Michael has a water pump that will pump water at the rate of 5 gallons per minute. Use a direct variation formula to determine h
2 answers:
Answer: It will remove 100 gallons for water in 20 minutes.
Step-by-step explanation:
The formula use for direct variation :-
, where k is the constant rate of change.
Given : Michael has a water pump that will pump water at the rate of 5 gallons per minute.
Let x be the number of minutes and y be gallons of water it will remove .
For x = 20 minutes and k= 5 in the above formula , we get
Hence, it will remove 100 gallons for water in 20 minutes.
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Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
