Answer:25
Step-by-step explan students ation:
total number of students=1+1+9+8+3+2+1
total number of students=25
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
= 3·4ⁿ + 51
= 3·4ⁿ⁺¹ + 51
- = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
- = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ - is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since - is divisible by 9, we have;
- 
= 
- is divisible by 9
Therefore is divisible by 9 and is divisible by 9 for all positive integers n
Step-by-step explanation:
Answer: C. She is dividing the entire length into shorter lengths.
The rest of the question would be "How many pieces will she get?"
Step-by-step explanation:
A would be a subtraction problem UNLESS it goes on to ask "how many 1/3 yard pieces can she cut?"
It's a subtraction problem if it's about "how many yards are left?"
B is just backwards and makes no sense with the expression given.
This is false because 
is an irrational number, despite being between 1 and 2.
Answer: 11 9/35
Step-by-step explanation: just add the whole number to the fraction.
