about how many times has mercury been around the sun in the time it has taken earth to go around ten…

Explanation:

Step1: Know orbital - periods

The orbital period of Earth around the Sun is about 1 year, and the orbital period of Mercury around the Sun is about 0.24 years.

Step2: Calculate Earth's time

If Earth goes around the Sun 10 times, the time elapsed is $t_{Earth}=10\times1 = 10$ years.

Step3: Calculate Mercury's revolutions

Let the number of times Mercury goes around the Sun in this time be $n$. We use the formula $n=\frac{t_{Earth}}{t_{Mercury}}$. Substituting $t_{Earth} = 10$ years and $t_{Mercury}=0.24$ years, we get $n=\frac{10}{0.24}\approx40$.

Answer:

d. 40 - times