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3 years ago

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Mathematics

2 answers:

pickupchik [31]3 years ago

5 0

-1/8
1. ) 3/4 becomes 6/8
2. ) -7 + 6 = -1

STALIN [3.7K]3 years ago

5 0

First, make the denominators the same. To do that, you times it by 2. 3/4 x 2 = 6/8. Now you can do your fraction math. -7/8 + 6/8 = -1/8 or -0.125

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Let us take the second equation first
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Answer: The average of the first two test scores is 97.

Step-by-step explanation: Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.

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Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.

Then, according to the given information, we have

$\dfrac{a1+a2+a3+a4+a5}{5}=94\\\\\Rightarrow a1+a2+a3+a4+a5=94\times5\\\\\Rightarrow a1+a2+a3+a4+a5=470~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

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Subtracting equation (ii) from equation (i), we get

$(a1+a2+a3+a4+a5)-(a3+a4+a5)=470-276\\\\\Rightarrow a1+a2=194\\\\\Rightarrow \dfrac{a1+a2}{2}=\dfrac{194}{2}\\\\\Rightarrow \dfrac{a1+a2}{2}=97.$

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