Solution:
We are given that
Ballpoint pens cost $1.50 a dozen for the first 200 dozen a store buys from a wholesaler.
$1.25 a dozen for those bought in addition to the first 200 dozen.
we have been asked to find
If the store buys 250 dozen pens from the wholesaler, then what is the average cost of ballpoint pens per dozen.
Cost of first 200 dozens of pens
Cost of 50 dozens of pens 
Total cost of 250 dozens of pens
Average cost per dozen
The answer to the above eqaution is 1
Step-by-step explanation:
Proceeding step by step
Step 1= 1/(1-xᵃ⁻ᵇ)+ 1/(1-xᵇ⁻ᵃ)
on rearranging the equation (b-a) as -(a-b) and substituting the value
Step 2= 1/(1-x ᵃ⁻ᵇ) + 1/(1-x -⁽ᵃ⁻ᵇ⁾ )
Using the indices corrolary that 1/1- x ⁻ᵃ= -xᵃ/ (1- x ᵃ) and subsituting the value of the expression in the step mentioned below
Step 3=1/(1+x ᵃ⁻ᵇ) - (x ᵃ⁻ᵇ)/(1-x ᵃ⁻ᵇ)
Since the denominators are the same the two fractions can be added with common denominator being 1+x ᵃ⁻ᵇ
On adding the above mentioned step 3 we get
Step 4=(1- x ᵃ⁻ᵇ) / (1- x ᵃ⁻ᵇ)
=1
Thus the value of equation =1
Answer:
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Step-by-step explanation:
The area of a parallelogram is equal to the base multiplied by the height. Since we can see that this is a parallelogram (because of the two pairs of parallel sides), we now know how to find the area. Since we already know the height and the area, we can substitute their values into the formula to solve for the base.
8 * (the base) = 64
Divide each side by 8 to figure out the length of the base
the base = 8 in.
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