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. what is her net change

The total charge to her account balance is $83.22

Step-by-step explanation:

We are told that she initially spends $36.50 at the clothing store plus 8% tax.

8% of $36.50 is:

8 / 100 * 36.50 = $2.92

Her total spending at the clothes store is therefore

$36.50 + $2.92 = $39.42

She then spend $25 to refuel her car.

She then bought groceries worth $23.50 and handed over a coupon for a 20% discount on her purchase.

20% discount means 20% of her cost was deducted from what she was supposed to pay and she only paid 80% of the amount she was supposed to pay.

80% of $23.50 is:

80 / 100 * 23.50 = $18.80

Therefore, her total cost (change in her account balance) is:

$39.42 + $25 + $18.80 = $83.22

The total charge to her account balance is $83.22.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: