document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999015>Question 999015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me I don't know what to do the question is list 6 numbers with a average of 78 thank you for helping<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616693 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=616693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are an infinite list of 6 numbers that will give you an average of 78, if the numbers can be allowed to be both positive or negative.\r<BR>\n" );
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document.write( "if the numbers can only be positive, then there is a finite set.\r<BR>\n" );
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document.write( "average = total / number of items\r<BR>\n" );
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document.write( "this formula becomes:\r<BR>\n" );
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document.write( "78 = total / 6\r<BR>\n" );
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document.write( "solve for total to get total = 6 * 78 = 468.\r<BR>\n" );
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document.write( "all you need to do is find 6 numbers that add up to 468.\r<BR>\n" );
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document.write( "here's a couple of examples:\r<BR>\n" );
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document.write( "78,78,78,78,78,78\r<BR>\n" );
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document.write( "1,1,1,1,1,465\r<BR>\n" );
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document.write( "1,2,3,4,5,453\r<BR>\n" );
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document.write( "the only requirement is that the sum of the numbers is equal to 468.\r<BR>\n" );
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document.write( "that's because the average is then 78, because 468 / 6 = 78.\r<BR>\n" );
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document.write( "withouot any restriction as to whether the numbers have to be positive or negative, here's all you need to do.\r<BR>\n" );
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document.write( "pick any 5 numbers.<BR>\n" );
document.write( "doesn't matter what they are.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "1, 307, 523, 798, 1500, x\r<BR>\n" );
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document.write( "the 6th number is x, because you don't know what it is just yet.\r<BR>\n" );
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document.write( "you want to solve for x.\r<BR>\n" );
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document.write( "add up the 5 numbers you already know to get:\r<BR>\n" );
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document.write( "3129 + x = 468\r<BR>\n" );
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document.write( "the sum of the numbers has to be 468.\r<BR>\n" );
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document.write( "solve for x to get x = 468 - 3129 = -2661.\r<BR>\n" );
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document.write( "your 6th number is -2661.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "1 + 307 + 523 + 798 + 1500 + x = 468 becomes:\r<BR>\n" );
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document.write( "1 + 307 + 523 + 798 + 1500 - 2661 = 468\r<BR>\n" );
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document.write( "the sum is 468, as it should be.\r<BR>\n" );
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document.write( "468 / 6 = an average of 78.\r<BR>\n" );
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document.write( "you can pick any 5 numbers, but the 6th one is determined by what the total needs to be.\r<BR>\n" );
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document.write( "you were not given any restrictions, so the 6th number can be negative or positive.\r<BR>\n" );
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document.write( "so, pick any 5 numbers.\r<BR>\n" );
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document.write( "add them up.\r<BR>\n" );
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document.write( "let x be the 6th number.\r<BR>\n" );
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document.write( "the sum of the 5 numbers + x has to be equal to 468.\r<BR>\n" );
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document.write( "solve for x.\r<BR>\n" );
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document.write( "when you add up the 5 numbers plus the value for x that you solved for, you get the total that will be 468, and when you divide 468 by 6, you will get 78 as the average.\r<BR>\n" );
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