document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109909>Question 1109909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Clintonville Landscapers (CL) Charges a delivery fee of $30 regardless of the amount of mulch delivered within a 20mile radius. The cost of Absolute Black Ultra mulch is $39.99 per cubic yard at CL. Oregonia Nursery is having a special and charges $28.49 for the same mulch, but their delivery charge is $50 per transaction. For how many cubic yards is buying mulch from Oregonia Nursery cheaper? Round your answer to the nearest tenth.\r<BR>\n" );
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document.write( "So, that is the question. I know how to solve an inequality such as a flat rate + $ per mile (as an example) with only a certain dollar amount I'm able to spend. Not sure how to approach this one though. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724880 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> clintonville landsacpers charges 30 dollars regardless of the amount of mulch delivered within a 20 mile radius.\r<BR>\n" );
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document.write( "looks like oregonia charges 50 dollars regardless of the amount of mulch delivered.\r<BR>\n" );
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document.write( "i believe the built in assumptions are that both are charging a flat fee per transaction within a 20 mile radius.\r<BR>\n" );
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document.write( "that makes clintonvolle charge 30 + 39.99 * x and oregonia charge 50 + 28.99 * x, where x is equal to the cubic yards delivered.\r<BR>\n" );
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document.write( "therefore, the break even point would be when 30 + 39.99 * x = 50 + 28.99 * x.\r<BR>\n" );
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document.write( "since you want to know when the cost at clintonville is greater than the cost at oregonia, then the equation becomes the following inequality.\r<BR>\n" );
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document.write( "30 + 39.99 * x > 50 + 28.99 * x.\r<BR>\n" );
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document.write( "subtract 30 from both sides of this inequality and subtract 28.99 * x from both sides of this inequality to get:\r<BR>\n" );
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document.write( "39.99 * x - 28.99 * x > 50 - 30\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "11 * x > 20.\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x > 20 / 11 = 1.818181818\r<BR>\n" );
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document.write( "the cost using clintonville will be greater than the cost using oregonia when more than 1.818181818 cubic yards of black ultra mulch are delivered.\r<BR>\n" );
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document.write( "conversely, the cost using oregonia will be less than the cost using clintonville when more than 1.818181818 cubic yards of black mulch are delivered.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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