Which of the following answers gives the best estimate for x given the following equation?

z/50 - 95 = 189

1,500

15,00

150,000

150

1 answer

To solve for \( z \) in the equation:

\[ \frac{z}{50} - 95 = 189 \]

First, add 95 to both sides:

\[ \frac{z}{50} = 189 + 95 \]

Calculate the right side:

\[ 189 + 95 = 284 \]

Now, the equation is:

\[ \frac{z}{50} = 284 \]

Next, multiply both sides by 50 to solve for \( z \):

\[ z = 284 \times 50 \]

Calculating \( 284 \times 50 \):

\[ 284 \times 50 = 14200 \]

Now, the question asks for the best estimate for \( x \), but you provided the following options:

  1. 1,500
  2. 15,00 (this seems to be a typo, possibly meant to be 15,000)
  3. 150,000
  4. 150

The calculated value \( z = 14200 \) fits closest to the option 15,000 if we consider rounding or estimation.

So, the best estimate for \( x \) is:

15,000