Answer:
The answer is below
Step-by-step explanation:
Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.
n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x
n(B∩F∩V) = 20% of x = 0.2x
n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x
n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x
n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x
n(B∪F∪V)' = 8
n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82
n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77
n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125
Therefore:
x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'
x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8
x = 2.1166x - 134
1.1166x = 134
x = 120
Therefore there was 120 students
5.76 cups of lemonade. 1.6x3.6
Which of the following is NOT discussed in this excerpt?
A.
One can follow certain steps to learn to improve the quality of one’s life.
B.
Men are too easily lured by monetary gain.
C.
Authors have not addressed how humankind should earn a living through their literature.
Answer:
1.8571428 hours
Step-by-step explanation:
Given that :
Price of stock A at 9 am = $12.53
Rate of increase = $0.12 per hour
Price of stock B at noon = $13.28
Rate of Decrease = $0.09 per hour
Let number of hours = x
Price of stock A at noon :12.53 + 0.12(3) = 12.89
12.89 + 0.12x = 13.28 - 0.09x
0.12x + 0.09x = 13.28 - 12.89
0.21x = 0.39
x = 0.39 / 0.21
x = 1.8571428
Hence the prices of the stock will be the at about 1.857 hours
Answer:
11.6 miles
Step-by-step explanation:
4.3 miles + 1.7 miles + 5.6 miles = (4.3+1.7+5.6)miles
= 11.6 miles
