One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

The system of equations
c=52+8d
c−3d=82

can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?

Answers

Answer 1

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

52 + 8d = 82 + 3d

8d - 3d = 82 - 52

5d = 30

d = 30 / 5

d = 6

Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

c = 52 + 48

c = 100

Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.


Related Questions

Combine the like terms to create an equivalent expression
−4q-(-8p)+10

Answers

Answer:

Step-by-step explanation:

−4q-(-8p)+10

= -4q + 8p + 10.

(There are no like terms).

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Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We can solve this question by understanding what is first says. The expression tells us 4 square which is 16 plus to to the power of x and all that divided by two: [tex]16+2^{x} / 2 = 16[/tex]

Now we can solve for x:

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2. [tex]2^{x}=16[/tex]

3. [tex]x=4[/tex]

C.J can shoot 36 shots in 3 minutes enter the number of shots C.J can shoot in 1 minute

Answers

Answer:

he can shoot 12 shots in 1minute

Step-by-step explanation:

3minutes = 36 shots

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The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.​]​

Answers

Answer:

it it went down 16%

Step-by-step explanation:

if you calculate it, 16 out of 19 points is 84%. this means that it went down 16%.

Answer:  16%

Explanation:

The decrease is 3 since 19-16 = 3. Divide this decrease value by the original count: 3/19 = 0.1579 = 15.79% = 16% approximately

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Answers

Answer: If it was the other way around I would have helped you  

Step-by-step explanation:

e.g.    

There are 222 red marbles in a box. Amit takes out 6 red marbles and replaces them with 12 blue
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Which of the following expressions gives the total number of blue marbles he put in the box?
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Answers

Answer:

(222 - 6) + 12

Step-by-step explanation:

You put B and C as the same thing but the correct option is this because first you take away 6 (subtract 6) from the 222 marbles then you replace them with 12 (add 12).

What is 1/4 + 10/16?

Answers

I’m pretty sure ur answer would be 0.875

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]

[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]

[tex]= \frac{14}{16} \\[/tex]

[tex]= \frac{7}{8}[/tex]

hope it helps :)

mark brainliest!

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Answers

y = 3x + 25, because I’m assuming that that you start by renting 25 movies.

The function that models this given situation is 3x = 25.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, my family bought a movie card from a DVD store that entitles you to rent 25 movies.

Assuming no. of weeks to be x, therefore i can watch movies for

3x = 25 weeks at 3 movies rented each week.

learn more about functions here :

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Answers

Answer:

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Step-by-step explanation:

hope this helps

Answer:

$35

Step-by-step explanation:

10 divided by 350 = $35

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Answer:

d? Kerana ianya tidak sama kaki

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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1. rational 2. irrational 3. irrational 4. rational

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Answer:

y = 6x+8

Step-by-step explanation:

y = mx+b

y = 6x + b

2 = 6(-1)+b

2 = -6+b

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Can you help me answer this question?
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Answers

Answer:

189.52

Step-by-step explanation:

184 x 0.03

5.52

184 + 5.52

189.52

Answer:

184*1.03 = £189.52

Step-by-step explanation:

How many fifths are there in the fraction 21/5?

Answers

Answer:

21

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The answer would be -19

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Doubt clarification - use comment section.

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Can you give more details and whats the equation?

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Answers

Step-by-step explanation:

by complete angle

x+38+52+220=360

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Answers

Answer:

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Step-by-step explanation:


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Answers

Answer:

q=4v/x

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

For x=2, the dimensions are ...

  height = x = 2 inches

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Answers

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Answer:

x = 17

Hope you could get an idea from here.

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Step-by-step explanation:

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Answers

Y= Mx+c

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Answers

6 eggs (i think)







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Answer:

12

Step-by-step explanation:

Theres 6 5's in 30. ( 5,10,15,20,25 and 30.)

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Answers

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Step-by-step explanation:

35-15= 20

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Answer:310

Step-by-step explanation:divide 6200 by 20 and it gives you 310

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Answers

Answer:

(7−2)(3)(24−11)

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Step-by-step explanation:

How many problems of each point value are on the test? 10 problems worth 5 points and 25 problems worth 2 points 14 problems worth 5 points and 15 problems worth 2 points 16 problems worth 5 points and 13 problems worth 2 points 15 problems worth 5 points and 13 problems worth 2 points.

Answers

The question is an illustration of system of equations

There are 14 problems worth 5 points and 15 problems worth 2 points

The system of equations is given as:

[tex]x + y = 29[/tex]

[tex]5x + 2y = 100[/tex]

Make x the subject in [tex]x + y = 29[/tex]

[tex]x = 29 - y[/tex]

Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]

[tex]5(29 - y) + 2y = 100[/tex]

Open brackets

[tex]145 - 5y + 2y = 100[/tex]

Evaluate like terms

[tex]145 - 3y = 100[/tex]

Collect like terms

[tex]- 3y = 100-145[/tex]

Evaluate like terms

[tex]- 3y = -45[/tex]

Divide both sides by -3

[tex]y = 15[/tex]

Substitute 15 for y in [tex]x = 29 - y[/tex]

[tex]x = 29 - 15[/tex]

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This means that there are 14 problems worth 5 points and 15 problems worth 2 points

Read more about system of equations at:

https://brainly.com/question/14323743

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