First divide 76 by 8 since 8 people can fit in the cabin. That leaves 4 more people for tents. It will take 2 tents for the 4 people.
Answer:
1
Step-by-step explanation:
A common factor is a number such that both 17 and 25 are divisible by that number. In this case, the greatest common factor of 17 and 25 is 1.
Answer:
Step-by-step explanation:
Let's start by making up as many teams as we can with the 32 student. Given that each team is different, we can make 10 teams of 3 each. (we still have 23 more teams to make).
The last two people make a team of only 2. No matter which student from the 30 other students is picked, the team of two and the one the student is coming from will have one student in common. Though there are more borrowings that take place (many more), the results remain as stated. At least 2 teams will have 1 person in common.
The method is called the pigeon hole method.
The explicit formula of the arithmetic sequence:
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
d - common difference
We have the recursive formula of an arithmetic sequence:
![\left\{\begin{array}{ccc}a_1=4\\a_n=a_{n-1}-3\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Da_1%3D4%5C%5Ca_n%3Da_%7Bn-1%7D-3%5Cend%7Barray%7D%5Cright)
Therefore we have:
![a_1=4,\ d=-3](https://tex.z-dn.net/?f=a_1%3D4%2C%5C%20d%3D-3)
Substitute:
![a_n=4+(n-1)(-3)=4-3n+3=7-3n](https://tex.z-dn.net/?f=a_n%3D4%2B%28n-1%29%28-3%29%3D4-3n%2B3%3D7-3n)
<h3>Answer: aₙ = 7 - 3n</h3>
Answer:
14
Step-by-step explanation:
As long as two sides of a triangle added together are larger than the third side, it is an accurate triangle!