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The value of 
x is decreased by 
86%. Which expression represents this situation?

0.86 x

0.14 x

x-0.86

1-0.86 x

The value of x x is decreased by 86% 86 \% . Which expression represents this situation?\newline0.86x 0.86 x \newline0.14x 0.14 x \newlinex0.86 x-0.86 \newline10.86x 1-0.86 x

Full solution

Q. The value of x x is decreased by 86% 86 \% . Which expression represents this situation?\newline0.86x 0.86 x \newline0.14x 0.14 x \newlinex0.86 x-0.86 \newline10.86x 1-0.86 x
  1. Calculate 86%86\% of xx: To represent a decrease of 86%86\% in the value of xx, we need to subtract 86%86\% of xx from xx itself. To find 86%86\% of xx, we multiply xx by xx00.\newlineCalculation: 86%86\% of xx22
  2. Subtract from original value: Now, we subtract the 86%86\% of xx from the original value of xx to represent the decrease.\newlineExpression: x(0.86×x)x - (0.86 \times x)
  3. Simplify expression: We can simplify the expression by factoring out xx. Simplified Expression: x×(10.86)x \times (1 - 0.86)
  4. Calculate coefficient of x: Now, we calculate 10.861 - 0.86 to find the coefficient of xx.\newlineCalculation: 10.86=0.141 - 0.86 = 0.14
  5. Final expression: The final expression representing a decrease of 86%86\% in the value of xx is 0.140.14 times xx.\newlineFinal Expression: 0.14x0.14 x

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