Answer:
54.514 rev/min
Step-by-step explanation:
Data provided in the question:
Speed of the cable car = 12.65 miles per hour
Diameter of the rotating wheel, d = 6.5 feet
Now,
The speed of rotation of the wheel will be equal to the speed of the cable car
thus,
The speed of rotation of the wheel = 12.65 miles per hour
also,
1 miles = 5280 feets
1 hour = 60 minutes
Thus,
The speed of rotation of the wheel =
= 1113.2 ft/ min
Circumference of the wheel = πd
= 6.5π feet
= 20.42 feet
Therefore,
The speed of rotation of the wheel in revolutions per minute
= 1113.2 ÷ 20.42 rev/min
= 54.514 rev/min
Answer:
5.5 Hours
Step-by-step explanation:
Currently, the equation is 60=8.50h+13.25 and h stands for the hours that Sammie worked. So, you need to solve for h by first subtracting 13.25 (his tips) and getting the amount that he received for the hours that he worked.
You should now have 46.75=8.50h
Our final step, is to divide 46.75 by 8.50 to get h by itself and determine the total hours that Sammie worked.
In the end, you should come out with h=5.5, which means that Sammie worked 5.5 hours.
Answer:
The address of Ainsley is 24 and that of Lane is 25.
Step-by-step explanation:
All the houses on sequence lane have an address whose numerical portions are greater than that of the prior house.
Now, if Ainsley and Lane are next-door neighbors and the sum of the numerical portions of their addresses is 49.
Let the Ainsley has the address with numeric portion x, then Lane has the address with numeric portion x + 1.
Therefore, x + (x + 1) = 49
⇒ 2x = 48
⇒ x = 24
So, the address of Ainsley is 24 and that of Lane is 25. (Answer)