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goblinko [34]
4 years ago
13

A small cafe sells drip coffee for $0.95 per cup. On average, it costs the cafe $0.25 to make a cup of coffee(for grounds, hot w

ater, filters). The cafe also has a fixed daily cost of $200 (for rent, wages, utilities).
a) let R, C, and P be the cafe's daily revenue, costs, and profit, respectively, for selling x cups of coffee in a day. Find formulas for R, C, and P as functions of x. [hint: The revenue, R, is the total amount of money that the cafe brings in. The cost, C, includes the fixed daily cost as well as the cost for all x cups of coffee sold. P is the cafe's profit after costs have been accounted for.]
b) Plot P against x. For what x-values is the graph of P below the x-axis? Above the x-axis?
Mathematics
1 answer:
Katen [24]4 years ago
8 0
I think its b but i am not really sure
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5x−y=3<br> −5x+2y=4<br> Which ordered pair satisfies the system of equations shown above?
ale4655 [162]

Answer:

(2, 7)

Step-by-step explanation:

We can solve this system of equations by using elimination.

In this case, we can eliminate x by adding the two equations:

5x+(-5x)-y+2y=3+4\\5x-5x+y=7\\y=7

Then, substitute 7 for y to solve for x:

5x-y=3\\5x-7=3\\\text{Add 7 to both sides}\\5x=10\\\text{Divide both sides by 5}\\x=2

Substitute both these values into the system to check our answer:

5x-y=3\\5(2)-7=3\\10-7=3\\3=3\rightarrow \text{correct!}

-5x+2y=4\\-5(2)+2(7)=4\\-10+14=4\\4=4\rightarrow \text{correct!}

Therefore the ordered pair is:

(x, y)=(2, 7)

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2 years ago
Write a problem about a group of objects in your classroom. Tell how many are in one equal part of the group. Solve the problem
laila [671]
I do not understand the question sorry.
4 0
4 years ago
So i know how to do this but.... im confusing my self &gt;n&lt; please help me
ASHA 777 [7]

Answer:

see the attached graph

Step-by-step explanation:

When an equation is in <em>standard form</em> (or almost standard form), I like to put it into <em>intercept form</em> for graphing. Here, it is convenient to divide the equation by 2 to put it in standard form (coefficients mutually prime).

  x +3y = -3

Now, it is convenient to divide by the constant on the right (-3) to put the equation into intercept form:

  x/(-3) +y/(-1) = 1

The denominators are the x- and y-intercepts, respectively. Plot those, (-3, 0) and (0, -1), and draw the line through them.

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4 years ago
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user100 [1]
Your answer would be 195. Hope this helps!
7 0
3 years ago
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ZanzabumX [31]

Answer:

each movie costs $2.75, each video game costs $6.75

Step-by-step explanation:

x = movies, y = video games

7x + 9y = 80

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simplified to

x = 11/4 , y = 27/4

5 0
3 years ago
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