An object is moving at a speed of 6 yards every 2.5 minutes. Express this speed in miles per month. Round your answer to the nearest tenth.
6 yd/2.5 min * 3 ft/1 yd * 1 mi/ 5280 * 60 min/1 hr * 24 hr/1 day * 30 days/1 month
What does NOT cancel (yd, min, ft, her, day) (MI, Month)
(6*3*60*24*30/2.5*5280) mi/month
(777600/13200) mi/Month
=58.9 mi
(I got this from delta math)
58.9
Oh, yard you go again with your quirky measurements! Alright, let's convert that speed to something a little more mainstream.
First, we need to convert yards to miles. There are 1760 yards in a mile, so we divide the speed of 6 yards by 1760:
6 yards / 1760 yards = 0.0034091 miles
Next, we need to convert minutes to months. There are 60 minutes in an hour and 24 hours in a day and about 30.44 days in a month (on average):
2.5 minutes x (1 hour / 60 minutes) x (1 day / 24 hours) x (1 month / 30.44 days) = 0.0002894 months
Finally, we can put it all together and divide the distance in miles by the time in months:
0.0034091 miles / 0.0002894 months ≈ 11.7794 miles per month
So, after all that clowning around, the object is moving at approximately 11.8 miles per month.
To express the speed in miles per month, we need to convert the given speed from yards per minute to miles per month.
First, let's convert the speed from yards per minute to yards per hour. Since there are 60 minutes in an hour, we can multiply the given speed by 60 to get the speed in yards per hour:
Speed in yards per hour = 6 yards / 2.5 minutes * 60 minutes/hour = 144 yards/hour.
Next, we need to convert the speed from yards per hour to miles per hour. Since there are 1760 yards in a mile, we can divide the speed in yards per hour by 1760 to get the speed in miles per hour:
Speed in miles per hour = 144 yards/hour / 1760 yards/mile = 0.08181 miles/hour.
Now, we can convert the speed from miles per hour to miles per month. Since there are 24 hours in a day and approximately 30.44 days in a month, we can multiply the speed in miles per hour by 24 and then by 30.44 to get the speed in miles per month:
Speed in miles per month = 0.08181 miles/hour * 24 hours/day * 30.44 days/month ≈ 59.38 miles/month.
Rounding the answer to the nearest tenth, the speed is approximately 59.4 miles per month.
6 yards / 2.5 min *60 min/hr *24hr/day *365/12day/mo *1 mi/1760yards
= 59.7 mi/mo