Answer:
7 1/2 minutes
Step-by-step explanation:
When the time with both faucets is a submultiple of the time with one faucet, you can use this sort of reasoning to figure the missing time.
Filling the tub in 5 minutes is equivalent to having 3 faucets open, each of which can fill the tub in 15 minutes. Since we know the cold water faucet can fill the tub in 15 minutes, the hot water faucet is equivalent to two open 15-minute faucets. That is, it can fill the tub in 15/2 = 7 1/2 minutes.
_____
Perhaps a more conventional way to approach the problem is to consider "tubs per minute." The cold faucet runs at 1/15 tubs per minute, and the two faucets together run at 1/5 tub per minute. Then the hot runs at ...
(1/5) - (1/15) = (3 -1)/15 = 2/15 . . . tubs per minute
So it will fill 2 tubs in 15 minutes, or 1 tub in 7 1/2 minutes.
Answer:
x=8
Step-by-step explanation:
4.6x-9.3=27.5
+9.3 +9.3
-------------------------
4.6x=35.8
4.6x/4.6 35.8/4.6
x=8
Answer:
The piecewise equation is given as :
Step-by-step explanation:
Let x be the time in hour and A(x) be the amount of accumulating rainfall at time x.
We are given that in the first three hours the rain fell at a constant rate of 25mm per hour
Amount of rainfall in 1 hour = 25
Amount of rainfall in t hours = 25x
The rain then slows down and remains constant
So, Amount of rain for that hour = 
75 mm ; 3
Now we are given that started again at a constant rate of 20 mm per hour for the next two hours.
Amount of rain after 4 hours = 
The rain increases at a rate of 20t from 4 ≤ x ≤ 6.
Hence the piecewise equation is given as :
Answer:
B
Step-by-step explanation:
