document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182907>Question 1182907</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If y varies jointly as w and x, fill in the missing values. Also, find the constant of proportionality.<BR>\n" );
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document.write( "W	    X	         Y<BR>\n" );
document.write( "45.4	   18.2 	121<BR>\n" );
document.write( "19.5       41.5	        ___<BR>\n" );
document.write( "___        8.8	        155<BR>\n" );
document.write( "12.4	   ___      	79.9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813024 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Joint variation problems are solved using the equation <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+kxw ALIGN=MIDDLE  ALT=\"y+=+kxw\"   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=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........<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=Y ALIGN=MIDDLE  ALT=\"Y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45.4 ALIGN=MIDDLE  ALT=\"45.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18.2 ALIGN=MIDDLE  ALT=\"18.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121 ALIGN=MIDDLE  ALT=\"121\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19.5 ALIGN=MIDDLE  ALT=\"19.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41.5 ALIGN=MIDDLE  ALT=\"41.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >... ___<BR>\n" );
document.write( "___ ....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.8 ALIGN=MIDDLE  ALT=\"8.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=155 ALIGN=MIDDLE  ALT=\"155\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.4 ALIGN=MIDDLE  ALT=\"12.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... ___ ...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=79.9 ALIGN=MIDDLE  ALT=\"79.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use first row to calaculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   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=121=+k%2A18.2%2A45.4 ALIGN=MIDDLE  ALT=\"121=+k%2A18.2%2A45.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "121= k*826.28\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=121%2F826.28 ALIGN=MIDDLE  ALT=\"k=121%2F826.28\"   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=0.14643946362008037 ALIGN=MIDDLE  ALT=\"k=0.14643946362008037\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0.14643946362008037%2Ax%2Aw ALIGN=MIDDLE  ALT=\"y+=+0.14643946362008037%2Ax%2Aw\"   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=y=+0.14643946362008037%2A41.5%2A19.5 ALIGN=MIDDLE  ALT=\"y=+0.14643946362008037%2A41.5%2A19.5\"   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=y=118.5061359345500394225 ALIGN=MIDDLE  ALT=\"y=118.5061359345500394225\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=118.5 ALIGN=MIDDLE  ALT=\"y=118.5\"   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=155=+0.14643946362008037%2A8.8%2Aw ALIGN=MIDDLE  ALT=\"155=+0.14643946362008037%2A8.8%2Aw\"   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=155=+1.288667279856707256%2Aw ALIGN=MIDDLE  ALT=\"155=+1.288667279856707256%2Aw\"   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=w=155%2F1.288667279856707256 ALIGN=MIDDLE  ALT=\"w=155%2F1.288667279856707256\"   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=w=120.2793 ALIGN=MIDDLE  ALT=\"w=120.2793\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=120.3 ALIGN=MIDDLE  ALT=\"w=120.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0.14643946362008037%2Ax%2Aw ALIGN=MIDDLE  ALT=\"y+=+0.14643946362008037%2Ax%2Aw\"   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=79.9=+0.14643946362008037%2Ax%2A12.4 ALIGN=MIDDLE  ALT=\"79.9=+0.14643946362008037%2Ax%2A12.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=79.9+=+1.81585%2A+x ALIGN=MIDDLE  ALT=\"79.9+=+1.81585%2A+x\"   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=x=79.9%2F1.81585 ALIGN=MIDDLE  ALT=\"x=79.9%2F1.81585\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=44.00143183633 ALIGN=MIDDLE  ALT=\"x=44.00143183633\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "approximately  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=44 ALIGN=MIDDLE  ALT=\"x=44\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "complete table:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........<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=Y ALIGN=MIDDLE  ALT=\"Y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45.4 ALIGN=MIDDLE  ALT=\"45.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18.2 ALIGN=MIDDLE  ALT=\"18.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121 ALIGN=MIDDLE  ALT=\"121\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19.5 ALIGN=MIDDLE  ALT=\"19.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41.5 ALIGN=MIDDLE  ALT=\"41.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=118.5 ALIGN=MIDDLE  ALT=\"118.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120.3 ALIGN=MIDDLE  ALT=\"120.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.8 ALIGN=MIDDLE  ALT=\"8.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=155 ALIGN=MIDDLE  ALT=\"155\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.4 ALIGN=MIDDLE  ALT=\"12.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44 ALIGN=MIDDLE  ALT=\"44\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=79.9 ALIGN=MIDDLE  ALT=\"79.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );