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Agata [3.3K]
3 years ago
10

NEED HELP ASAP. By what percent will a fraction change if its numerator is decreased by 30% and its denominator is decreased by

20%?
Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer:

0.7x/0.8y = x/y * 0.7/0.8 = x/y * 0.875

So the fraction is reduced by 12.5%

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What is the sum of the geometric series in which a1 = −5, r = 3, and an = −405?
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a_1=-5;\ r=3;\ a_n=-405\\\\a_n=a_1r^{n-1}\\\\subtitute\\\\-5\cdot3^{n-1}=-405\ \ \ |divide\ both\ sides\ by\ (-5)\\\\3^{n-1}=81\\\\3^{n-1}=3^4\iff n-1=4\to n=5\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_5=\dfrac{-5(1-3^5)}{1-3}=\dfrac{-5(1-243)}{-2}=\dfrac{5\cdot(-242)}{2}=5\cdot(-121)=-605\\\\\\Answer:\boxed{S_5=-605}
4 0
3 years ago
Plz help ASAP! I will mark brainliest if correct
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A = L^2
A = L^2 = 2^2 + 4^2 (Pythagorean’s theorem)
A = L^2 = 20
Therefore the area of the square is 20 units square.
5 0
3 years ago
Read 2 more answers
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