Which of the following answers gives the best estimate for x

given the following equation?

x/;50−94=189


(1 point)
Responses

150
150

15,000
15,000

1,500
1,500

150,000

1 answer

To solve for \( x \) in the equation \( \frac{x}{50} - 94 = 189 \), we can follow these steps:

  1. Isolate the fraction: \[ \frac{x}{50} = 189 + 94 \] \[ \frac{x}{50} = 283 \]

  2. Multiply both sides by 50 to solve for \( x \): \[ x = 283 \times 50 \]

  3. Calculate: \[ x = 14150 \]

Now, let's evaluate the available answer choices:

  • 150
  • 15,000
  • 1,500
  • 150,000

The closest estimate to \( 14150 \) is 15,000.

Thus, the best estimate for \( x \) is 15,000.