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an object is moving at a speed of 25 yards every 6.5 days. express this…

Question

an object is moving at a speed of 25 yards every 6.5 days. express this speed in feet per month. round your answer to the nearest whole number.
*note: you must use these exact conversion factors to get this question right.

distance / lengthtime
1 yard (yd) = 3 feet (ft)1 hour (hr) = 60 minutes (min)
1 mile (mi) = 5280 feet (ft)1 day (day) = 24 hours (hr)
1 meter (m) = 100 centimeters (cm)1 week (wk) = 7 days (days)
1 kilometer (km) = 1000 meters (m)1 month (mo) = 30 days (days)
1 inch (in) = 2.54 centimeters (cm)1 year (yr) = 365 days (days)

|1 foot (ft) = 0.3048 meters (m)|
|1 mile (mi) = 1.609 kilometers (km)|

Explanation:

Step1: Convert yards to feet

Since 1 yard = 3 feet, for 25 yards, the number of feet is $25\times3 = 75$ feet.

Step2: Find the number of 6.5 - day periods in a month

Given 1 month = 30 days, the number of 6.5 - day periods in 30 days is $\frac{30}{6.5}$.

Step3: Calculate the speed in feet per month

The speed $v$ in feet per month is the number of feet in 6.5 days times the number of 6.5 - day periods in a month. So $v=75\times\frac{30}{6.5}=\frac{2250}{6.5}\approx346$ feet per month.

Answer:

346