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Ne4ueva [31]
2 years ago
15

If 43 of the 148 reams of paper purchased by a department are used, what is the percentage that remains?

Mathematics
2 answers:
Wewaii [24]2 years ago
3 0
100%/x%=148/43
<span>(100/x)*x=(148/43)*x       - </span>we multiply both sides of the equation by x
<span>100=3.44186046512*x       - </span>we divide both sides of the equation by (3.44186046512) to get x
<span>100/3.44186046512=x </span>
<span>29.0540540541=x </span>
<span>x=29.0540540541

</span>now we have: 
<span>43 is 29.0540540541% of 148</span>
dusya [7]2 years ago
3 0
First, calculate how many reams remain
remaining = 148 - 43
remaining = 105
There are 105 reams of paper remains

Second, change 105 reams into percentage
p = \dfrac{105}{148} \times 100 \%
p = \left(\dfrac{105 \times 100}{148}\right) \%
p = \left(\dfrac{10,500}{148}\right) \%
p = 70.945945945...%
to the nearest tenth
p = 70.9%

The percentage of paper remains is approximately 70.9%
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i) it is not possible for the student to receive an A in the class

ii) 119 points

iii) 84points

Step-by-step explanation:

Total exam scores = 350points

homework scores of 7, 8, 7, 5, and 8

Let the third exam score =y

Exam scores = 81, 80, x

i) To know if the student would get an A in class, we would find the third exam score

(Scores received by a student)/ (total scores) = least of the grade percentage to get an A

(7 + 8 + 7 +5 + 8 + 81 + 80 + x)/350 = 0.9

(196+x)/350 = 0.9

196+x = 350 × 0.9

196+x = 315

x = 315-196

x = 119

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Since the maximum grade for each of the exam score is 100points, it is not possible for the student to receive an A in the class.

ii) Since the least of the grade percentage that would guarantee an A is 0.9, the minimum score on the third exam that will give an A = 119points

iii) (Scores received by a student)/ (total scores) = least of the grade percentage to get a B

(7 + 8 + 7 +5 + 8 + 81 + 80 + x)/350 = 0.8

(196+x)/350 = 0.8

196+x = 350 × 0.8 = 280

x = 280-196

x = 84

The minimum score on the third exam that will give a B = 84points

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