Answer:
B. 96
Step-by-step explanation:
Let x represent score of final third exam.
We have been given that in a given course a student receives preliminary examination grades of 81, 85, and 95.
Let us find average of preliminary scores.

We have been given that the final examination is weighed for one-third and the average of the preliminary grades is weighed as 2/3 of the final grade. This means that final grade is equally weighed into 3 parts. The two parts are 87 each and third part is x.
Using our given information, we can set an equation as:






Therefore, the final examination grade should be 96 for a semester average of 90.
Answer:
No. The last ratio is not written with the values in the same position as the others. It should be 50
10
to be consistent. If the ratio were written this way, then the ratios would all be equivalent . The relationship is proportional.
Step-by-step explanation:
I just did this!
If you add $15 + $27 because that's how much it costs for each student, you get $42. Then you divide $714 by $42, you get 17 and that's how many students are in the class this month.
1:104 because there are 52 cards in a deck and he already drew a king, so double the chances and get 1:104?
Answer:
Dawn has 32 pens.
Step-by-step explanation:
- Let No. of pens Alice has = A
- Let No. of pens Maurice has = M
- Let no of pens Paul has = P
- Let no. of pens Suzy has = S
- Let no of pens Dawn has = D
Given :
- A = 7M
- P = 2/3 (A + S)
- D = P + 12
- S = 1/2 M
- If S = 2 {Given}
- M = 4 [∵ S = 1/2 M → M = 2S = 2X(2) ]
- A = 28 [ ∵ A = 7M → A = 7 x 4 ]
- P = 20 [∵ P = 2/3 (A+S) → P = 2/3 (28 + 2) = 2/3 (30) ]
- D = 32 [ ∵ D = P + 12 → D = 20 + 12 ]