+ ALIGN=MIDDLE  ALT=\"+3x+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You would then add these to equal 45 again<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2F2%29+%2B+%28x%29+%2B+%28+3x+%2B+9+%29+=+45+ ALIGN=MIDDLE  ALT=\"+%28x%2F2%29+%2B+%28x%29+%2B+%28+3x+%2B+9+%29+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you would solve to find \"x\" = 8, which was length 2<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+8+ ALIGN=MIDDLE  ALT=\"+x+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F2+ ALIGN=MIDDLE  ALT=\"+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2F2+ ALIGN=MIDDLE  ALT=\"+8%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+ ALIGN=MIDDLE  ALT=\"+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+9+ ALIGN=MIDDLE  ALT=\"+3x+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%288%29+%2B+9+ ALIGN=MIDDLE  ALT=\"+3%288%29+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+%2B+9+ ALIGN=MIDDLE  ALT=\"+24+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33+ ALIGN=MIDDLE  ALT=\"+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If you even wanted to have Length 3 = \"x\" you could, but that would be the hardest and most difficult.<BR>\n" );
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document.write( "Length 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+ ALIGN=MIDDLE  ALT=\"+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Length 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33+ ALIGN=MIDDLE  ALT=\"+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope I helped, Levi<BR>\n" );
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