Answer: the widget would be sold for $84.3
Step-by-step explanation:
The amount of profit, y made by the company, is related to the selling price of each widget, x, by the given equation which is expressed as
y = - x² + 77x - 615
At the point of breaking even, profit = 0. This means that
- x² + 77x - 615 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = - 1
b = 77
c = - 615
Therefore,
x = [- 77 ± √(77² - 4 × - 1 × - 615)]/2 × + 1
x = [- 77 ± √(8389)]/- 2
x = (- 77 + 91.59)/2 or x = (- 77 - 91.59)/- 2
x = - 7.295 or x = 84.3
Since the price cannot be negative, then x = $84.3
H,I,j,k,l,m,o,p,q,r,s,t,v,w,x,y,z
In a 30°-60°-90° triangle, the ratio of the legs is

So if the shorter leg is

, then the longer leg is
Ok what do you specifically do you need help with. While working with similar triangles there is a ratio that they dilate by ex: 1:2 could turn into 2:4
Answer:
0.8 oz of cream cheese for each ounce of sugar
Step-by-step explanation:
All you need to do is divide cream cheese oz by sugar oz. so,
12/15 = 0.8