document.write( "Question 243139: Find the number that is exactly three-fifths of the way from 14 to 69 on the number line.\r
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document.write( "A. 47 B. 36 C. 33 D. 22 E. none of these \n" );
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Algebra.Com's Answer #178148 by Theo(13342) You can put this solution on YOUR website! 69 - 14 = 55\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "all the way from 14 to 69 would be 55 units\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3/5 of the way would be 3*55/5 = 3*11 = 33 units\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "14 + 33 = 47 units\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "47 should be 3/5 of the way to 69.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "how would we figure?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "47 - 14 = 33\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "69 - 1`4 = 55\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "33/55 = 3/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to visualize this, take smaller numbers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take 5 units away.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume 10 to 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's 5 units away\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3/5 * 5 = 3 units\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that means that 10 + 3 = 13 would be 3/5 of the way to 15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your units are:\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " *** \r\n" ); document.write( " 1/5 2/5 3/5 4/5 5/5\r\n" ); document.write( "10\r\n" ); document.write( "11 * * * * * \r\n" ); document.write( "12 * * * * \r\n" ); document.write( "13 * * * \r\n" ); document.write( "14 * * \r\n" ); document.write( "15 * \r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you move 5 units you will be there.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you move 3 units you will have moved 3 out of 5 which makes you 3/5 there.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer would be C.) which is 33 units.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |