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Tanya [424]
3 years ago
5

Josephine is taking a college course, and her professor bases the course grade on the average of 2 tests taken in the semester.

She wants to know what she needs to earn on the last test to maintain her grade. Rearrange the following equation for b, where A is the average of 2 test scores, a and b.
A equals the quantity a plus b all over two

b equals two times A over a
b = 2A + a
b = 2A − a
b = 2A(a)
Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0

b = 2A - a

a + b = 2A

(a + b)/2 = A

Free_Kalibri [48]3 years ago
6 0
<h2>Answer:</h2>

The equation for  b is given by:

              b=2A-a

<h2>Step-by-step explanation:</h2>

It is given that:

A denotes the average score of the two test taken in the semester.

The two test that are taken have a score as a and b.

Now the average score A in terms of a and b is given by:

A=\dfrac{a+b}{2}

Now, on solving for b from this equation:

Firstly we multiply both side by 2.

i.e. we have:

a+b=2A

Now on subtracting both side by a we have:

b=2A-a

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The first thing we must do for this case is to find the relationship between the variables.

We have then:

AB = DC\\4y - 2 = 2y + 6

From here, we clear the value of "Y":

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y = \frac{8}{2}\\y = 4

On the other hand we have:

AD = BC\\3x - 1 = 2x + 2

From here, we clear the value of "x":

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On the other hand:

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Finally, the perimeter is given by:

P = AB + DC + AD + BC

Substituting values we have:

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Answer:

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44 units

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