Greg purchased supplies for a party. he had a coupon good for 30% off. he purchased a helium tank rental with an original price of $31.61, a sheet cake with an original price of $18.44, a punch bowl with an original price of $12.78, and paper decorations with an original price of $23.69. greg’s total came to $80.99. to which item did greg apply his coupon? a. cake b. helium tank rental c. paper decorations d. punch bowl

option (A) cake

Step-by-step explanation:

Greg purchased supplies for a party

He purchased Helium tank costing = $31.61

purchased a sheet cake = $18.44

purchased a punch bowl costing = $12.78

purchased paper decorations = $23.69

Greg's total  came  = 80.99

It was different from the total of original prices because he used a discount coupon of 30% on one of his item purchased.

We have to find the item on which coupon was applied.

Total of all items with original prices (without discount coupon)

= 31.61 + 18.44 + 12.78 + 23.69 = $86.52

Total of all items after the discount coupon was applied was = $80.99

so, the difference price = 86.52 - 80.99 = $5.53

This difference is 30% of one of the item, and that item is sheet of cake

⇒ $18.44 × 30% = $5.53

Therefore, option (A) cake is the answer.

answer: 32.68

step-by-step explanation:

x=2

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15