Water hose has filled up 1/7 of a pool after 1/10 of an hour at this rate how many hours will it take to fill the pool
2 answers:
Answer:
It takes of an hour to fill the pool
Step-by-step explanation:
Let x be the number of hours taken to fill the pool.
Using proportion;
1/7 pool= 1/10 hour
1 pool = x
cross-multiply
1/7 x = 1/10
=
cross- multiply
10x = 7
Divide both-side of the equation by 10
=
(On the left-hand side of the equation 10 at the numerator will cancel-out 10 at the denominaor while at the right-hand side of the equation 7 will be divided by 10)
x = of an hour
It takes of an hour to fill the pool
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Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where models the height of the ball in meters and
the time.
Now, let's find the time when the ball Sara kicked hits the ground (this is when
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by :
(4)
This quadratic equation can be written in the form , and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.