document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100478>Question 100478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the distance from philadelphia to sea isle cit is 100 miles, a car was driven this distance using tires with a radius of 14 inches. how many revolutions of each tire occurred on the trip?\r<BR>\n" );
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document.write( "thank you so much for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73207 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we must find the circumference of the tire.<BR>\n" );
document.write( "Since a tire is a circle we can use the formula for circumference of a circle to find the circumference of the tire.<BR>\n" );
document.write( "circumference equals diameter times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "NOTE: since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an irrational number 3.14159265358979323846 (this is just a small portion of it). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > is commonly rounded to 3.14 for use in solving problems. This is the value we will use for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now our formula for circumference require that we know the diameter. We are not given the diameter of the tire, but we are given the radius. The radius of a circle is equal to 1/2 the diameter. So to find diameter just multiply the radius by 2.\r<BR>\n" );
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document.write( "14*2=28\r<BR>\n" );
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document.write( "Now we have everything we need to find the circumference of the tire.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cicumference=%28diameter%29%28pi%29 ALIGN=MIDDLE  ALT=\"cicumference=%28diameter%29%28pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=%2828%29%283.14%29 ALIGN=MIDDLE  ALT=\"c=%2828%29%283.14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=87.92 ALIGN=MIDDLE  ALT=\"c=87.92\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Ok so now we have found that the circumference of the tire is 87.92 inches.<BR>\n" );
document.write( "But so what you might say, what good is that? Well this tells us that everytime the tire makes a complete revolution it travels 87.92 inches. <BR>\n" );
document.write( "Now we can divide 87.92 inches into 100 miles to find out how many revolutions the tire made on the trip.<BR>\n" );
document.write( "But first we need to convert 100 mile into inches.<BR>\n" );
document.write( "1 mile = 5280 feet = 63360 inches<BR>\n" );
document.write( "So how many inches in 100 miles<BR>\n" );
document.write( "63360*100 = 6336000 inches<BR>\n" );
document.write( "So finally divide 6336000 by 87.92<BR>\n" );
document.write( "6336000/87.92 = 72065.5141 revolutions for each tire.\r<BR>\n" );
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