Answer:
= 47/21<em>x</em> + 132/7
hope this helps!
Step-by-step explanation:
9514 1404 393
Answer:
10
Step-by-step explanation:
The n-th triangular number is given by ...
t(n) = n(n+1)/2
We went to find n when t(n) = 55.
55 = n(n+1)/2
110 = n(n+1)
Adding 1/4 completes the square.
110.25 = (n +0.5)^2
√110.25 = n+0.5 . . . . . we are interested in the positive value of n
n = 10.5 -0.5 = 10
The triangular number that has 55 dots in its shape is the 10-th number.
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<em>Additional comment</em>
Here, we have gone to the trouble to formally complete the square to find the value of n. You may realize that it isn't really necessary to go to that trouble.
A reasonable estimate of the value of n is possible by considering that the product n(n+1) is a little more than n², so the value of n will be a little less than √110 ≈ 10.49. The nearest integer is 10, which is the answer we're looking for.
30% chance it's already raining
Answer:
x = s, y = t, z = 8 -s -t
Step-by-step explanation:
It can work reasonably well to let s and t represent any of a pair of the variables. In the answer above, we have used x=s, y=t.
You could get more elaborate if you want:
x = 4-s, y = 4-t, z = s+t
Answer:
Adam's way is correct
Step-by-step explanation:
11.3524 can easily be rounded to the nearest tenth because the number 4 cannot be rounded up. Any number below 4 cannot be rounded up and anything above five can be rounded up and that us why 5 rounded up transforms the 3 to a 4.
Hope this helped.