Suppose that you are given that the sale price of an item is $54.32. this was after applying a store wide 10% discount and then a coupon discounting the item by 5%. given this information, determine the original price of the sale item. round your answer to the nearest cent. a. $60.36 c. $63.53 b. $57.18 d. $59.32

Answer with Step-by-step explanation:

Let original price=x

Applying a storewide 10% discount

Price of item=

                     = 0.90x

Applying 5% discount of coupon

Price of item=

                     = 0.95×0.90x

                     = 0.855x

⇒ 0.855x=54.32

⇒ x= 63.53

Hence, Original price of item is:

c. $ 63.53

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted