Two water pumps are filling a pool. one of the pumps is high power and can fill the pool 5 hours before the other can do. however, they both working together can fill half of the pool in 3 hours. in how many hours the high power pump can fill the pool?

The high power pump can fill the pool in 10 hours.

Step-by-step explanation:

Let the high power pump fill the pool in x hours, then the other pump will fill the pool in (x + 5) hours.

Now, as given they together fill half of the the pool in 3 hours. So,

But, time can not be negative. So, x = 10 hours

Therefore, The high power pump can fill the pool in 10 hours.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: two angles are called supplementary if they add up to 180°. example: the two angles (140° and 40°) are supplementary because they add up to 180°.

step-by-step explanation: