U have an arithmetic sequence with a common difference of 3
A(n) = -4 + (n-1) * 3
3 1/8 means 8 x 3 + 1 = 25/8
Step-by-step explanation:
4/5 x 25/8
= 4x25/5x 8
= 100/40
= 5/2
Answer:
Step-by-step explanation:
4x-17+3x+8+x+13=180
8x+4 =180
8x=176
X=22
Answer:
in about 8 2/3 years
Step-by-step explanation:
The population difference of 13000 people is being erased at the rate of 1500 people per year. It will be gone in ...
13000/1500 = 26/3 = 8 2/3 . . . . years
The population of Lakeside will be 45000 -8667 = 36333 at that time. Eastside's population will be the same.
Eastville and Lakeside will both have populations of 36,333 in 8 2/3 years.
Answer:
4851 ways
Step-by-step explanation:
The fish have 3 choices. They can make it above, below, or though the pipe. Keep in mind there are 100 fish total:
group 1 + group 2 + group 3 = 100
If we keep group 3 (the fish that swim below the pipe) constant, say 1, and increment the other two (group 2 starting off at 1) we find 98 possibilities.
98 + 1 + 1 = 100,
97 + 2 + 1 = 100,
96 + 3 + 1 = 100
. . . 98 possibilities
Now we take group 1 as one greater (1 + 1 = 2) and then start incrementing group 2 starting from 1 as done before. So 97 + 2 + 1 = 100. Followed by 96 + 3 + 1, 95 + 4 + 1...97 possibilities
If we continue this pattern, we have 98 + 97 + 96... + 1 total possibilities to partition this school of fish.
98 + 97 + 96... + 1,
Sum = n(n + 1)/2 = 98(98 + 1)/2 = 98(99)/2 = 4851
