document.write( "Question 1175100: A 6 inch personal pizza has 590 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza. Hint... must use Area = Pi*r^2 proportions to solve this problem.. DO NOT SOLVE BY PIECE.\r
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document.write( " calories\r
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document.write( "Round your answer to the nearest calorie. \n" );
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Algebra.Com's Answer #800664 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "I will guess that you are showing the problem exactly as it was given to you; so the blame for the awful presentation of the problem is not on you.... \n" ); document.write( "\"Hint... must use Area = Pi*r^2 proportions to solve this problem..\" \n" ); document.write( "Absolutely untrue. You don't need to know the formula for the area of a circle. \n" ); document.write( "\"DO NOT SOLVE BY PIECE.\" \n" ); document.write( "I won't try to guess what that means.... \n" ); document.write( "--------------------------------------------------- \n" ); document.write( "The 6 inches and 12 inches are (presumably!) the diameters of the two pizzas. \n" ); document.write( "Consider the two pizzas as similar figures with a ratio of similarity of 2:1. By a basic geometric principle, the ratio of the areas of the two pizzas is the square of that ratio. So the area of the 12 inch pizza is 2^2=4 times the area of the 6 inch pizza. \n" ); document.write( "The number of calories in the 6 inch pizza is 590. \n" ); document.write( "The number of calories in the 12 inch pizza is 590*4 = 2360. \n" ); document.write( "If the 12 inch pizza is cut into 8 (equal) slices, the number of calories in one slice is 2360/8 = 295. \n" ); document.write( "ANSWER: 295 calories in one slice of the 12 inch pizza. \n" ); document.write( " \n" ); document.write( " |