sam ran 63,756 feet in 70 minutes. what is sa...

# Explanation: ## Step1: Find the rate in feet per minute The rate as stated is the distance Sam ran divided by the time taken. So the rate in feet - per - minute is $\frac{63756\text{ feet}}{70\text{ minutes}}$. ## Step2: Convert feet to miles Since there are 5280 feet in one mile, to convert the distance from feet to miles, we divide the number of feet by 5280. ## Step3: Convert minutes to hours Since there are 60 minutes in one hour, to convert the time from minutes to hours, we divide the number of minutes by 60. Let's first find the rate in feet per minute: $r_{ft/min}=\frac{63756}{70}=910.8$ feet per minute. Now convert feet to miles and minutes to hours: The number of miles in 63756 feet is $\frac{63756}{5280}$ miles. The number of hours in 70 minutes is $\frac{70}{60}$ hours. The rate $r$ in miles per hour is $r=\frac{\frac{63756}{5280}}{\frac{70}{60}}$. $\frac{63756}{5280}=12.075$ miles and $\frac{70}{60}=\frac{7}{6}$ hours. $r = 12.075\div\frac{7}{6}=12.075\times\frac{6}{7}=\frac{72.45}{7}=10.35$ miles per hour. # Answer: 10.35 miles per hour