He would need a 93% on his fourth exam.
94+89+96+93= 372, 372 divided by 4= 93
Answer:
93,675
Step-by-step explanation:
We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.
The number of terms in the sequence (n) can be found from the formula for the n-th term:
an = a1 +d(n -1)
(an -an)/d +1 = n
(252 -997)/(-5) +1 = n = 150
The sum of these terms is the average of the first and last terms, multiplied by the number of terms:
S150 = (997 +252)/2·150 = 93,675
The sequence sum is 93,675.
Answer:
= 12 cm^3
Step-by-step explanation:
V = Bh where B is the area of the base and h is the height
For a triangular prism, the base is the triangle
A = 1/2 bh for the triangle
= 1/2 (6*2)
= 6 cm^2
To find the volume for the triangular prism
V = Bh
= 6 * 2
= 12 cm^3
Answer:
30 feet
Step-by-step explanation:
A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,
original mast height = 40 feet
4 * x = original mast height = 40 feet
divide both sides by 4 to get x
x = 10 feet
3 * x = mural mast height = 3 * 10 feet = 30 feet
(a) 50%
(b) 17%
Explanation:
(a)
No. of seniors = 54 + 46 = 100
Total No. = 66 + 34 + 54 + 46 = 200
% of seniors = 100/200 x 100% = 1/2 x 100% = 50%
(b)
No. of juniors that do not have a job = 34
Total No. = 66 + 34 + 54 + 46 = 200
% of juniors that do not have a job = 34/200 x 100% = 17/100 x 100% = 17%
