Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

an object is moving at a speed of 3 miles every 8 years. express this s…

Question

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.
*note: you must use these exact conversion factors to get this question right.
distance / length|time
1 foot (ft) = 12 inches (in)|1 minute (min) = 60 seconds (sec)
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 (week) = 7 days (days)
1 kilometer (km) = 1000 meters (m)|1 month (month) = 30 days (days)
1 inch (in) = 2.54 centimeters (cm)|1 year (year) = 365 days (days)
1 foot (ft) = 0.305 meters (m)
1 mile (mi) = 1.609 kilometers (km)

Explanation:

Step1: Convert miles to centimeters

$3\ mi\times5280\ \frac{ft}{mi}\times12\ \frac{in}{ft}\times2.54\ \frac{cm}{in}=482803.2\ cm$

Step2: Convert years to days

$8\ yr\times365\ \frac{days}{yr}=2920\ days$

Step3: Calculate speed in cm/day

$\frac{482803.2\ cm}{2920\ days}\approx165\ cm/day$

Answer:

165