I need help please.

the mean distance of earth from the sun is 92,960,000 which is 258% of the mean distance of mercury from the sun. What is mercury’s mean distance from the sun in ten millions of miles?

2.58x = 92.96

To find out Mercury's mean distance from the Sun, we need to work step by step using the information given.

1. Let's set up the equation to solve the problem. We know that the mean distance of Earth from the Sun is 92,960,000 miles, and it is 258% of the mean distance of Mercury from the Sun.

2. Convert the given percentage into a decimal. 258% can be written as 2.58.

3. Let's assume the mean distance of Mercury from the Sun is represented by 'x' (in ten millions of miles).

4. Now we can set up the equation: 92,960,000 miles = x * 10,000,000 miles * 2.58.

5. Solve the equation: Divide both sides by 2.58 to isolate 'x'.

x = 92,960,000 miles / (10,000,000 miles * 2.58).

6. Calculate 'x' using a calculator:

x ≈ 3.594.

7. Since we assumed 'x' represents the distance in ten millions of miles, the mean distance of Mercury from the Sun is approximately 35.94 million miles.

Therefore, Mercury's mean distance from the Sun is approximately 35.94 million miles.