Margo is 8 years older than her brother Dan. The sum of their ages is 44. How ol
ID: 3102281 • Letter: M
Question
Margo is 8 years older than her brother Dan. The sum of their ages is 44. How old is Dan?If m varies directly as p, and m=20 when p=5, find m when p is 6.
If x varies inversely as v, and x=63 when v=4, find x when v=36.
If F varies jointly as q^2 and h, and f=144 when q=4 and h=3, find q when f=60 and h=5
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Decide whether or not the ordered pair is a solution of the equation.
x-y=4;(2,7)
2x+y=6;(2,2)
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Find the slope of the line through the points
(9,1) and (7,8)
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Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the equation P=136n-8000, where n is the number of hard drives sold. Estimate the profit, to the nearest ten dollars, corresponding to the sale of 775 hard drives.
Explanation / Answer
If you simply subtract 8 from 44, you should get 36, but that does not help in solving this problem. You need to simply make up an equation to figure out your answer, but your equation will not be 8 + x = 44 because x would equal 36 which doesn't help. Think of sums that equal 44. 24 + 20, 28 + 16, 26 + 18, etc. Of the sum examples I just gave, which one proves that Margo is 8 years older than her brother Dan? The answer is 26 + 18, but the question is "How old is her brother Dan? The solution to this question is 18. To check it, solve the equation 26 + x = 44.