document.write( "Question 1199115: Last question for today. \r
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document.write( "The screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in 4 : 3 format, meaning the ratio of the length to the width of the rectangular screen is 4 to 3. What is the area of a 37-inch Traditional TV screen? What is the area of a 37-inch LCD TV whose screen is in a 16 : 9 format? Which screen is larger? \r
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document.write( "Hint given but the textbook:\r
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document.write( "If x is the length of a 4 : 3 format screen, then (3x/4)is the width.\r
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document.write( "Let me see.\r
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document.write( "I know what x represents. I will say let y = length of a 16 : 9 format screen. If this is true, then 9y/16 is the width. \r
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document.write( "My set up for x goes like this: \r
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document.write( "37 = x(3x/4)\r
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document.write( "Solving for x, I get 7.024.\r
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document.write( "My set up for y goes like this:\r
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document.write( "37 = y(9y/16)\r
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document.write( "Solving for x,I get 8.11035.\r
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document.write( "I see that y > x,meaning the LCD TV screen format is bigger.
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document.write( "However, according to the textbook,I am wrong.\r
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document.write( "Textbook Answer:\r
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document.write( "The screen of a 37-inch TV in 4 : 3 format has an area of 657.12 in^2.
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document.write( "The screen of a 37-inch TV in 16 : 9 format has an area of 587.97 in^2.
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document.write( "According to the textbook, the traditional TV has the bigger screen.\r
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document.write( "Questions:\r
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document.write( "1. What did I do wrong?\r
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document.write( "2. What is the correct set up for each TV to find the area?\r
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document.write( "3. I have a hard time setting up the correct equation(s) leading to the right answer for most word problems. How can I improve my word problem-Solving skills?.\r
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document.write( "Thanks \n" );
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Algebra.Com's Answer #832812 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this my post, I will answer only the LAST your question: how to improve your skills solving word problems.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Go to web-page \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the front page of the textbook Algebra-I, which I prepared at this forum for common use,\r \n" ); document.write( "\n" ); document.write( "for everybody to learn from.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The right half of this page is for word problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, click on every relevant link and go in depth, step by step and click by click, until you get real problems on the subject/topic you want.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read and learn from there.\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( "There are three ways to learn Math:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " (a) Learn from good teachers;\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " (b) Read from good sources;\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " (c) Solve problems from good problem books.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Each of these listed ways is good, but they are even better in combinations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I mean: in any combination.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |