1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slega [8]
3 years ago
6

Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one

-time $20 membership fee and $4 per video stream.
Let the variable s represent the amount of videos streamed and let the variable c represent the cost.

For how many video streams will the cost be the same for both companies?

Which system of equations can be used to solve this problem?



{c=40s+2
c=20s+4

{c=40+2s
c=20+4s

{c=42s
c=24s

{c=40−2s
c=20−4s

Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0
Let's begin ! ^_^

You have got informations in your problem that you just have to translate in a "mathematic language".

Company A :
"$40 membership fee and $2 per video stream."

Thanks to that, you can guess :
c = 40 + 2s

Now let's do the same thing to the company B.

Company B :
"charges a one-time $20 membership fee and $4 per video stream."

Therefore, c = 20 + 4s.

I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is :

{c=40+2s ( Option B)
c=20+4s.

Second step : For how many video streams will the cost be the same for both companies?

We just have to solve the system :) And there is only one variable, the letter "s".

We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so :

=> 40 + 2s = 20 +4s
=> 4s - 2s = 40 - 20
=> 2s = 20
=> s = 20/2
=> s = 10

Verification :

Company A :
=> 40 + 2s = 40 + 2*10 = 40 + 20 =60.

Company B :

=> 20 + 4s = 20 + 4*10 = 20 + 40 = 60

As you have seen, the costs are the same for both companies.

We can say that as a conclusion for 10 video streams, the cost will be the same for both companies.

In short, the answer would be : 10.

Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language.

Hope this helps !

Photon
You might be interested in
SOMEONE HELP ASAP WITH NUMBER 4 PLEASE.
labwork [276]

Answer:

top stereo bottom toaster

Step-by-step explanation: toaster flings food using gravity boom ur welcome ;)

6 0
3 years ago
Increase 620ml by 35%
taurus [48]
620*1.35=837 so 837ml is the answer
6 0
3 years ago
Read 2 more answers
What number must be added to 15,-6, and 12 to have a mean of 5? Explain.
Genrish500 [490]

You need to add a -1

We can find this by setting up the equation like so

x + (-6) + 12 + 15 / 4 = 5

x + 21 = 20

x = 20 -21

x = -1

Now if we insert -1 where x is located in the equation, you will get a means of 5

3 0
3 years ago
How do you find the area of a traizoid
BaLLatris [955]

[(base + base)*high]/2

5 0
3 years ago
Find the volume of this square<br> based pyramid.<br> 10 cm<br> 8 cm<br> 8 cm<br> V = [?] cm3
oksano4ka [1.4K]

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

3 0
3 years ago
Other questions:
  • Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn
    5·1 answer
  • Choose one of the factors of x3 − 1331.
    10·2 answers
  • Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following equations represents his total cost? A. y=
    13·2 answers
  • In square ABCD, there are shaded regions bounded by arcs of circles with centers at A,B,C and D. Determine the area of the white
    6·1 answer
  • Martha has driven about 2/3 the distance she needs to go to reach her aunt's house. Her brother Jackson is making the same trip
    8·2 answers
  • Find another point on the line containing the points (-2,-3) and (3,-4)
    9·1 answer
  • What is the length of a rectangular garden whose perimeter is 32 cm and area 39 cm^2?
    8·2 answers
  • What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?
    9·1 answer
  • What is the value of the product (3 - 2i)(3+2i)?
    10·1 answer
  • What are the factors of the equation x 2 - 5x + 6?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!