PLEASE HELP I'M DYING INSIDE! Six people are sitting around a circular table, and each person has either blue eyes or green eyes
. Let x be the number of people sitting next to at least one blue-eyed person, and let y be the number of people sitting next to at least one green-eyed person. How many possible ordered pairs (x,y) are there? (For example, (x,y) = (6,0) if all six people have blue eyes, since all six people are sitting next to a blue-eyed person, and zero people are sitting next to a green-eyed person.)
1 answer:
Answer:
10
Step-by-step explanation:
The attached figure shows all the cases and counts for at least as many blue as green. The resulting ordered pairs are ...
(6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3)
For at least as many green as blue, the numbers are reversed. That means there are a total of 10 possible ordered pairs:
(6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3), (3, 5), (4, 6), (2, 6), (0, 6)
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Answer:
13 is the number.
Step-by-step explanation:
Given:
Twice the difference of a number and 9 equals 8.
Let the unknown number be 'x'.
Therefore, as per question:
The difference of 'x' and 9 =
Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,
Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,
Solving for 'x', we get:
Using distributive property of addition and distributing 2 inside the bracket. This gives,
Therefore, the unknown number is 13.
Now, we can verify our answer.
Therefore, the answer is correct.