Estimate the value of x given this equation: 4x−189=578 .(1 point) Responses 150 150 160 160 100 100 200 200

Question

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Answer 1

To solve the equation \( 4x - 189 = 578 \), follow these steps:

1. Add 189 to both sides:

   \[ 4x = 578 + 189 \]

   \[ 4x = 767 \]

2. Divide both sides by 4:

   \[ x = \frac{767}{4} \]

   \[ x = 191.75 \]

Since 191.75 is not among your provided options (150, 160, 100, 200), let's check for the closest estimate. The options suggest that rounding may have occurred or discrepancies with precision in the choices.

Among the responses, 200 is the closest estimate of the computed value of \( x \) when considering common rounding conventions.

Therefore, the best response would be 200.