Answer:
(-13, -4)
Step-by-step explanation:
It is about as easy to try the solutions as it is to find them from scratch.
__
However, we can determine which one it is by adding twice the second equation to the first.
(-2a +3b) +2(a -4b) = (14) +2(3)
-5b = 20
b = -4 . . . . . . matches the first choice
The answer your looking for is 30
30 ÷ 5 = 6
The balloon has a volume
dependent on its radius
:

Differentiating with respect to time
gives

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

The surface area of the balloon is

and differentiating gives

so that at the moment the radius is 3 m, its area is increasing at a rate of

Answer:
36 runners finished the race.
Step-by-step explanation:
In the first half of the race, 1/4 of them dropped, so we need to calculate 1/4 of 80:
(1/4) * 80 = 80/4 = 20
If 20 runners dropped out, now we have 80 - 20 = 60 runners.
Then, in the second half, 2/5 of the remaining runners dropped out, so:
(2/5) * 60 = 2*60/5 = 120/5 = 24
If 24 runners dropped out, now we have 60 - 24 = 36 runners.
So, 36 runners finished the race.
Answer:
7
Step-by-step explanation:
3:5 + 7 = 10:12
10:12 when shortened is 5:6