document.write( "Question 335579: A piece of wire x feet in length is cut into exactly 6 pieces, each 2 feet 4 inches in length. What is the value of x ? (1 foot = 12 inches) \n" ); document.write( "
Algebra.Com's Answer #240549 by Theo(13342)![]() ![]() You can put this solution on YOUR website! piece of wire is x feet in length. \n" ); document.write( "cut into exactly 6 pieces. \n" ); document.write( "each piece is 2 feet 4 inches in length. \n" ); document.write( "what is the value of x?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "equation is x = 6 * p where:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x is the length of wire. \n" ); document.write( "p is the length of each piece of the wire.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "length of each piece is 2 feet + 4 inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 * (2 feet + 4 inches) = 6 * 2 feet + 6 * 4 inches = 12 feet + 24 inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24 inches = 2 feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "length of wire = 12 feet + 2 feet = 14 feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "14 feet divided by 6 = 2.333333333333 feet for each piece.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".333333333333 * 12 inches = 4 inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".33333333333 is the same as 1/3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/3 * 12 inches = 4 inches (same answer as above).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "each piece is equal to 2 feet 4 inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "answer is confirmed as correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you could also have converted everything to inches before starting.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 * (2 feet 4 inches) is equal to 6 * (24 inches + 4 inches) is equal to 6 * 28 inches is equal to 168 inches.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "168 inches / 12 = 14 feet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "length of wire equals 14 feet either way.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |