In this scenario, the buying price decreases with a higher purchase quantity. However, the markup for the retail price remains steady at 80% of the buying cost. If we denote the price as x, then the retail price can be expressed as:
Retail price= x * (100%+80%)
Retail price= x * 180%=
Retail price= 1.8 x
The equation remains consistent across different ranges since the markup ratio is constant. Only the buying price varies depending on how many pairs of shoes are bought.
We are given the triangle
△ABC, with m∠A=60° and m∠C=45°, and AB=8.
To start, we will calculate all angles and sides.
Finding angle B:
The total of all angles in a triangle equals 180.
m∠A + m∠B + m∠C = 180.
Substituting the known values,
60° + m∠B + 45° = 180.
This gives us m∠B = 75°.
Calculating BC:
Using the law of sines,

We can substitute in the values.



Finding AC:

Now we'll input the values.



Calculating Perimeter:

We substitute values here as well.


Calculating Area:
Using the area formula,

we can then insert values.

...............Answer
There are 50 pairs of whole numbers that can add up to 99. To clarify, consider the combinations: 0 + 99, 1 + 98, 2 + 97, and so on, up to 49 + 50. This observation indicates that counting all combinations would result in 50 pairs of distinct whole numbers that sum to 99. I hope this response assists you!
C. Anya employed an incorrect formula. The correct formula must reflect the change in the y-values in relation to the change in the x-values.