Answer:
Step-by-step explanation:
We can set up the following equation:
where 
is the total number of shapes on Abigail's paper.
Let's first multiply both sides by :
Next, let's multiply both sides by 
:
Finally, let's divide both sides by 
:
Answer:
Step-by-step explanation:
First I want to set up some variables.
S = sum
n = final term
ax = xth term, so a1 is the first term and an is the last one
d = common difference.
There are two formulas to find the sum, if you don't get how they were gotten I'd be happy to explain.
S = (n/2)(a1+an) = (n/2)(2a1+(n-1)d)
So, to find n we use the first one.
S = (n/2)(a1+an)
123 = (n/2)(8+33)
123 = (n/2)41
3 = n/2
6 = n
Now we can find d with the other one
S = (n/2)(2a1+(n-1)d)
123 = (6/2)(2*8+(6-1)d)
123 = 3(16+5d)
41 = 16+5d
25 = 5d
5 = d
so there are six terms and the common difference is 5.
Answer:
4x is the answer
Step-by-step explanation:
3x + x= 4x + x = 5x - x = 4x
Answer: 37
Step-by-step explanation: 14 x 3 = 42
42 - 5 = 37
5 cartons cost $8.75
Hence 1 carton costs:
8.75/5 = $1.75
Then multiply by 11
$1.75 x 11 = $19.25
Answer C :)
