Answer:
The Break Even point is the point at which the cost=revenue
14,980+20x=30x
14,980=10x
1,498=x
a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960
b. The profit function is P(x)=R(x)-C(x)
So P(x)=30x-(14,980+20x)
If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.
A)
25 to the power of 8
Hope this helps
In probability, an experiment is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes. Thus, an experiment is a process that you can do over and over, where each result does not affect the next. For example: Flipping a coin, rolling dice, choosing a card, etc. are all experiments.
Step-by-step explanation:
The shape of the new pizza must meet the conditions:
- Be an irregular polygon (different sides and/or angles).
- Have at least five sides.
- Have the approximately the same area as a 14" diameter circle.
- Fit in a 14⅛" × 14⅛" square.
- Be divisible into 8-12 equal pieces.
For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).
Split the pentagon into a rectangle on bottom and triangle on top. If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.
Now we just need to figure out the dimensions. The area of a 14" circular pizza is:
A = πr²
A = π (7 in)²
A ≈ 154 in²
That means the area of each triangle slice needs to be 15.4 in². If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:
A = ½ bh
15.4 in² = ½ (7 in) h
h = 4.4 in
Which makes the total height of the pentagon 3h = 13.2 in.
So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.
Of course, there are many possible solutions. This is just one way.
Answer:
6
Step-by-step explanation:
Okay so we set up a proportion:
![\frac{2}{7} =\frac{x}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7D%20%3D%5Cfrac%7Bx%7D%7B21%7D)
To solve this, we need to cross multiply to find x. And x symbolizes the cups of sugar.
So 2 x 21 = 42
42 divided by 7 = 6
So the answer is 6.