Answer:
x < 2.5
Step-by-step explanation:
Allen has already run 3 hours and will run x amount more to finish. This is 3+x. He must finish under or less than 5.5 hours. So 3 + x < 5.5. You solve and find x < 2.5.
Answer:
1.33
Step-by-step explanation:
y2-y1/x2-x1
=11+1/-3-6
=12/-9
=-4/3
=1.33
Answer:
The correct option is the first one.
Step-by-step explanation:
We know that 14 men and 24 women applied for a job. So a total of 38 persons applied for that job.
But there are 4 ways a man can be chosen. It can be the first person chosen, the second, the third of the fourth one.
So we know that the number of ways that four people can be selected out of 38 people is 38C4=73,815.
Also the number of ways 3 woman can be selected is 14*24C3 =14*2024 = 28,336.
Then, the probability of randomly selecting a group with 3 women is 28,336/73,815=0.3838
The correct option is the first one.
Answer:
11 hours
Step-by-step explanation:
Setting up a system of equations and using the substitution method will give you the number of hours used by each tap. Let a = time for tap A and b = time for tap B:
a + b = 12 (A and B fill a tank in 12 hours)
a = b - 10 (tap A takes 10 hours less than tap B)
Substitute 'b - 10' for 'a' in the first equation:
b - 10 + b = 12
Combine like terms: 2b - 10 = 12
Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22
Divide by 2: 2b/2 = 22/2
Solve for b: b = 11 hours
8.5x-26.35=-37.35
8.5x=-37.35+26.35
8.5x=-11
X=-11/8.5
X=-1.29
