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Anvisha [2.4K]
3 years ago
14

There are 90 people in the cafeteria. 50 are wearing red shirts, 15 are wearing green shirts, and the rest are wearing blue shir

ts. what is the ratio of the people wearing blue shirts to the total number of people in the cafeteria
Mathematics
1 answer:
Rainbow [258]3 years ago
7 0
First we need to calculate the number of people wearing a blue shirt,
90 - 50 - 15 = 25
the ratio is actually just like division, like the way you wrote fractions. the number on top will be the number of people who wears blue, and the number at the bottom will be the total number of people
25/90
but we need to simplify that.
5/18
therefore the ratio will be 5:18
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Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month
viktelen [127]
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10                         
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)
</span>
7 0
3 years ago
What is equivalent to the square root of 8?
Pavlova-9 [17]
It would be 2 root 2
bc it simplifies to root 2 and root 4 
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3 years ago
Would you rather put 3 dollars in the bank and have it triple each week for 4 weeks or put 4 dollars in the bank and have it qua
Gnesinka [82]

Answer:

4 dollars

Step-by-step explanation:

3x3x3x3x3 =243

4x4x4x4=256

3 0
2 years ago
Read 2 more answers
7th grade math help me pleaseeee
garik1379 [7]
The answer to how many batches is 9, hope this helped.
4 0
2 years ago
Sonya is paid $417.96 for 27 hours of work. taylor is paid $495.36 for 32 hours of work. which employee is paid a higher hourly
kap26 [50]
They got paid the same amount. If you divide 417.96 and 27, you get 15.48. And if you divide 495.36 and 32 you get 15.48.

I hope that helped you.
7 0
3 years ago
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