1. The hot-water tank in Rafael's house holds 17x + 11 gallons of hot water. Rafael used 4x + 1 gallons of hot water washing the dishes. Which of the following binomials represents the number of gallons of hot water remaining in the tank?

13x + 10

Step-by-step explanation:

Rafael's hot-water tank holds:

Gallons of hot water.

Rafael used:

Gallons of hot water.

And we want to determine which binomial represent the amount of hot water remaining in the tank.

The amount remaining R in the tank will be the amount taken by Rafael subtracted from the total amount. Hence:

Simplify. Distribute:

Rearrange:

Evaluate:

In conclusion, 13x + 10 gallons remain in the tank.

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.