A bathtub is filling with water at a rate of 72 inch3/second. The density of water is 0.58 ounce/inch3. How long will it take for the tub to fill with 11,000 ounces of water? Express your answer to the correct number of significant figures. It will take seconds.

Total time to fill the water = 263 second (Approx)

Step-by-step explanation:

Given:

Total amount of water = 11,000 ounces

Density of water = 0.58 ounce/inch³

Rate = 72 inch³/second

Find:

Total time to fill the water

Computation:

Volume = mass / density

Volume of water = 11,000/ 0.58  = 18965.5172 inch³

Total time to fill the water = Volume of water / Rate

Total time to fill the water = 18965.5172 inch³ / 72 inch³/second

Total time to fill the water = 263.409961 second

Total time to fill the water = 263 second (Approx)

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

step-by-step explanation: