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.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5