Answer:
x = 20
x = 140
Step-by-step explanation:
Find the equation for profit P
P = R - C
Substitute the equations for R and C then simplify.
P = 100x − 0.5x² - (20x + 700)
P = -0.5x² + 80x - 700
Find the values of x when profit is $700
P = -0.5x² + 80x - 700
700 = -0.5x² + 80x - 700
0 = -0.5x² + 80x - 1400
This is in the standard form 0 = ax² + bx + c
Use the quadratic formula to find values of x

(Ignore Â)
Substitute a b and c.
a = -0.5
b = 80
c = -1400


Split the formula at the ± so that there are two to get the two x values.


x = 20
x = 140
The profit will be $700 when x is 20 or when x is 140.
You can make an equation.
Let x=oranges
p=plums
n=apples
n= 3p + 5x
So basically we know 1 Apple means Sam will pack 3 plums and 5 oranges
To get 3n which means 3 apples we have to multiply the whole equation by 3
(n= 3p + 5x) x3
3n=9p+15x
So Sam will also put 9 plums and 15 oranges if he puts 3 apples in the box
Answer: c)[50,60]
Step-by-step explanation:
The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).
We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.
Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.
i.e. about 68% of the heights of students lies between 
i.e. about 68% of the heights of students lies between 
Here, 
i.e. The required interval that contains the middle 68% of the heights. = [50,60]
Hence, the correct answer is c) (50,60)
Answer:
Top-to-bottom, the boxes have this order in the proof: 1, 7, 4, 3, 9, 8, 5, 2, 6.
Step-by-step explanation:
The basic idea is to use the Pythagorean theorem to write two expressions for the length of altitude BD, also called "k", then equate them and simplify the result. This leaves an expression for DC, also called "x", which is replaced by a cosine expression to complete the proof.
Finally, the variations involving other combinations of sides and angles are suggested as being provable in the same way.