Answer:
The Quick answer is B.
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.
__
<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.
Answer: 3 7/12
Hope this helps! :)
Happy New Years!
Answer:
24
Step-by-step explanation:
3/8 of the 64 total animals at the zoo are birds.
To solve, this, multiply 3/8 and 64
3/8*64=24
Another way to solve would be to make a proportion
3/8=x/64
Multiply both sides by 64 to get x by itself
64(3/8)=(x/64)64
24=x
So, 24 out of the 64 animals are birds
