document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82691>Question 82691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello Can you please help me to identify the variables, coefficients, and constants in the this algebraic expression -6x-xy+60.<BR>\n" );
document.write( "Another question is Sue takes 7 minutes more to complete an illustration than <BR>\n" );
document.write( "Jim. The total time taken by both of them is 6 hours. form an algebraic expression to express this and identify the variables, coefficients, and constants of the algebraic expression.<BR>\n" );
document.write( "list any four situations where variables can be used to replace numbers; convert each situation into an algebraic expression. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59314 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> identify the variables, coefficients, and constants in the this algebraic expression -6x-xy+60.<BR>\n" );
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document.write( "x & y are the variables.  Different values can be assigns to x and/or y<BR>\n" );
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document.write( "-6 is the coefficient of x, it multiplies whatever x is equal to.<BR>\n" );
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document.write( "60 is the constant, 60 is always 60, on land or sea or air. It's constant<BR>\n" );
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document.write( "Sue takes 7 minutes more to complete an illustration than Jim. The total time<BR>\n" );
document.write( " taken by both of them is 6 hours. form an algebraic expression to express this<BR>\n" );
document.write( " and identify the variables, coefficients, and constants of the algebraic expression.<BR>\n" );
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document.write( "Get our time in the same units: convert 6 hr to minutes. 6*60 = 360 min<BR>\n" );
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document.write( "Let x = time required by Jim to do the job<BR>\n" );
document.write( "Then (x+7) = time required by Sue to do the job<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
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document.write( "Work equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fx ALIGN=MIDDLE  ALT=\"360%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > +  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F%28%28x%2B7%29%29 ALIGN=MIDDLE  ALT=\"360%2F%28%28x%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Get rid of those pesky denominators, mult the equation by x(x+7) and you have:<BR>\n" );
document.write( "360(x+7) + 360x = x(x+7)<BR>\n" );
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document.write( "360x + 2520 + 360x = x^2 + 7x: multiplied what's in the brackets<BR>\n" );
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document.write( "720x + 2520 = x^2 + 7x: added like terms<BR>\n" );
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document.write( "0 = x^2 + 7x - 720x - 2520; put everything on the right<BR>\n" );
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document.write( "x^2 - 713x - 2520 = 0; a quadratic equation<BR>\n" );
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document.write( "The variables is x (of course), the coefficient -713, the constant is 2520<BR>\n" );
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document.write( "It doesn't tell us to solve it; but x = time (in minutes) required by Jim to do the job<BR>\n" );
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document.write( "Using my trusty Ti83 I got 713.5 min for Jim to do the job, then it would be<BR>\n" );
document.write( "720.5 minutes for Sue to do it, right?<BR>\n" );
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document.write( "list any four situations where variables can be used to replace numbers; convert each situation into an algebraic expression.<BR>\n" );
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document.write( "1. Cost of a cell phone with a monthly fee of $25 and 5 cent a min: <BR>\n" );
document.write( "x = number of minutes<BR>\n" );
document.write( "Cost = .05x + 25<BR>\n" );
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document.write( "2. Cost to make a 1000 mi trip, tolls come to $12.50 you get 25 mi to gal,<BR>\n" );
document.write( " x =  gas price/gal<BR>\n" );
document.write( "Cost = (1000/25)x + 12.50<BR>\n" );
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document.write( "3. Cost of rental car for one day, $25 a day and 10 cents a mile<BR>\n" );
document.write( " x = miles traveled<BR>\n" );
document.write( "Cost = .10x + 25<BR>\n" );
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document.write( "4. In a Democratic Fund raiser, you sell tickets for the privilege of spending<BR>\n" );
document.write( "the night with Hillary.  <BR>\n" );
document.write( "First prize, is one night with Hillary; 2nd prize is 2 nights with Hillary.<BR>\n" );
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document.write( "Fixed cost: 3 nights in a motel = $300, each ticket cost $10.<BR>\n" );
document.write( "Let x = number of tickets sold<BR>\n" );
document.write( "Amount raised = 10x - 300<BR>\n" );
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document.write( "Hope you have a sense of humor. \r<BR>\n" );
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