document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865382>Question 865382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If m varies directly as n and varies inversely as p, and m=9 when n=3 and p=7, find m when n=5 and p=18. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521664 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=521664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "\"m varies directly as n and varies inversely as p\" means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28k%2An%29%2Fp ALIGN=MIDDLE  ALT=\"m=%28k%2An%29%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > for some fixed number k (k is a constant).\r<BR>\n" );
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document.write( "We are told that \"m varies directly as n and varies inversely as p\" which means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28k%2An%29%2Fp ALIGN=MIDDLE  ALT=\"m=%28k%2An%29%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We're also told that \"m=9 when n=3 and p=7\". Plug these values into the equation and solve for k. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28k%2An%29%2Fp ALIGN=MIDDLE  ALT=\"m=%28k%2An%29%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=%28k%2A3%29%2F7 ALIGN=MIDDLE  ALT=\"9=%28k%2A3%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A7=k%2A3 ALIGN=MIDDLE  ALT=\"9%2A7=k%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63=3k ALIGN=MIDDLE  ALT=\"63=3k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3k=63 ALIGN=MIDDLE  ALT=\"3k=63\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=63%2F3 ALIGN=MIDDLE  ALT=\"k=63%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=21 ALIGN=MIDDLE  ALT=\"k=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=21 ALIGN=MIDDLE  ALT=\"k=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we go from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28k%2An%29%2Fp ALIGN=MIDDLE  ALT=\"m=%28k%2An%29%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2821n%29%2Fp ALIGN=MIDDLE  ALT=\"m=%2821n%29%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > (replace k with 21, since k = 21)\r<BR>\n" );
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document.write( "Now we plug in n = 5 and p = 18 into that last equation to find m\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2821n%29%2Fp ALIGN=MIDDLE  ALT=\"m=%2821n%29%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2821%2A5%29%2F18 ALIGN=MIDDLE  ALT=\"m=%2821%2A5%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=105%2F18 ALIGN=MIDDLE  ALT=\"m=105%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=35%2F6 ALIGN=MIDDLE  ALT=\"m=35%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <font color=\"red\"><--- This is the answer as a fraction</font>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=5.83333 ALIGN=MIDDLE  ALT=\"m=5.83333\"   DISABLED_style= \"max-width:90%; height:auto;\" > <font color=\"blue\"><--- This is the answer as a decimal</font> (use a calculator. This result will be approximate) </SPAN>\n" );
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