4. If \( x \) represents \( 2.8 \% \) of 270 , then which of the following equation would not result in the correct value for (1) \( \frac{x}{270}=\frac{2.8}{100} \) (3) \( x=(0.028)(270) \) (2) \( x=\frac{2.8}{100} \cdot 270 \) (4) \( x=(0.28)(270) \) N-Gen Math* Aucebra I-Unti 6-Exponenthal Aucesan and Fusctions-Lisson 8 eMATHinstruction, RED Hook, NY 12571, O 2022

To determine which equation does not result in the correct value for \( x \), we first need to calculate \( x \) as \( 2.8\% \) of \( 270 \). ### Step 1: Calculate \( x \) The percentage can be converted to a decimal by dividing by \( 100 \): \[ 0.028 = \frac{2.8}{100} \] Now, we can calculate \( x \): \[ x = 0.028 \times 270 \] ### Step 2: Evaluate Each Equation 1. **Equation (1)**: \[ \frac{x}{270} = \frac{2.8}{100} \] This equation is equivalent to \( x = 270 \times \frac{2.8}{100} \), which is correct. 2. **Equation (2)**: \[ x = \frac{2.8}{100} \cdot 270 \] This is the same as the previous equation and is correct. 3. **Equation (3)**: \[ x = (0.028)(270) \] This is also correct as it directly calculates \( x \). 4. **Equation (4)**: \[ x = (0.28)(270) \] This equation is incorrect because \( 0.28 \) is not the correct decimal representation of \( 2.8\% \). The correct decimal is \( 0.028 \). ### Conclusion The equation that does not result in the correct value for \( x \) is: \[ \text{(4) } x = (0.28)(270) \]