Question

the distance from earth to mercury is 9.21 × 10^7 kilometers. how long would it take a rocket, traveling at 3.35 × 10^4 kilometers per hour to travel from earth to mercury? round your answer to the nearest whole number of hours. answer attempt 1 out of 2 answer: hours submit answer

Explanation:

Step1: Recall time - distance - speed formula

Time = $\frac{Distance}{Speed}$

Step2: Substitute given values

Time = $\frac{9.21\times10^{7}}{3.35\times10^{4}}$

Step3: Use exponent rule for division

$\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$, so $\frac{9.21}{3.35}\times10^{7 - 4}$
$ \frac{9.21}{3.35}=2.75$, and $10^{7 - 4}=10^{3}$
So time = $2.75\times10^{3}$

Step4: Calculate the value

$2.75\times10^{3}=2750$

Answer:

2750