document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945694>Question 945694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The town swimming pool is d feet deep. The width of the pool is 10 feet greater than 5 times the depth. The length of the pool is 25 feet greater than the width.<BR>\n" );
document.write( "A.Write and simplify an expression to represent the volume of the pool.<BR>\n" );
document.write( "B. If the pool holds 51,000 ft3 of water, what are the dimensions of the pool?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576910 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The town swimming pool is d feet deep.<BR>\n" );
document.write( " The width of the pool is 10 feet greater than 5 times the depth.<BR>\n" );
document.write( "w = 5d+10<BR>\n" );
document.write( " The length of the pool is 25 feet greater than the width.<BR>\n" );
document.write( "L = w + 25<BR>\n" );
document.write( "Replace w with (5d+10)<BR>\n" );
document.write( "L = (5d+10) + 25<BR>\n" );
document.write( "L = 5d + 35<BR>\n" );
document.write( ";<BR>\n" );
document.write( "A.Write and simplify an expression to represent the volume of the pool.<BR>\n" );
document.write( "Volume = L*w*d<BR>\n" );
document.write( "replace L and w<BR>\n" );
document.write( "V = (5d+35)*(5d+10)* d<BR>\n" );
document.write( "V = (25d^2 + 50d + 175d + 350)* d<BR>\n" );
document.write( "V = (25d^2 + 225d + 350)*d<BR>\n" );
document.write( "Factor out 25 and you have<BR>\n" );
document.write( "V = 25d(d^2 + 9d + 14)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B. If the pool holds 51,000 ft3 of water, what are the dimensions of the pool?<BR>\n" );
document.write( "25d(d^2 + 9d + 14) = 51000<BR>\n" );
document.write( "divide both sides by 25<BR>\n" );
document.write( "d(d^2 + 9d + 14) = 2040<BR>\n" );
document.write( "the equation<BR>\n" );
document.write( "d^3 + 9d^2 + 14d - 2040 = 0<BR>\n" );
document.write( "Using the Ti83, I got d = 10 ft is the depth<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5(10) + 10 = 60 ft is the width<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5(10) + 35 = 85 ft is length<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check this, find the vol using these values; 85 * 60 * 10 = 51000 </SPAN>\n" );
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