Activity Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.

Complete the following steps to help Rylee find the net change to her banking account balance.

Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.

Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.

Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.

Part E
Simplify the expression in part D to find the net change in Rylee’s bank account balance. Express your answer as a decimal number.​

A)

Rylee bought $36.50 in clothes. This money is leaving her bank account, so represent the amount with a negative sign: -$36.50.

The tax on her purchase is 8%, so the tax amount is 0.08 × -$36.50. The expression that represents the net change in her bank account is -$36.50 + (0.08 × -$36.50).

Further simplify the expression by factoring -$36.50 from both terms:

-$36.50 + (0.08 × -$36.50)

=

-$36.50(1 + 0.08)

=

-$36.50(1.08).

B)

Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.

C)

The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign:
-$23.50.

Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is
-$23.50 – (-$23.50 × 0.2).

Further simplify the expression by factoring -$23.50 from both terms:


-$23.50 – (-$23.50 × 0.2)  = -$23.50(1 – 0.2)

             = -$23.50(0.8).

D)

clothing store:

-$36.50(1.08) or -$36.50 + (0.08 × -$36.50)

gas station:

-$25

grocery store:

-$23.50(0.8) or -$23.50 – (-$23.50 × 0.2)

After adding the three expenses:

-36.5 + (-36.5)(0.08) + (-25) + (-23.5) − (-23.5)(0.2) or

(-36.5)(1.08) + (-25) + (-23.5)(0.8).

E)

(-36.5)(1.08) + (-25) + (-23.5)(0.8) = -$83.22

enjoy :)

5104.38 inches

step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer