Answer:
units.
Step-by-step explanation:
We have been given that the bottom of a vase is a square. Each side measures y+11 units. The square has a perimeter of 55 units.
Since we know that all sides of square are of equal measure and the perimeter of a square is 4 times the length of each side.
Upon substituting our given values in above formula we will get,
Upon distributing 4 we will get,
Upon subtracting 44 from both sides of our equation we will get,
Upon dividing both sides of our equation by 4 we will get,
Therefore, the value of y is 2.75 units.
Answer:
see explanation
Step-by-step explanation:
Note there is a common difference d between consecutive terms, that is
d = 7 - (- 3) = 17 - 7 = 27 - 17 = 10
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 10, thus
= - 3 + 10(n - 1) = - 3 + 10n - 10 = 10n - 13 ← explicit formula
The recursive formula allows a term to be found by adding d to the previous term, thus
= + 10 ← recursive formula
The smallest number of crackers she can pack is 24.
Answer:
= 3n + 2
Step-by-step explanation:
The nth term( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 3 , then
= 5 + 3(n - 1) = 5 + 3n - 3 = 3n + 2