Answer:
$23.0384
Step-by-step explanation:
p = −5x2 + 100x − 250
Where,
P = profits in dollars
x = price in dollars
Find x when p = $100
p = −5x2 + 100x − 250
100 = −5x² + 100x − 250
100 + 250 = -5x² + 100x
350 = -5x² + 100x
-5x² + 100x - 350 = 0
x = -b ± √(b² - 4ac) / 2a
= -100 ± √(100² - 4*-5*-350) / 2*-5
= -100 ± √10000 - (-7000) / -10
= -100 ± √ 10000 + 7000 / -10
= -100 ± √ 17,000 / -10
= -100 ± 10√170 / -10
= -100/-10 ± 10√170/-10
x = 10 ± √170
x = 10 + √170 or 10 - √170
x = 23.0384 or -3.0384
Price of pizza can't be negative
Therefore, the highest price you can charge per pizza to profit $100 is $23.0384
Answer:
He can make 2 batches of lemonade with 1 pint of lemon juice.
Step-by-step explanation:
First convert 1 pint to ounces
1 pint of lemon juice = 16 fluid ounces
To get the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, we can simply use proportion;
Let x be the number of batches Farid can make with 1 pint(16 fluid ounces) of lemon juice
8 fluid ounces = 1 batch
16 fluid ounces = x
cross-multiply
8x = 16
Divide both-side of the equation by 8
8x/8 = 16/8
x= 2 batches.
Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.
2+3+5=180
the the angles are: 2/10 of 180=36
3/10 of 180=54
5/10 of 180=90
yes, it is a right triangle.
Answer:
I am sorry i cant help you if you dont have a picture.
Answer:
The probability that no one in a family of five will be hospitalized in a year is 0,2373
Step-by-step explanation:
Let p denote the probability of being hospitalized during a year,
Then p=0.25
And p' the probability of not being hospitalized during a year is 1-p
Thus p' = 1-p = 1-0.25 = 0.75
The probability that no one in a family of five will be hospitalized in a year is equal to 
. That is
= 
≈ 0,2373
