document.write( "Question 564756: The camera has 10.1 million pixels. The product of the pixels across the screen times the pixels up the screen gives the number of pixels the camera has. The ratio of pixels across the screen to pixels up the screen is 4 : 3. How many pixels does this camera have across the screen? Explain what you are calculating as you solve the problem. \n" ); document.write( "
Algebra.Com's Answer #852279 by n3(2) ![]() You can put this solution on YOUR website! . \n" ); document.write( "I am @ikleyn. Hello again. \n" ); document.write( "This 'n3' is my third nickname, which I created to place here my response to Edwin's objections. \n" ); document.write( "-------------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In his post, Edwin writes \"Ikleyn is convinced that there are no exceptions to the \"round up and down rule\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I never said that. Edwin attributes here this statement to me, but I never made this statement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "In my previous post i PROVED that \r\n" ); document.write( "\r\n" ); document.write( " - the pair (3670,2752) provides the product, i.e. the number of pixels, \r\n" ); document.write( " which is less than 10.1 millions, so these dimensions fit to the problem;\r\n" ); document.write( "\r\n" ); document.write( " - the pair (3759,2752) provides lesser product, i.e. lesser number of pixels,\r\n" ); document.write( " than 10.1 millions, so we need to reject this pair;\r\n" ); document.write( "\r\n" ); document.write( " - the pair (3759, 2753) provides greater product, i.e. greater number of pixels\r\n" ); document.write( " than 10.1 millions, so we need to reject this pair, too.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus, I proved numerically, that my pair (3670,2752) is the best approximation for 10.1 millions pixels\r\n" ); document.write( "from the bottom, comparing to other possible pairs, and THEREFORE this pair (3670,2752) is the UNIQUE solution\r\n" ); document.write( "to this problem, giving 3670 as the UNIQUE possible correct answer to the problem.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The exceptions Edwin speaks in his post are irrelevant to my reasoning.\r\n" ); document.write( "The logic of my solution overcomes his argument.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "I simply showed/proved that 3670 pixel across and 2752 pixel up FIT the restriction of 10.1 million pixels\r\n" ); document.write( "and is the best possible approximation to 10.1 million pixels in this problem.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " +----------------------------------------------------------------+\r\n" ); document.write( " | My statement is that 3670 is correct answer to this problem, |\r\n" ); document.write( " | while 3669 is not. |\r\n" ); document.write( " +----------------------------------------------------------------+\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "And this is all that I state. This is all that I proved.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Looking on the way, as Edwin makes the discussion with me, I see repeating pattern.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Edwin attributes me some statement, which I never did, and then disprove this statement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This method conducting discussion is well known from the time of ancient Greece, \n" ); document.write( "and it is called DEMAGOGY.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Demagogy is a DISHONEST and UNACCEPTABLE way to conduct a discussion. \n" ); document.write( "It's sad to me to see as Edwin applies it in our discussion again and again.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But it seems that Edwin no longer insists that his solution, \" 3669 pixels across the camera \" is correct ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perhaps, Edwin will admit that the correct answer is \" 3670 pixels across the camera \" ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then we, finally, will be able to complete this discussion . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |