A cell phone company charges $60 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?

Answers

Answer 1

Answer:[tex]c=60+0.05d[/tex]

Step-by-step explanation:

Given

Company charges [tex]\$60[/tex]  for  [tex]1\ GB[/tex] data

and charges [tex]\$0.05/MB[/tex]

If c is the total cost and d represent no of additional megabyte then

Cost is given by the sum of fixed price + additional data charge

[tex]c=60+0.05\times d[/tex]

Therefore final charge is given by

[tex]c=60+0.05d[/tex]


Related Questions

The segment shown below could form a triangle. True or False

Answers

9514 1404 393

Answer:

  B. False

Step-by-step explanation:

In order for segments to form a triangle, the sum of the shorter two must exceed the length of the longest. Here, that is ...

  5 + 6 vs 12

  11 vs 12

The short segments are not long enough to form a triangle. The assertion is FALSE.

use factoring to solve this x^2-4x-12=0

Answers

Answer:

x= 6  x= -2

Step-by-step explanation:

x^2-4x-12=0

What 2 numbers multiply to -12 and add to -4

-6*2 = -12

-6+2 = -4

(x-6)(x+2) = 0

Using the zero product property

x-6 =0  x+2 =0

x= 6  x= -2

Here are two similar cones. The area of ​​the base of the small cone is equal to 36 t cm2. The radius and apothem of the large cone are 9 cm and 15 cm respectively. What is the volume of the small cone? *


( IF YOU CAN DO ALL OF THE STEPS THAT WILL BE VERY HELPFUL)

thx

Answers

V=1/3(pi)(r)^2(h)
V=1/3(pi)(9)^2(15)
V=1/3(3.14)(81)(15)
Then multiply all numbers in parentheses:
3815.1/3=1271.7 cm^3

Hope this Helps!

15 POINTS AND WILL MARK BRAINLIEST Help?? Pleasee

Answers

The experimental probability is calculated based on the results of the experiment; since the name Ted was chosen 26 times out of 123, the experimental probability is [tex]\boxed{\frac{26}{123}}.[/tex]

Typically, the theoretical probability assumes that events are chosen randomly; since the name Ted is one of the 6 in the hat, the theoretical probability is [tex]\boxed{\frac{1}{6}}.[/tex]

If we increased the number of names in the hat, we would expect both the experimental and theoretical probability to decrease, since there are now more names to choose from. Similarly, if we decreased the number of names in the hat, the experimental and theoretical probability would increase.

Is this right?!! Please answer

Answers

Answer:15

Step-by-step explanation:

You have 2L plus 2w = 40 you know that w = 5. multiply 5 by to because you have 2w. your new equation is 2l + 10 = 40. subtract ten from both sides, your new equation is 2l =30. Divide both sides of the equation by two, get L = 15

yes youu are correct

What is f(a+2)
A.
B.
Or
C.

Answers

Answer:

B

Step-by-step explanation:

f(x) = 3(x + 5) + 4/x

To find f(a + 2) , put a + 2 in place of every x

f(a + 2) = 3 (a + 2 + 5) + 4/(a + 2)

f(a + 2) = 3 (a + 7) + 4/(a + 2)

Do you stilll need help?!?!

A candy jar contains flavoured jelly beans. There are 7 orange, 9 cherry, 3 lemon, 15 licorice, and 6 blueberry. Find the probability of choosing and orange or a lemon jelly bean. PLEASE HELP!!!

Answers

Answer:

25%

1/4

Step-by-step explanation:

There are 40 beans in total. Only 10 of those are orange and lemon flavored.

1/4 or 25% chance of lemon or orange. 7/40 [orange] + 3/40 [lemon] = 10/40=1/4

The hypotenuse of right triangle ABC is represented by segment AB, as shown on the graph.

On a coordinate plane, line A B has points (negative 3, negative 4) and (5, 3).

At which point could point C be located?
(–3, 3)
(–3, 2)
(5, –5)
(5, –3)

Answers

Answer:

(-3,3)

Step-by-step explanation:

just took the test on edg.

Answer:(–3, 3)

Step-by-step explanation:

What is the value of x?
20
35
60
70

Answers

The value of X will be 20 , Hope this helps !

The required value of the x is 20° for the two intersecting lines.

A figure has shown the intersecting line TW and VS. And opposite angles are given x+40 and 3x. The value of the x is to determine in a manner to find the respective angle.

What is the angle?

The angle can be defined as the one line inclined over another line.

alternate angles of two intersecting lines is equal.
x +40 = 3x
3x - x = 40
2x = 40
x = 40/2
x = 20°
required angle x and x+40
x = 20
x + 40 = 20+40
= 60°

Thus, the required value of the x is 20°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ6

Which of the binomials below is a factor of this
trinomial?
x2 - 7x - 44
O A. X-5
O B. X-11
O C. X+ 5
O D. x2 + 11​

Answers

Answer:

The answer is b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

x² - 7x - 44

Consider the factors of the constant term (- 44) which sum to give the coefficient of the x- term (- 7)

The factors are - 11 and + 4 , since

- 11 × 4 = - 44 and - 11 + 4 = - 7 , thus

x² - 7x - 44 = (x - 11)(x + 4) ← in factored form

with (x - 11) as a factor → B

The base of the pyramid below is a nonregular heptagon with an area of 30.0 square yards. The height of the pyramid is 6.6 yards. Find the volume of the pyramid. Notice the area of the base is GIVEN

Answers

Answer:

Volume of the pyramid is 198 yards^3

Step-by-step explanation:

Here, we are asked to calculate the volume of the pyramid given the area of its base and its height.

Mathematically, the volume of the pyramid can be calculated using the formula below;

Volume of pyramid = Area of heptagonal base * height of pyramid

Volume of pyramid = 30 * 6.6 = 198 yards^3

Frank works in the supply room of a law firm. At the beginning of the month, he had 21 boxes of pens with 13 pens in each box. At the end of the month, there were 45 pens left. How many pens did he give out over the month?

Answers

21 x 13 = 273
273 - 45 =228

He gave away 228 pens

measures 19.2cm and 21.6cm to the nearest tenth

Answers

The Answer to the prob is 20 cm

Answer:

they are already in tenths place value, so they won't change.

Step-by-step explanation:

what is 5.9736/7.349 reduced to simplest form

Answers

Answer:

I think that the answer would be, 0.813

Step-by-step explanation:

5.8736

7.349

equals 0.812845

If you round it you get 0.813

Can someone plz help with this?

Answers

Answer:

A = 20 square units ; Type in 20

Step-by-step explanation:

The simplest way to derive the area of this figure, is to first consider what the shape is itself;

[tex]Criteria of Shape - 2 Bases, 1 pair of Parallel Sides, Composed of two triangles, one square -From this we See that - Shape ; Trapezoid ( neither Right nor Isoceles )[/tex]

Knowing that the shape is a Trapezoid, consider the formula ( Average of Bases ) * Height as to solve for it's area;

[tex]Length Of Base 1 - 3 units,\\Length of Base 2 - 7 units,\\Length of Altitude - 4 units,\\[/tex]

Now let us substitute these values, solving for the Area;

[tex]Area Of Trapezoid - ( ( Base 1 + Base 2 ) / 2 ) * Height,\\ ( ( Base 1 + Base 2 ) / 2 ) * Height = ( ( 3 + 7 ) / 2 ) * 4,\\( 10 ) / 2 * 4 = 5 * 4 = 20 square units,\\\\Conclusion ; Area of Trapezoid = 20 square units[/tex]

Solution; A = 20 square units

Answer:

A=20 (square units)

Step-by-step explanation:

B=XW=8-1=7

b=YZ=5-2=3

h=5-1=4

A=(B+b)*h/2

A=(7+3)*4/2=10*2

A=20 square units

two similar figures have an area of 25 in^2 and 4 in^2, what is the ratio of the corresponding sides?

Answers

Answer:

5/2

Step-by-step explanation:

ratio of sides=(√25)/(√4)=5/2

a printing machine prints 70 pages in 8 minutes how many pages could it print in one hour

Answers

Answer:

525 pages in one hour.

Step-by-step explanation:

1 hour = 60 minutes

70 pages in 8 minutes

[tex]x[/tex] in 60 minutes

8x=4200

525

Answer:

525 pages in 1 hour

Step-by-step explanation:

Use proportions

70 pages --> 8 mins

? pages --> 60 mins

60/8 = 7.5

That means ?/7.5 = 70, then ? = 70*7.5, ? = 525

What is the slope of the line represented by the equation y=-
5x?
0-5
or w/N wind
5

Answers

Answer:

the slope would be -5

Step-by-step explanation:

in linear equations, the slope of the line is the coefficient of x

so in this case, it is -5

Given f(x) = -x – 4, find f(4).

Answers

Step-by-step explanation:

f(4) = -4 -4

= -8

......

.......

If it is recommended that you limit your fat intake to less than 30% of your calories, what is the limit if you consume 2,000 calories a day?

Answers

Answer:

30% of 2,000 = 600 calories.

Step-by-step explanation:

A farmer picked 600 portugals and oranges in total to be sold to the market. There are 3 times as many oranges as there are portugals. How many portugals are picked by the farmer?

Answers

Answer:

450 portugals

Step-by-step explanation:

in this question, we are tasked with calculating the number of portugals which are picked by the farmer

Firstly, let the number of portugals picked be p and the number of oranges picked be r.

Thus;

p + r = 600 ••••••••••(i)

Secondly there are 3 times as many oranges as there are portugals;

That would be;

3 * r = p

3r = p. •••••••••(ii)

substitute ii into i

3r + r = 600

4r = 600

r = 600/4

r = 150

P = 3r

p = 3 * 150 = 450

There are 4 students at the Math Club picnic. If 2 students are drinking punch
and 2 are drinking lemonade, what fraction are drinking punch?
Simplify your answer as much as you can

Answers

Answer:          1/2

If 2 students are drinking punch

and 2 are drinking lemonade that would mean it would be 2/4

but if you were to simplify by dividing both by 2

it would be 1/2.

A rectangular tank 50 cm long, 20 cm wide, and 33 cm high is filled with water to a depth of 12cm. How many more liters of water need to be added to fill the tank?

Answers

Answer:

21 litres

Step-by-step explanation:

1 litre = 1000 cubic cm

The rectangular tank is 50 cm long, 20 cm wide, and 33 cm high.

The tank is in the shape of a rectangular prism.

The volume of a rectangular prism is:

V = l * w * h

where l = length

w = width

h = height

Therefor, its volume is:

V = 50 * 20 * 33 = 33000 cubic cm = 33 litres

The tank is filled to a depth of 12 cm.

The volume of water in the tank is:

V = 50 * 20 * 12 = 12000 cubic cm = 12 litres

Therefore, the number of litres left to fill the tank is:

33 - 12 = 21 litres

The liters of water needed to fill the tank is 21 liters.

Determining the volume of the rectangular tank

The first step is to determine the volume of the tank. The tank has the shape of a cuboid. Thus, the formula for the volume of a cuboid would be used to determine the volume of the tank.

Volume of the tank = length x width x height

50 x 20 x 33 = 33,000

Determination of water needed to fill the tank.

1 liter = 1000 cm

33,000 / 1000 = 33

The tank is already filled with 12 liters of water.

Water needed = 33 - 12 = 21 liters

To learn more about volume of a cuboid, please check: https://brainly.com/question/46030

Find the number of ways a math test can be made with a 20 question test bank and a 15 question test

Answers

Answer: we can make 15,504 different math tests

Step-by-step explanation:

Ok, we have a bank with 20 questions (Q1, Q2........ , Q20)

and we want to make a test with 15 of those 20 questions.

As the order of the questions does not matter in the thest ( is the same if the order is Q1, Q2, ...., Q15 than if the order is Q15, Q14, ....., Q1 )

So we only want the number of combinations.

When we have N elements and we want to create groups of K elements, the total number of combinations is:

[tex]C = \frac{N!}{(N - K)!*K!}[/tex]

Here N = 20 and K = 15

[tex]C = \frac{20!}{5!*15!} = \frac{20*19*18*17*16}{5*4*3*2*1} = 15,504[/tex]

So we can make 15,504 different math tests

Assume that y varies directly with x . Ify = 18when x = 6 , findywhen x = 5 . Write and solve a direct variation equation to find the answer. y =

Answers

Answer:

y = 15

Step-by-step explanation:

It's given in this question that y varies directly with x.

That means, y ∝ x

⇒ y = kx (where k is the proportionality constant)

If  y = 18 when x = 6,

⇒ 18 = 6k

⇒  k = 3

Therefore, relation between x and y is,

y = 3x

From this relation, if x = 5

y = 3×5

y = 15

Therefore, for x = 15 value of y will be 15.

Tanzila is selling tickets to the MS127 musical. On the first day of ticket sales she sold 2 adults tickets and 10 child tickets for a total of $78. Then she sold $67 on the second day by selling 8 adults tickets and 5 child tickets. What is the price of one adult ticket and one child ticket?

Answers

Answer:

One adult ticket is $4 and one child ticket is $7

Step-by-step explanation:

Make a system of equations

2x + 10y = 78

8x + 5y = 67

Solve by elimination, multiply the 2nd equation by -2

2x +10y = 78

-16x -10y = -134

Add the equations

-14x = -56

x = 4

The price of one adult ticket is $4

Plug 4 in as x to find y

2(4) + 10y = 78

8 + 10y = 78

10y = 70

y = 7

The price of one child ticket is $7

Chen buys 4 tickets to a soccer game. The total cost before taxes is $80. Which equation would you use to determine the price, p, of the ticket? A 4p=80 B 80p=4 C 4+p=80 D p/4=80

Answers

Answer:

A. 4p=80

Step-by-step explanation:

Total Cost of 4 tickets=$80

Price=p

Quantity=4

Total cost=price×quantity

80=p×4

80=4p

80=4p is the equation that can be used to determine price

From the equation

80=4p

Divide both sides by 4

80/4=4p/4

20=p

Price is $20 per ticket

Answer:

4p = 80

Step-by-step explanation:

Total cost before tax = $80

Number of tickets purchased = 4

Price 'p' of each ticket

p = total price of ticket / number of tickets purchased

p = 80 / 4

Multiplying both sides by 4

4p = 80

Triangle MNP is similar to triangle QRS. Which sides have the same slope?

Answers

Answer:

The corresponding sides have the same slope so the answer is QR and MN, SR and PN and MP and QS. Hope this helps!

ASAP 7 POINTS + LINK TO A 50 POINT QUESTION
Which of the following will always represent a function?

1: a table of pairs of numbers

2: an equation in the form y = mx + b

3: a list of ordered pairs

4: a list of numbers

Link to 50 point question: https://brainly.com/question/16753532

Answers

Answer:  2: an equation in the form y = mx + b

1. An x/y table may have two entries with the same x; not a function in that case.

2.  That's a line with a slope; for each x there's a single y, definitely a function

3.  Ordered pairs -- like the table, the same x with different ys is possible, which wouldn't be a function.

4. List of numbers  -- a list isn't a function, at least not without more context

PLEASE HELPPP !!!!!!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

These two matrices cannot be added. To be eligible to add two matrices together, they must have the same dimensions. In this case, they have two different dimensions so the answer is D.

Hope this helps! (Please consider giving brainliest)

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