An election ballot asks voters to select 6 city commissioners from a group of 15 candidates. In how many ways can this be done

1 answer:

4 0

This is a combination since the order doesn't matter
C(15, 6) = (15 * 14 * 13 * 12 * 11 * 10)/(6 * 5 * 4 * 3 * 2 * 1)
C(15, 6) = 3603600/720
C(15, 6) = 5005 different combinations of votes

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Leo spent the same amount of time working on each of 5 different weight machines and then spent Two-thirds of an hour on the tre

Sidana [21]

Answer:

5x + 2/3 = 1 3/4 / Leo spent 13 minutes at each machine.

Step-by-step explanation:

There are 5 weight machines. Leo spent a equal amount of time at each weight machine, but we don't know how much time. (5x) We then learn that he spent 2/3 of his time on the treadmill. (5x + 2/3) Leo spent 1 3/4 hours at the gym. (5x + 2/3 = 1 3/4) Now that we have our equation, all that's left to do is solve for x. Change your fractions into numbers. (5x + 40 = 105) After solving for x, you will determine that Leo spent 13 minutes at each machine.