Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
NOTE.- just substitute values and resolve
Answer:
She added 83, instead of subtracting it.
In the second step it shows she adds it. Which is incorrect.
The correct answer is 27
40% as a fraction in simplest form would be 2/5.
Answer:
800 M &Ms
Step-by-step explanation:
First, we can operate on the estimate that the proportion of M&Ms of the sample is equal to the proportion of M&Ms in the giant bag.
Therefore,
number of orange M&Ms in sample / sample size = number of orange M&Ms in bag / bag size
3/50 = 48 / bag size
multiply both sides by 50 to remove a denominator
3 = 48 * 50 / bag size
multiply both sides by bag size to remove the other denominator
3 * bag size = 48 * 50
divide both sides by 3 to isolate bag size
bag size = 48 * 50 / 3
bag size = 800 M &Ms