Each junior receives 93 score on the test. It is also the average score of the juniors.
Given Information
It is given that 10% of the strength of the class consists of juniors and 90% consists of seniors.
Let us assume the total strength of the class is 100, then,
Number of seniors = 90
Number of juniors = 10
It is also given that the average score of the class = 84
And, average score of the seniors = 83
Another given information is that all the juniors all received the same score, which is their average score. Let it be x.
Average Score of Juniors
Total marks obtained by the seniors = Number of seniors × Average score of seniors
= 90 × 83
= 7470
Total marks obtained by the juniors = Number of juniors × Average score of juniors
= 10x
Average marks on the test = Total marks / Total number of students
⇒ 84 = (7470 + 10x)/100
⇒ 84 × 100 = 7470 + 10x
⇒ 10x + 7470 = 8400
⇒ 10x = 8400-7470
⇒ 10x = 930
⇒ x = 930/10
⇒ x = 93
Thus, each junior scores 93 on the test.
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First multiply them out to improper fractions 1 3/5 changes into 8/5 and 1 2/5 changes into 7/5 multiply them out and you should get 2 6/25.
Answer:
Step-by-step explanation:
first step: 0.5 * x
second step: 3* (0.5x) = 1.5x
third step: (1.5x)^2
fourth step: (1.5x)^2 + 1 = 50
(1.5x)^2 + 1 = 50 Subtract 1 from both sides
(1.5x)^2 = 49 Take the square root of both sides
1.5x = sqrt(49)
1.5x = +/- 7
1.5x = +7
x = 7/1.5
x = 4.67
1.5x = - 7
x = - 7 / 1.5
x = - 4.67
Answer:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side. If you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. If that is not true, then it is not possible to construct a triangle with the given side lengths.
Step-by-step explanation:
Answer: with 133.33 acres of trees
Step-by-step explanation:
4 acres of trees, is a 97% decrease of the previous amount.
This means that if the previous amount was X, then 4 acres is 3% (or 0.03 in decimal form) of X, or:
4 acres = 0.03*X
Now we can solve this for X as:
X = 4acres/0.03 = 133.33 acres
The illegal loggers got away with 133.33 acres of trees
