document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330044>Question 330044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> #1, Hat sizes are determined by measuring the circumference of one's head in either inches or centimeters. Use ration and proportion to complete the following table.\r<BR>\n" );
document.write( "\n" );
document.write( "Hat Size          Head Circumference          Head Circumference<BR>\n" );
document.write( "                        (to nearest 1/5 inch)           (to nearest centimeter)<BR>\n" );
document.write( "7 1/2                       23 3/5                                      60<BR>\n" );
document.write( "7 3/8                       _____                                   ______ \r<BR>\n" );
document.write( "\n" );
document.write( "#2, The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 30 mph can stop in 50 ft., how many feet will it take the same car to stop when it is traveling 20 mph?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236498 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=236498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1, Hat sizes are determined by measuring the circumference of one's head in either inches or centimeters. Use ratio and proportion to complete the following table.\r<BR>\n" );
document.write( "\n" );
document.write( "Hat Size          Head Circumference          Head Circumference<BR>\n" );
document.write( "                        (to nearest 1/5 inch)           (to nearest centimeter)<BR>\n" );
document.write( "7 1/2                       23 3/5                                      60<BR>\n" );
document.write( "7 3/8                       _____                                   ______ <BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x)/(7 3/8) = (23 3/5)/(7 1/2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x)/(59/8) = (118/5)/(15/2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x) = (59/8)*(236/75)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 3481/150<BR>\n" );
document.write( "x = 23 13/15 (Head Circumference to nearest 1/15 of inch<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "x/(7 3/8) = 60/(7.5)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = (59/8)(60/7.5)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 59 cm (Head circumference in centimeters)<BR>\n" );
document.write( "================================================\r<BR>\n" );
document.write( "\n" );
document.write( "#2, The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. <BR>\n" );
document.write( "---<BR>\n" );
document.write( "d = k/r^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"k\" using \"a car traveling 30 mph can stop in 50 ft.\"<BR>\n" );
document.write( "50 = k/30^2<BR>\n" );
document.write( "50 = k/900<BR>\n" );
document.write( "k = 45000<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "So, equation is d = 45000/r^2<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "How many feet will it take the same car <BR>\n" );
document.write( "to stop when it is traveling 20 mph?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "d = 45000/20^2<BR>\n" );
document.write( "d = 112.5 ft (stopping distance at 20 mph)<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );