Ashley is the utilities manager at a paper mill. she’s watching over one of her holding tanks. it takes 4/5 of an hour to fill 1/2 the tank. at this rate, how many holding tanks will she fill in 1 hour?

she will fill 5/8 of the tank in 1 hour

Step-by-step explanation:

Ashley is the utilities manager at a paper mill. She’s watching over one of her holding tanks. It takes 4/5 of an hour to fill 1/2 the tank

First we convert 4/5 of an hour in to minutes

4/5 * 60 = 48 minutes

In 48 minutes ----> 1/2 tank filled

In 60 minutes ----> 60 * 1/2 divide by 48

30 divide by 48=

Simplify the fraction by dividing top and bottom by 6

30/48 = 5/8

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