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Deondra has a loyalty card good for a 
11% discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is 
c, which expression does NOT represent the cost after the discount?

(1-0.11)c

c-0.11 c

11 c

1c-0.11 c

Deondra has a loyalty card good for a 11% 11 \% discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is c c , which expression does NOT represent the cost after the discount?\newline(10.11)c (1-0.11) c \newlinec0.11c c-0.11 c \newline11c 11 c \newline1c0.11c 1 c-0.11 c

Full solution

Q. Deondra has a loyalty card good for a 11% 11 \% discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is c c , which expression does NOT represent the cost after the discount?\newline(10.11)c (1-0.11) c \newlinec0.11c c-0.11 c \newline11c 11 c \newline1c0.11c 1 c-0.11 c
  1. Understand the problem: Understand the problem.\newlineWe need to find which expression does not correctly represent the cost after an 11%11\% discount is applied to the total cost cc.
  2. Analyze given expressions: Analyze the given expressions to determine which one represents the cost after an 11%11\% discount.\newlineThe correct expression for the cost after an 11%11\% discount would be the original cost minus 11%11\% of the original cost.
  3. Evaluate first expression: Evaluate the first expression.\newline(10.11)c(1-0.11)c represents the original cost cc minus 11%11\% of cc, which is a correct representation of the discounted price.
  4. Evaluate second expression: Evaluate the second expression. c0.11cc - 0.11c also represents the original cost cc minus 11%11\% of cc, which is another correct representation of the discounted price.
  5. Evaluate third expression: Evaluate the third expression. \newline11c11c represents 1111 times the original cost, which is not a correct representation of the discounted price. This is an incorrect expression for the discount.
  6. Evaluate fourth expression: Evaluate the fourth expression.\newline1c0.11c1c - 0.11c is essentially the same as the second expression, c0.11cc - 0.11c, and is a correct representation of the discounted price.

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