an object is moving at a speed of 8 yards every 9.5 days. express this speed in kilometers per month. round…

an object is moving at a speed of 8 yards every 9.5 days. express this speed in kilometers per month. round your answer to the nearest hundredth.\nnote you must use these exact conversion factors to get this question right.\ndistance / length\ttime\n1 foot (ft) = 12 inches (in)\t1 minute (min) = 60 seconds (sec)\n1 yard (yd) = 3 feet (ft)\t1 hour (hr) = 60 minutes (min)\n1 mile (mi) = 5280 feet (ft)\t1 day (day) = 24 hours (hr)\n1 meter (m) = 100 centimeters (cm)\t1 week (wk) = 7 days (days)\n1 kilometer (km) = 1000 meters (m)\t1 month (mo) = 30 days (days)\n1 inch (in) = 2.54 centimeters (cm)\t1 year (yr) = 365 days (days)\n1 foot (ft) = 0.3048 meters (m)\n1 mile (mi) = 1.60934 kilometers (km)

an object is moving at a speed of 8 yards every 9.5 days. express this speed in kilometers per month. round your answer to the nearest hundredth.\nnote you must use these exact conversion factors to get this question right.\ndistance / length\ttime\n1 foot (ft) = 12 inches (in)\t1 minute (min) = 60 seconds (sec)\n1 yard (yd) = 3 feet (ft)\t1 hour (hr) = 60 minutes (min)\n1 mile (mi) = 5280 feet (ft)\t1 day (day) = 24 hours (hr)\n1 meter (m) = 100 centimeters (cm)\t1 week (wk) = 7 days (days)\n1 kilometer (km) = 1000 meters (m)\t1 month (mo) = 30 days (days)\n1 inch (in) = 2.54 centimeters (cm)\t1 year (yr) = 365 days (days)\n1 foot (ft) = 0.3048 meters (m)\n1 mile (mi) = 1.60934 kilometers (km)

Answer

Explanation:

Step1: Convert yards to kilometers

Since 1 yard = 3 feet and 1 foot = 0.3048 meters and 1 kilometer = 1000 meters, then 1 yard = 3×0.3048 = 0.9144 meters = 0.0009144 kilometers. So 8 yards = 8×0.0009144 = 0.0073152 kilometers.

Step2: Convert days to months

We know that 1 month = 30 days. The object moves in 9.5 days, and we want to find the speed per month.

Step3: Calculate the speed in km per month

The speed $v$ is given by the formula $v=\frac{d}{t}$. Here, $d$ is the distance in kilometers and $t$ is the time in months. The distance $d = 0.0073152$ kilometers for 9.5 days. Let $x$ be the distance in kilometers per month. We set up a proportion: $\frac{0.0073152}{9.5}=\frac{x}{30}$. Cross - multiplying gives $9.5x=0.0073152\times30$. Then $x=\frac{0.0073152\times30}{9.5}=\frac{0.219456}{9.5}\approx0.02$.

Answer:

0.02