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viva [34]
3 years ago
8

Izzy had an 82 and an 88 on his first two tests and believed that he did well enough on his final exam to keep his B average.​ H

owever, when he got his grade he received a D. He checked with his instructor and learned that the instructor had made a mistake by transposing the digits when he recorded the final exam grade. If​ Izzy's incorrect average​ (mean) for the class was 69​, what was his correct final exam​ score?
Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0

Answer:

73

Step-by-step explanation:

to find the mean you need to add up all grades and divide if by the number of terms you added

(82 + 88 + x) ÷ 3 = 69 (since we don't know the third grade let's call it x)

170 + x = 69 × 3

x = 37

if the digits transposed the the actual grade would be 73

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Write "100 decreased by a number k" as an algebraic expression.
shtirl [24]
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What is the additive of p when p = -19.57​
scoray [572]

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4 years ago
5x + 3y = -2
tamaranim1 [39]

Answer:

x = -1 , y = 1

Step-by-step explanation:

Solve the following system:

{5 x + 3 y = -2 | (equation 1)

3 x + 2 y = -1 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x + 3 y = -2 | (equation 1)

0 x+y/5 = 1/5 | (equation 2)

Multiply equation 2 by 5:

{5 x + 3 y = -2 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{5 x+0 y = -5 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 5:

{x+0 y = -1 | (equation 1)

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Collect results:

Answer: {x = -1 , y = 1

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3 years ago
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