document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40565>Question 40565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If  m varies directly as n and inversly as o, and m=20 when n=50 and o=10, find m when n=96 and o=16.<BR>\n" );
document.write( "m=____<BR>\n" );
document.write( "Thank You. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25988 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m is proportional to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28n%2Fo%29+ ALIGN=MIDDLE  ALT=\"+%28n%2Fo%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+k%28n%2Fo%29+ ALIGN=MIDDLE  ALT=\"+m+=+k%28n%2Fo%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where k is a constant, to be found.\r<BR>\n" );
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document.write( "Given that m=20, n=50, o=10 then we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+k%28n%2Fo%29+ ALIGN=MIDDLE  ALT=\"+m+=+k%28n%2Fo%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+=+k%2850%2F10%29+ ALIGN=MIDDLE  ALT=\"+20+=+k%2850%2F10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+=+5k+ ALIGN=MIDDLE  ALT=\"+20+=+5k+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> k = 20/5<BR>\n" );
document.write( "--> k = 4\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+%28%284n%29%2Fo%29+ ALIGN=MIDDLE  ALT=\"+m+=+%28%284n%29%2Fo%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, when n=96 and o=16 we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+%28%284%2A96%29%2F16%29+ ALIGN=MIDDLE  ALT=\"+m+=+%28%284%2A96%29%2F16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+%28%2896%29%2F4%29+ ALIGN=MIDDLE  ALT=\"+m+=+%28%2896%29%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+24+ ALIGN=MIDDLE  ALT=\"+m+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "jon. </SPAN>\n" );
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