document.write( "Question 600930: john has t tapes and james has ten tapes more than john.Express,in terms of (t), the number of tapes james has.\r
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document.write( "b.john gives james 14 of his tapes.James now has twice as many tapes as john has.\r
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document.write( "write an algebraic expression to represent the amount eavh person has
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Algebra.Com's Answer #379541 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! John has t tapes and James has ten tapes more than John. \n" ); document.write( " \r\n" ); document.write( "Then we add 10 to t and get t+10 tapes that James has.\r\n" ); document.write( "\r\n" ); document.write( "Answer: James has t+10 tapes\r\n" ); document.write( " \n" ); document.write( "b. John gives James 14 of his tapes. \n" ); document.write( " \r\n" ); document.write( "So we subtract 14 from the number of tapes that John has,\r\n" ); document.write( "so John now has t-14 tapes.\r\n" ); document.write( "\r\n" ); document.write( "And we must add those 14 tapes to the number of tapes that James has.\r\n" ); document.write( "So James now has t+10+14 tapes which is the same as t+24 tapes. \r\n" ); document.write( " \n" ); document.write( "James now has twice as many tapes as john has. \n" ); document.write( " \r\n" ); document.write( "So the t+24 tapes that James has must equal to 2 times the t-14 tapes\r\n" ); document.write( "which John has. So we make this equation:\r\n" ); document.write( "\r\n" ); document.write( " t+24 = 2(t-14)\r\n" ); document.write( "\r\n" ); document.write( "write an algebraic expression to represent the amount eavh person has\r\n" ); document.write( "\r\n" ); document.write( "We solve that equation:\r\n" ); document.write( "\r\n" ); document.write( "We use the distributive principle on the right side to remove the\r\n" ); document.write( "parentheses:\r\n" ); document.write( "\r\n" ); document.write( " t+24 = 2(t-14)\r\n" ); document.write( " t+24 = 2t-28\r\n" ); document.write( "\r\n" ); document.write( "We add -2t to both sides\r\n" ); document.write( "\r\n" ); document.write( " t+24 - 2t = 2t-28 - 2t\r\n" ); document.write( "\r\n" ); document.write( "We combine like terms:\r\n" ); document.write( "\r\n" ); document.write( " -t + 24 = -28\r\n" ); document.write( "\r\n" ); document.write( "We add -24 to both sides\r\n" ); document.write( "\r\n" ); document.write( "-t + 24 - 24 = -28 - 24 \r\n" ); document.write( "\r\n" ); document.write( " -t = -52\r\n" ); document.write( "\r\n" ); document.write( "The coefficient of t on the left is -1\r\n" ); document.write( "\r\n" ); document.write( " -1t = -52 \r\n" ); document.write( "\r\n" ); document.write( "We divide both side of the equation by -1\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |