Answer:
x + 3/2x + 1/2x = 180°
60° + 90° + 30° = 180°
Step-by-step explanation:
3x = 180°
x = 60°
Answer:
-4 < x ≤ -3
Step-by-step explanation:
Separate it into 2 inequalities
2x+6 ≤x+3
x ≤-3
x+3<3x+11
-8 < 2x
x > - 4
Combine the 2 results
-4 < x ≤ -3
1/2 * 1/2 * 1/2 = 1/8 <==
The ratio of bows to headbands is 8:4. This means that for every 8 bows, there are 4 headbands, Then, a true statement is the second option.
Since there are 8 bows + 4headbands = 12 accessories, this also implies that for every 12 hair accesories, there are 4 headbands. This solution corresponds to the last option.
Hence, the true statements are the second and last options.
Let's define variables:
x: number of times the ticket price increases ($ 1).
The income is given by:
I(x) = (15 + x)(500-20x)
We can rewrite this function in the following way:
I (x) = - 20x ^ 2 + 200x + 7500
We use the following equation to find the maximum:
max = (-b)/(2a)
where:
then, we have:
max = (-200)/(2(-20))
max = (200)/(40)
max=5
Thus, the ticket price that maximizes the benefit is:
15 + x = 15 + 5 = 20 $
Answer:
A ticket price that will maximize the charity's profit, if there are total 500 seats in the concert hall is:
$ 20