document.write( "Question 72980This question is from textbook Algebra 2
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document.write( ": i actually have a few questions some aren't really about the topic...a few being 5...\r
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document.write( "1. Two kilograms of iron was melted with 7 kilograms of other metals to make the alloy. If 1440 kilograms of the alloy was required, how many kilograms of iron should be used?\r
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document.write( "2. Charles and Matthew knew that the formula for sulfuric acid was H2SO. If they haad 196 grams of sulfuric acid, what was the weight of the sulfur(H,1; S,32; O,16)?\r
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document.write( "3. The ratio of the two numbers was 7 to 2. When Sir Richard and MArion multiplied the denominator by 10, they found that the result was 84 greater than twice the numerator. What were the numbers?\r
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document.write( "4. Solve: 5x-2 over(/) 3 -x over(/) 4 = 7\r
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document.write( "5. 1 over (/) x+3 + 3x over(/) x+2 + 2x+1 over(/) x squared + 5x + 6 \n" );
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Algebra.Com's Answer #52226 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 1. Two kilograms of iron was melted with 7 kilograms of other metals to make the alloy. If 1440 kilograms of the alloy was required, how many kilograms of iron should be used? \n" ); document.write( ": \n" ); document.write( "the total is 2 + 7 = 9: Relationship of iron to the total: 2:9 \n" ); document.write( "Let I = kilos of iron \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Cross multiply: \n" ); document.write( "9I = 2(1440) \n" ); document.write( "9I = 2880 \n" ); document.write( "I = 2880/9 \n" ); document.write( "I = 320 kilos of iron in 1440 kilos of alloy \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "2. Charles and Matthew knew that the formula for sulfuric acid was H2SO. If they had 196 grams of sulfuric acid, what was the weight of the sulfur(H,1; S,32; O,16)? \n" ); document.write( ": \n" ); document.write( "The relationship of a sulfur weight to the total: 32:(2+32+16) = 32:50 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Cross multiply: \n" ); document.write( "50S = 6272 \n" ); document.write( "s = 6272/50 \n" ); document.write( "s = 125.44 grams of sulfur in 196 grams of H2SO \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "3. The ratio of the two numbers was 7 to 2. When Sir Richard and MArion multiplied the denominator by 10, they found that the result was 84 greater than twice the numerator. What were the numbers? \n" ); document.write( ": \n" ); document.write( "\"The ratio of the two numbers was 7 to 2\" \n" ); document.write( "Let x = the multiplier \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "\"Multiply the denominator (2x) by 10. \n" ); document.write( "Result is 84 greater than twice the numerator (7x)\" \n" ); document.write( "10(2x) = 2(7x) + 84 \n" ); document.write( "20x = 14x + 84 \n" ); document.write( "20x - 14x = 84 \n" ); document.write( "6x = 84 \n" ); document.write( "x = 14 is the multiplier \n" ); document.write( ": \n" ); document.write( "Therefore the numbers are: (14*7) and 14(2) or 98 and 28 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "4. Solve: 5x-2 over(/) 3 -x over(/) 4 = 7 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Multiplying equation by 12 gets rid of the denominators: \n" ); document.write( "4(5x-2) - 3(x) = 12(7) \n" ); document.write( "20x - 8 - 3x = 84 \n" ); document.write( "20x - 3x = 84 + 8 \n" ); document.write( "17x = 92 \n" ); document.write( "x = 92/17 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "5. 1 over (/) x+3 + 3x over(/) x+2 + 2x+1 over(/) x squared + 5x + 6 \n" ); document.write( ": \n" ); document.write( "The way I understand it: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The last denominator can be factored to the same values as the other 2 denominators: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "(x+3)(x+2) is the common denominator \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "That's about as far as you can go with it\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |