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Dennis_Churaev [7]
3 years ago
11

Woodley Stadium has nine gates with two ticket booths at each gate. If each ticket booth can process 600 fans per hour, what is

the stadium's maximum ingress throughput?
Mathematics
2 answers:
Vesna [10]3 years ago
7 0

Answer:

10,800

Step-by-step explanation:

9*2= 18

18*600=10,800

prisoha [69]3 years ago
4 0

Answer:

2,700

Step-by-step explanation:

2,700 fans would go in per hour you would have to divide the gates and 2 ticket booths and then with that you times 600 by the number you get by dividing

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9 friends are lining up. Joe, Susan, John, and Meredith must be beside each other. How many ways can they line up?
ZanzabumX [31]
<h3>Answer:  17,280</h3>

This is one single number slightly over 17 thousand.

You may need to erase the comma when typing the answer in.

=========================================================

Explanation:

Let's say that another person steps in for Joe, Susan, John, and Meredith. I'll refer to this person as the teacher (perhaps these 9 friends are students on a field trip).

The 9 friends drops to 9-4 = 5 people when those four named people leave the group temporarily. Then it bumps up to 5+1 = 6 people when the teacher steps in. Wherever the teacher is located, the four friends that left will replace the teacher. This guarantees that those four friends stick together.

There are 6! = 6*5*4*3*2*1 = 720 ways to arrange those 6 people. The exclamation mark is a factorial symbol.

Within any of those 720 permutations, we have 4! = 4*3*2*1 = 24 ways to arrange those group of named people when they come back to replace the teacher.

So overall the answer is 4!*6! = 24*720 = 17,280

You may need to erase the comma when typing the answer in.

-------------

Side note: There are 9! = 362,880 ways to arrange all nine friends regardless if those four mentioned people stick together or not. We see that they stick together roughly (17,280)/(362,880) = 0.0476 = 4.76% of the time.

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