document.write( "Question 72980This question is from textbook Algebra 2
\n" ); document.write( ": i actually have a few questions some aren't really about the topic...a few being 5...\r
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); 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
\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?\r
\n" ); document.write( "\n" ); document.write( "4. Solve: 5x-2 over(/) 3 -x over(/) 4 = 7\r
\n" ); document.write( "\n" ); document.write( "5. 1 over (/) x+3 + 3x over(/) x+2 + 2x+1 over(/) x squared + 5x + 6
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Algebra.Com's Answer #52226 by ankor@dixie-net.com(22740)\"\" \"About 
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?
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\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
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\n" ); document.write( "\"2%2F9\" =\"I%2F1440\"
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\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
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\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)?
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\n" ); document.write( "The relationship of a sulfur weight to the total: 32:(2+32+16) = 32:50
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\n" ); document.write( "\"32%2F50\" = \"S%2F196\"
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\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
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\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
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\n" ); document.write( "\"%287x%29%2F%282x%29\"
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\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
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\n" ); document.write( "Therefore the numbers are: (14*7) and 14(2) or 98 and 28
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\n" ); document.write( "4. Solve: 5x-2 over(/) 3 -x over(/) 4 = 7
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\n" ); document.write( "\"%28%285x-2%29%29%2F3\" - \"x%2F4\" = 7
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\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
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\n" ); document.write( "5. 1 over (/) x+3 + 3x over(/) x+2 + 2x+1 over(/) x squared + 5x + 6
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\n" ); document.write( "The way I understand it:
\n" ); document.write( "\"1%2F%28x%2B3%29+%2B+3x%2F%28x%2B2%29+%2B+%282x%2B1%29%2F%28x%5E2+%2B+5x+%2B+6%29\"\r
\n" ); document.write( "\n" ); document.write( "The last denominator can be factored to the same values as the other 2 denominators:
\n" ); document.write( "\"1%2F%28x%2B3%29+%2B+3x%2F%28x%2B2%29+%2B+%282x%2B1%29%2F%28%28x%2B2%29%28x%2B3%29%29\"
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\n" ); document.write( "(x+3)(x+2) is the common denominator
\n" ); document.write( "\"%281%28x%2B2%29+%2B+3x%28x%2B3%29+%2B+%282x%2B1%29%29%2F%28%28x%2B2%29%28x%2B3%29%29\" = \"%28x+%2B+2+%2B+3x%5E2+%2B+9x+%2B+2x+%2B+1+%29%2F%28%28x%2B3%29%28x%2B2%29%29\" = \"%28+3x%5E2+%2B+12x+%2B+3+%29%2F%28%28x%2B3%29%28x%2B2%29%29\" = \"%28+3%28x%5E2+%2B+4x+%2B+1+%29%29%2F%28%28x%2B3%29%28x%2B2%29%29\"
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\n" ); document.write( "That's about as far as you can go with it\r
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