The time, t, required to empty a tank varies inversely as the rate, r, of pumping. if a pump can empty a tank in 2.5 hours at a rate of 400 gallons per minute, how long will it take to empty a tank at 500 gallons per minute?

Variation can be direct, inverse and joint.

It will take 2 hours to empty the tank at a rate of 500 gallons per minutes

Let time be represented with t, and r represent rate.

The inverse variation is represented as:

Represent as an equation

Make k the subject

When t = 2.5 and r = 400, we have:

When r = 500, we have:

Divide both sides by 500

Rewrite as:

Hence, it will take 2 hours to empty the tank at a rate of 500 gallons per minutes

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a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)