Answer:
Step-by-step explanation:
16 rotations
500/32 = 15.625
15.625 rounded = 16
Therefore, the answer is 16 rotations.
Why:
500 and 32 are both given to you in distance. By divided 500 by 32 will give you how many times the shorter distance can fit into the longer distance. This will then give you the amount of rotations in the greater distance.
Once you have the answer, it asks for you to round to the nearest rotation. 15.625 rounds to 16 because 6 is in the tenths place. And we all know a number 5 or greater rounds up. So, 16 is the correct answer.
y = mx + b
The product of slopes of perpendicular lines is -1. The slope of the given line is 2, so the slope of the perpendicular line is -1/2.
y = (-1/2)x + b
Now use the given point to find b and finish from here.
-5 = (-1/2)(2) + b
b = ?
The answer is C. 20.3 miles per hour.
In order to solve this, we have to first convert our time into hours. We start with 11 seconds, but need to convert to hours. Since there are 3600 seconds in an hour, we need to divide by that unit rate.
11 seconds/3600 = .00305 hours
Now we need to convert our meters into miles. The problem lets us know that there are 1609 meters in a mile, so we need to divide the 100 meters by 1609.
100 meters/1609 = .0621 miles.
Now to find miles per hour, we divide the miles we got by the hours.
.00305 miles/ .0621 miles = 20.3 miles per hour.
The answer is A because it does not specify how much commercial bank deposits are insured up to.