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Vesnalui [34]
3 years ago
13

Find an equation of variation in which y varies directly as x and y=420 when x= 100. Then find the value of y when x=11.

Mathematics
1 answer:
sweet [91]3 years ago
4 0
Let's Simplify X to equal 1 by dividing by 100. then we divide 420 by 100 to get 4.2, so y=4.2 when x=1, we then multiply by each by 11.

y = 46.2
x = 11
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What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6
Kaylis [27]

9514 1404 393

Answer:

  13

Step-by-step explanation:

Let n represent that number.

  (2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator

  6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)

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Adding 13 to each term will give 5/6.

__

<em>Check</em>

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_____

<em>Alternate solution</em>

The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.

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