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Crazy boy [7]
3 years ago
10

Alice's average mark for 4 Science exams is 68%. Can Alice score enough marks in a fifth exam so that her average mark increases

to 75?%? Give reasons.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0

Answer:

It is not possible for Alice to score an average of 75% because what she needs to score in the fifth exam exceeds the maximum possible score.

Step-by-step explanation:

She scored an average 68% in all 4 exams.

This means; (68% + 68% + 68% + 68%)/4

Now, a fifth exam is added and we want to know if her average can now be 75%.

Thus, let the score in the 5th exam be x and we now have;

(68% + 68% + 68% + 68% + x)/5 = 75%

Multiply both sides by 5 to get;

(68% + 68% + 68% + 68% + x) = 375%

272% + x = 375%

x = 375% - 272%

x = 103%

The maximum score is 100% and therefore it is impossible for her to score 103%. Therefore it is not possible for Alice to score an average of 75%

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What is the value of y?
NNADVOKAT [17]

Answer:

y = 40

Step-by-step explanation:

Lets make an equation to represent the sum of the angles:

We know that the sum of angles of triangles equals 180 degrees. So based on this knowledge, the equation is :

2y + y + 10 + 50 = 180


Now we simplify:

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10 + 50 = 60


So our new equation is 3y + 60 = 180

Now all we have to do is simplify:

3y + 60 = 180

3y + 60 -60 = 180 - 60

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So the answer is 40 hope this helped


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6 0
3 years ago
Read 2 more answers
How do I solve f+4/g=6 for f showing my work
V125BC [204]

We have two solutions for this problem based on the given equation.


<u><em>Answer #1:</em></u>

<u>If the given equation was:</u>

f + \frac{4}{g} = 6


To solve for f, we would need to isolate the "f" on one side of the equation.

In case of the above equation, we can simply do that by subtracting \frac{4}{g} from both sides of the equation

<u>This would give:</u>

f + \frac{4}{g} - \frac{4}{g} = 6 - \frac{4}{g}

f = 6 - \frac{4}{g}


<u><em>Answer #2:</em></u>

<u>If the given equation was:</u>

\frac{f+4}{g} = 6


To solve for f, we would still need to isolate the "f" on one side of the equation.

<u>This can be done as follows:</u>

\frac{f+4}{g} = 6 ................> multiply both sides by (g)

f + 4 = 6g ................> subtract 4 from both sides of the equation

f + 4 - 4 = 6g - 4

f = 6g - 4


Hope this helps :)

6 0
3 years ago
Read 2 more answers
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