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Brilliant_brown [7]
3 years ago
15

Carmen runs a video to DVD transfer business. She charges her customers $20.40 for each video transferred. Her expenses include

$1,250.00 for the equipment and $2.45 for each blank DVD. Which of these equations could Carmen use to calculate her profit, p, for the transfer of n videos?
A. p = $17.95n - $1,250.00

B. p = $1,250.00 - $17.95n

C. p = $20.40n - $1,247.55

D. p = $22.85n + $1,250.00
Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Answer:

A. p = $17.95n - $1,250.00

Step-by-step explanation:

Profit (p) = net revenue - expenditure

Net revenue = charge for transfer of n videos - expense for n blank DVD

charge per video transfer = $20.40

charge for n video transfer = $20.40 × n = $20.40n

expense per blank DVD = $2.45

expense for n blank DVD = $2.45 × n = $2.45n

Net revenue = $20.40n - $2.45n = $17.95n

expenditure = $1,250.00

Therefore, p = $17.95n - $1,250.00

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lianna [129]

Answer:

x=24

Step-by-step explanation:

The Quotient(dividing) of a number(x) and 6 minus(-) 3 IS(=) 1.

Which turns into:

\frac{x}{6} - 3 = 1

We want to get x by itself so we divide the entire equation by 6.

6 ( \frac{x}{6} - 3 = 1 )

x - 18 = 6

We want to move the plain numbers to one side so x can be by itself. So we add 18 to both sides.

x = 24

6 0
3 years ago
The area of triangle ABC is ____<br> square units.
ozzi

Answer: it should be 10!

Step-by-step explanation:

the area of a triange is a=bh/2, so if you plug in your base and height, you get ten!

6 0
3 years ago
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Determine the value of y, if x is 7.<br> y = x2 - 1
ddd [48]

Answer:

13

Step-by-step explanation:

If x is 7, then 7 * 2 = 13, and 14 - 1 = 13.

Hope that this helps!

4 0
3 years ago
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Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
Can someone help me out with this
katen-ka-za [31]

Answer:

AB=4.41

Step-by-step explanation:

Use the cosine ratio, cosine=\frac{adjacent}{hypotenuse} . Insert the values:

cos25=\frac{4}{x}

Isolate x. Multiply both sides by x:

x*(cos25)=x*(\frac{4}{x})\\\\x*cos25=4

Divide both sides by cos 25:

\frac{x*cos25}{cos25}=\frac{4}{cos25}\\\\x=\frac{4}{cos25}

Insert into a calculator:

x=4.414

Round to the nearest hundredth:

x=4.41

Done.

5 0
3 years ago
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