The value of x is decreased by 18%. Which expression does NOT represent this situation? 0.82 x 0.82 1x-0.18 x (1-0.18)x

Question

The value of  x is decreased by  18%. Which expression does NOT represent this situation?  0.82 x 0.82  1x-0.18 x  (1-0.18)x

Bytelearn · Accepted Answer

Subtract 18% from value: To decrease a value by 18%, we subtract 18% of the value from itself. This can be represented as x - 0.18x or (1 - 0.18)x. Let's check each option to see which one does not represent a decrease of 18%.Check first option: The first option is 0.82x. To check if this represents an 18% decrease, we can see that 1 - 0.18 = 0.82. Therefore, 0.82x does represent x decreased by 18%.Check second option: The second option is just 0.82 without any x. This does not represent a decrease of x by 18% because it does not include the variable x. It is just a number, not an expression involving x.Check third option: The third option is 1x - 0.18x. This can be simplified to x - 0.18x, which is the same as (1 - 0.18)x. This does represent a decrease of x by 18%.Check fourth option: The fourth option is (1 - 0.18)x. Simplifying the expression inside the parentheses gives us 0.82x, which, as we have already determined, represents a decrease of x by 18%.

The value of $x$ is decreased by $18 \%$ . Which expression does NOT represent this situation? $\newline$ $0.82 x$ $\newline$ $0$ . $82$ $\newline$ $1 x-0.18 x$ $\newline$ $(1-0.18) x$

Full solution

More problems from Compare percents to each other and to fractions

Related topics

The value of x x x is decreased by 18% 18 \% 18%. Which expression does NOT represent this situation?\newline0.82x 0.82 x 0.82x\newline000.828282\newline1x−0.18x 1 x-0.18 x 1x−0.18x\newline(1−0.18)x (1-0.18) x (1−0.18)x

The value of $x$ is decreased by $18 \%$ . Which expression does NOT represent this situation? $\newline$ $0.82 x$ $\newline$ $0$ . $82$ $\newline$ $1 x-0.18 x$ $\newline$ $(1-0.18) x$