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Bond [772]
3 years ago
7

Mary owns a coffee shop. She charges $4.50 for a cup of coffee, and it costs her $1.25 to make each cup of coffee plus a $75 a d

ay for other expenses. Write and solve an equation to determine how many cups of coffee, c, will Mary need to sell to break-even?
Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

Approximately 23 cups of coffee

Step-by-step explanation:

Break even = Fixed cost/Selling price - variable cost

Fixed cost = $75

Selling price = $4.50

Variable cost = $1.25

Break even = $75/$4.50 - $1.25

= 23.076923077

Approximately = 23

Therefore, Mary has to sell approximately 23 cups of coffee daily in order to break evem

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A student is making cookies for a bake sale. He sells 8 snickerdoodles and 12 chocolate chip
lions [1.4K]

Answer:

Snickerdoodles are 0.22$ each and chocolate chip are 0.43$ each

Step-by-step explanation:

using the information in the problem, you can make 2 separate equations: 8x+12y=6.92 and 5x+5y=3.25, let x= the cost of a snickerdoodle and y= the cost of a chocolate chip cookie.

With the 2 equations, we can isolate the y variable of the first equation and simplify which will give us y= -2/3x +6.92/12.

You can now take that equation and plug it into equation number 2:

5x+5(-2/3x + 6.92/12)=3.25.

solve that equation by multiplying 5 through the brackets: 5x-10/3x+34.6/12=3.25

add common terms: 5/3x=4.4/12

find the value of x, you will get x=0.22

plug the value of x (0.22) into one of your equations and solve for the y-value

8 0
3 years ago
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nalin [4]
The answer is 161 degrees
6 0
3 years ago
Given: <PQR is a right angle Prove: <PQS and <SQR are complemantary​
amm1812

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)

we have that

m∠PQR=90° ----> equation B given problem (because is a right angle)

substitute equation B in equation A

m∠PQS+m∠SQR=90°

Remember that

Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)

therefore

m∠PQS and m∠SQR are complementary angles

3 0
3 years ago
Pls help this is so hard
NNADVOKAT [17]

where is the question to this

5 0
3 years ago
The ratio of water to punch mix is 8 parts to 1 part. If you use 6 gallons of water predict the amount of punch mix to use
Valentin [98]

Answer:

The amount of punch mix to use is 3/4 gallons

Step-by-step explanation:

Let

x ----> parts of water

y ---> parts of punch mix

we know that

\frac{x}{y} =\frac{8}{1}

x=8y ----> equation A

That means ---> The parts of water is 8 times the parts of punch mix

If we have 6 gal of water

then

x=6\ gal

substitute in the equation A

6=8y

solve for y

y=\frac{6}{8}\ gal

Simplify

y=\frac{3}{4}\ gal

therefore

The amount of punch mix to use is 3/4 gallons

6 0
3 years ago
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