document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197313>Question 197313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Having troubles with these word problems,\r<BR>\n" );
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document.write( "1. If the sides of a square are lenghtend by 5cm, the area becomes 121cm. What is the lenght?\r<BR>\n" );
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document.write( "2. If a pro basketball player has a vertical leap of about 30 inches, what is his hang time?  formula is  V = 48T^2\r<BR>\n" );
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document.write( "3. Jack mows the lawn in 5 hours, Marilyn in 7 hours. How much time will it take if they mow lawn together?\r<BR>\n" );
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document.write( "Thank you in advance for your help... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147968 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=147968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. If the sides of a square are lengthened by 5cm, the area becomes 121cm. <BR>\n" );
document.write( "What is the length?<BR>\n" );
document.write( "Let (x+5) = the lengthened side<BR>\n" );
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document.write( "(x+5)^2 = 121 sq/cm<BR>\n" );
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document.write( "FOIL (x+5)(x+5)<BR>\n" );
document.write( "x^2 + 10x + 25 = 121<BR>\n" );
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document.write( "x^2 + 10x + 25 - 121 = 0<BR>\n" );
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document.write( "x^2 + 10x - 96 = 0 <BR>\n" );
document.write( "Factor this<BR>\n" );
document.write( "(x+16)(x-6) = 0<BR>\n" );
document.write( "The positive solution is what we want here:<BR>\n" );
document.write( "x = 6 is the length of the original square<BR>\n" );
document.write( "and<BR>\n" );
document.write( "6 + 5 = 11 = length of the larger square,  11^2 = 121 proves our solution<BR>\n" );
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document.write( "2. If a pro basketball player has a vertical leap of about 30 inches,<BR>\n" );
document.write( " what is his hang time? formula is V = 48T^2<BR>\n" );
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document.write( "Replace V with 30 and solve for t<BR>\n" );
document.write( "48T^2 = 30<BR>\n" );
document.write( "T^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F48 ALIGN=MIDDLE  ALT=\"30%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "T^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "T = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%2F8%29 ALIGN=MIDDLE  ALT=\"sqrt%285%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "T = .79 ~ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F10 ALIGN=MIDDLE  ALT=\"8%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds<BR>\n" );
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document.write( "3. Jack mows the lawn in 5 hours, Marilyn in 7 hours.<BR>\n" );
document.write( " How much time will it take if they mow lawn together?<BR>\n" );
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document.write( "Let = time required if they work together<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "A shared work equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F5 ALIGN=MIDDLE  ALT=\"t%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F7 ALIGN=MIDDLE  ALT=\"t%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 35<BR>\n" );
document.write( "7t + 5t = 35<BR>\n" );
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document.write( "12t = 35<BR>\n" );
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document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2F12 ALIGN=MIDDLE  ALT=\"35%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.9 hrs or 2 hrs + .9*60 = 54 min<BR>\n" );
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document.write( "Check solution on calc<BR>\n" );
document.write( "enter: (2.9/7) + (2.9/5) = .99 ~ 1, confirms our solution </SPAN>\n" );
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