document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117661>Question 1117661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation:\r<BR>\n" );
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document.write( "The hour and minute of a watch are exactly together between 8 and 9 o'clock; required the time\r<BR>\n" );
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document.write( "I don't understand how to work this problem. I can't show my work because I wasn't able to work the problem at all.\r<BR>\n" );
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document.write( "I appreciate any help you can offer! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732775 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "It takes the minute hand one hour to complete an entire circle, i.e. it is moving at 360 degrees per hour or 6 degrees per minute.  Since there are 12 hours on the clock, and 360 divided by 12 is 30, the hour hand moves at a rate of 30 degrees per hour, or one-half degree per minute.\r<BR>\n" );
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document.write( "At exactly 8 o'clock, the hour hand points exactly to the 8 which is at a position of 240 degrees measured clockwise from 0 (i.e. 12).  The minute hand points to 12, which is 0 degrees.\r<BR>\n" );
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document.write( "So the function that describes the motion of the hour hand during the interval from 8 to 9 o'clock is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ h(x)\ =\ 0.5x\ +\ 240\">\r<BR>\n" );
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document.write( "And the function that describes the motion of the minute hand during the interval from 8 to 9 is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ m(x)\ =\ 6x\">\r<BR>\n" );
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document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> is the number of minutes past 8.  When these two functions are equal, the hands point to the same place.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6x\ =\ 0.5\ +\ 240\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">\r<BR>\n" );
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document.write( "Straight up, this will give you the number of minutes with a decimal fraction.  If you want the answer in minutes and seconds, take just the decimal fraction part and multiply it by 60.\r<BR>\n" );
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document.write( "Don't forget to add the minutes to 8 o'clock to get the time of day this occurs.  Alternatively, you can specify that your answer represents minutes after 8 o'clock.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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