an object is moving at a speed of 3 miles every 8 years. express this speed in centimeters per day. round…

an object is moving at a speed of 3 miles every 8 years. express this speed in centimeters per day. round your answer to the nearest whole number.\n*note: you must use these exact conversion factors to get this question right.\n|distance / length|time|\n|----|----|\n|1 foot (ft) = 12 inches (in)|1 minute (min) = 60 seconds (sec)|\n|1 yard (yd) = 3 feet (ft)|1 hour (hr) = 60 minutes (min)|\n|1 mile (mi) = 5280 feet (ft)|1 day (day) = 24 hours (hr)|\n|1 meter (m) = 100 centimeters (cm)|1 week (week) = 7 days (days)|\n|1 kilometer (km) = 1000 meters (m)|1 month (month) = 30 days (days)|\n|1 inch (in) = 2.54 centimeters (cm)|1 year (year) = 365 days (days)|\n|1 foot (ft) = 0.305 meters (m)|\n|1 mile (mi) = 1.609 kilometers (km)|
Answer
Explanation:
Step1: Convert miles to centimeters
We know 1 mile = 5280 feet, 1 foot = 12 inches and 1 inch = 2.54 centimeters. So for 3 miles: [3\times5280\times12\times2.54 = 3\times5280\times30.48=482803.2\text{ cm}]
Step2: Convert years to days
Since 1 year = 365 days, for 8 years: [8\times365 = 2920\text{ days}]
Step3: Calculate speed in cm per day
Speed (v=\frac{\text{distance}}{\text{time}}), so (v=\frac{482803.2}{2920}\approx165.34)
Answer:
165