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Alex787 [66]
3 years ago
15

Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on

all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020
Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

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A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3
puteri [66]

Answer:

5c + 3(8 - c) = 36

Step-by-step explanation:

A restaurant freezes a cherry and lime juice mixture to create slashes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice.  

Therefore, if there are c quart of cherry juice, then the number of lime juice is (8 - c) quart as the total number of quarts is 8.

Now, the total cost is $36 and therefore, we can write the equation to find the number of quarts of cherry juice is  

5c + 3(8 - c) = 36 (Answer)

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8miles in 1 hour write an expression of the total distance
Brilliant_brown [7]

Answer:

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Nastasia [14]

The value of MPL for the various cases are;

<em><u>A) MPL = 49.98</u></em>

<em><u>B) MPL = 49.8</u></em>

<em><u>C) MPL = 48</u></em>

<em><u>D) MPL = 30</u></em>

We are given;

Q = 50L - 0.01L²

Now MPL means marginal product of labor and it is defined as the derivative of Q with respect to L. Thus;

MPL = dQ/dL = 50 - 2(0.01L)

A) When L = 1;

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MPL = 49.98

B) When L = 10;

MPL = 50 - 2(0.01 × 10)

MPL = 49.8

C) When L = 100

MPL = 50 - 2(0.01 × 100)

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D) When L = 1000

MPL = 50 - 2(0.01 × 1000)

MPL = 30

Read more at; brainly.com/question/14281704

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