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Setler [38]
3 years ago
15

Karl earned scores of 58, 88, 80, and 70 on his first 4 Chemistry tests. What is the minimum score he needs to earn on his fifth

test to ensure that his average score for the 5 tests will be at least 75 ?
Mathematics
2 answers:
OLga [1]3 years ago
8 0

Answer:

79

Step-by-step explanation:

(58+88+80+70+ x)/5=75

75*5=296x

375=296x

x=375-296

x=79

vichka [17]3 years ago
8 0

Answer: 50

Step-by-step explanation:

First let's set up an equation by calling the score he needs to get, x:

\frac{58 + 88 + 80 + 70 + x }{5} = 75

58 + 88 + 80 + 70 + x = 75 x 5

296 + x = 375

x = 79

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Partial fraction decomposition<br> 20x+9/25x^2+20x+4
ozzi

Step-by-step explanation:

We have

\frac{20x + 9}{25 {x}^{2} + 20x + 4 }

Let's factor the denomiator first,

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Now, we must think of two fractions that

\frac{a}{(5x + 2) {}^{2} }  +  \frac{b}{5x + 2}

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So right now, we have

\frac{a}{(5x + 2) { }^{2} }  +  \frac{b}{5x + 2}  =  \frac{20x +9 }{25 {x}^{2} + 20x + 4 }

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so that means that a is

a + (2)(4) = 9

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\frac{1}{(5x + 2) {}^{2} }  +  \frac{4}{5x + 2}

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