Lanee purchased a briefcase online. the total bill of $95.68 included a $5.25 shipping charge and 5% tax on the purchase. if lanee used a $5 off promotional code that was applied before tax, how much was the original price of the briefcase?

Original price of briefcase = 91.12 $

Step-by-step explanation:

Let p the original price of briefcase.

Lanee used a $5 off promotional code that was applied before tax

Price after discount = p - 5

The total bill of $95.68 included a $5.25 shipping charge and 5% tax on the purchase.

Delivery charge = 5.25 $

Total price = 95.68 $

Total price = Price after discount + Tax after discount + Delivery charge

95.68 = p - 5 + 0.05p-0.25 + 5.25

1.05p = 95.68

p = 91.12 $

Original price of briefcase = 91.12 $

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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