Slot A = chairperson position
Slot B = secretary position
Slot C = treasurer position
There are 9 choices for slot A. After picking that person, there are 8 choices for slot B. Then 7 choices for slot C
Multiply those values out: 9*8*7 = 72*7 = 504
There are 504 ways to pick three people from a pool of nine.
Answer: 504
Note: order matters so this is a permutation. You can use the nPr permutation formula with n = 9 and r = 3 to get the same answer
Answer: Yes. The answer is D.
Answer:
5/8
Step-by-step explanation:
multiply by the reciprocal and follow the steps i provided
Answer:
60
Step-by-step explanation:
All the angles in that triangle are the same due to the type of triangle.
Answer:
60 mph
Step-by-step explanation:
We don't know how far Jimmy drives in each direction. Let this distance be d. Then, d = rate * time, and d = r(2 hours) (where r represents his speed while driving to the ferry).
But it's also true that d = (r - 20 mph)(3 hours).
Equating d = r(2 hours) and d = (r - 20 mph)(3 hours), we get:
r(2) = (r - 20)(3), or 2r = 3r - 60.
Subtracting 2r from both sides yields 0 = r - 60, so that r = 60 mph.
Jimmy averaged 60 mph on the outbound trip.
