If Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes, then the tank will be filled with 4.8 gallons of water after 3 minutes.
As per the question statement, Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes.
We are required to calculate the volume of water in gallons, that will be filled in the above mentioned tank after 3 minutes.
Here, it is given that, the tank gets filled with 0.8 gallons of water in 0.5 minutes, and that, the water flows into the tank at a constant rate.
So first, let us calculate the water flow rate into the tank per minute, that is, [(0.8 * 2) = 1.6 gallons] per minute, since [(0.5 minutes * 2) = 1 minute]
Therefore, the tank will get filled with [(1.6 * 3) = 4.8 gallons] of water in 3 minutes, if the water inflow rate is 1.6 gallons per minute.
- Gallons: A gallon (gal) is a measuring unit for volume and capacity, typically used by the U.S. customary and earlier by the British Imperial Systems of Measurement, with 1 US gallon being equal to 3.785411784 Litres, and 1 imperial gallon being equal to 4.54609 L.
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Answer:
Step-by-step explanation:
Convert 2y=-3x+2 into y=mx+b form
Y intercept is 1, slope is -3/2
Graph looks like this:
Y = X/2 is directly proportional
Y = 2/X is not directly proportional
Hope this helps! :)
Answer:
The distance between the ships is changing at 42.720 kilometers per hour at 4:00 PM.
Step-by-step explanation:
Vectorially speaking, let assume that ship A is located at the origin and the relative distance of ship B with regard to ship A at noon is:
Where and are the distances of ships A and B with respect to origin.
By supposing that both ships are travelling at constant speed. The equations of absolute position are described below:
Then,
The rate of change of the distance between the ship is constructed by deriving the previous expression:
Its magnitude is determined by means of the Pythagorean Theorem:
The distance between the ships is changing at 42.720 kilometers per hour at 4:00 PM.