Answer:
56 ways
Step-by-step explanation:
Number of ways is given by n combination r (n!/(n - r)!r!)
n = total number of students = 8, r = the number of summer courses = 3
Number of ways = 8 combination 3 = 8!/(8-3)!3! = 8!/5!3! = 8×7×6×5!/5!×6 = 8×7 = 56 ways
Answer:

Step-by-step explanation:
The area of the circumference of a circle is:

We know that r is 8, so we can plug that into the formula.
However, there's a problem. We only want 3pi/4 of the circumference, not the entire circle's circumference. Therefore, we have to divide by part/whole. In this case, the part is 3pi/4, and the whole is 2pi (the entire circle is 2pi radians).

Answer:
Yes.
Step-by-step explanation:
3/3 is equal to 1. If you add 3/3 to 2/3, you get 5/3, which means that yes, they are equivalent.
Answer:
133.25
Step-by-step explanation:
45.99+11.61+75.65=
I hope you don't fail
We can change the sign of the second term, so that the two parenthesis are the same:

Now, both terms have in common a 3, becase the numeric factors are 3 and 6. If we factor the 3, we have

The parenthesis (a-1) is also in common, so we can factor it as well:

Finally, both terms in the parenthesis contain
, because it's the power of b with the lowest exponent:

So, the factorization is

You can swap the order of the four factors (3, b^2, a-1 and 2b-1) as you like: the multiplication is commutative.