Question

The planet Mercury is roughly 2 5 the size of Earth. The planet Jupiter is 2.5 times the size of earth. Earth is 3,959 miles. How much larger is Jupiter than Mercury? Write your answer as a decimal.

Answer 1

Jupiter is 13379.1 kilometers larger in diameter than Mercury. This was determined by comparing the ratios of Mercury and Jupiter's sizes relative to Earth and converting Earth's diameter to kilometers.

Step-by-step explanation:

The question is asking how much larger Jupiter is than Mercury when given their relative sizes to Earth. Since Mercury is roughly 2/5 the size of Earth and Jupiter is 2.5 times the size of Earth, we need to compare these ratios to find the difference in size between Jupiter and Mercury.

First, let's convert Earth's diameter to kilometers since we have Mercury's diameter in kilometers. The diameter of Earth is 3,959 miles, which is approximately 6371 kilometers. Now, using the ratios provided:

• Mercury's diameter relative to Earth: 2/5 × 6371 km = 2548.4 km
• Jupiter's diameter relative to Earth: 2.5 × 6371 km = 15927.5 km

Next, to find out how much larger Jupiter is than Mercury, we subtract Mercury's diameter from Jupiter's diameter:

15927.5 km - 2548.4 km = 13379.1 km,

which means Jupiter is 13379.1 kilometers larger in diameter than Mercury.