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LenKa [72]
3 years ago
13

Felix scored 52 and 64 on his first two test in Sociology 212. What must he get on the third test to get an average of the three

test above 70?
Mathematics
1 answer:
Pie3 years ago
4 0

Answer:

Felix's third test score must be greater than 94

Step-by-step explanation:

Felix scores on Sociology 212 tests:

1st test - 52

2nd test - 64

3rd test - x

Find the average of Felix's scores:

\text{Average}=\dfrac{\text{The sum of all scores}}{\text{The total number of scores}}\\ \\\text{Average}=\dfrac{52+64+x}{3}

An average of the three test must be above 70, this means

\text{Average}>70\\ \\\dfrac{52+64+x}{3}>70

Solve this inequality. First, multiply it by 3:

52+64+x>210\\ \\x>210-52-64\\ \\x>94

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Answer:

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Step-by-step explanation:

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Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

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Merge:

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Answer:

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Step-by-step explanation:

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