Answer: x = 54
Explanation:
180 - 14 = 166
3x + 4 = 166
3x = 162
x = 162/3 = 54
Answer as a fraction = 1/720
Answer in decimal form (approximate) = 0.001388
Answer in percent form (approximate) = 0.1388%
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Explanation:
Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.
There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).
Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.
If you need the answer in decimal form, then use your calculator to find
1/720 = 0.001388
which converts over to 0.1388%
Since we are given x in terms of y, the most efficient way to solve it would be to substitute in the for x in the second equation. So, we then have:
So, now that we have our y, we can find x. We can actually use either equation, top or bottom, to find x, but to be efficient we should use the top one since we have x in terms of y, so:
So, our ordered pair is (2,-6).