Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you periodic updates of your usage and your current bill cost. After using 3 GB of data, you owe $30. After 5 GB of data, you owe $40. What is the cost per GB of data?

Answers

Answer 1

Answer:

$5

Step-by-step explanation:

Let

x = initial fee

y = fees depending on the amount of data he use

After using 3 GB of data , he owes $30.

After using 5 GB of data , he owes $40.

The equations are

x + 3y = 30 (1)

x + 5y = 40 (2)

Subtract (1) from (2) to eliminate x

5y - 3y = 40 - 30

2y = 10

Divide both sides by 2

y = 10/2

y = $5

Substitute y = 5 into (1)

x + 3y = 30

x + 3(5) = 30

x + 15 = 30

x = 30 - 15

x = $15

Cost per GB of data = $5


Related Questions

Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence's height in inches, which expression can she use to find the answer? 68.7 minus t StartFraction t Over 68.7 EndFraction StartFraction 68.7 Over t EndFraction t minus 68.7

Answers

Answer:

68.7 - t

Step-by-step explanation:

Here, we are interested in giving the expression that Kalinda can use to know the difference in height between her and Terrence

From the question, Kalinda is 68.7 inches tall while Terrence is t inches tall

To know the difference in their heights, we simply subtract Terrence’s height from Kalinda’a

Mathematically, that would be 68.7 - t

Answer:

Its A

Step-by-step explanation:

Please answer thank you :D

Answers

Answer:

You could type 360 words in 12 minutes

Step-by-step explanation:

150/5=30

12*30=360

What is the slope intercept equation of the line below

Answers

Answer: y= -3x+4

Step-by-step explanation:

Hope this helps

Working together takes two different size hose 30 minutes to fill a small swimming pool if it takes 40 minutes for the larger hose to fill the swimming pool by itself how long will it take the smaller hose to fill the pool on its own?

Answers

So when the pool is filled by the two hoses together in 30 minutes, the larger hose itself fills 30/40 = 3/4 of the pool. That means in those 30 minutes the smaller hose fills 1/4 of the pool; and that means it would take the smaller hose 30*4 = 120 minutes to fill the pool alone.

These trees have different heights. The height of the taller tree is 3 feet less than twice the height of the shorter tree.
Which expression represents the height of the taller tree in terms of h?
Let h = the height (in feet) of the shorter tree

A. 2h+3
B. 2h-3
C. 3h+2
D. 3h-2

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is Choice B if you subtract 3 feet from twice the smaller tree you should get the height of the taller tree.

Answer:

b

Step-by-step explanation:

(14 POINTS!) Based On the information in the table, is the cost of the apples proportional to the weight of apples ?

Answers

Answer:

yes it is proportional, if you subtract 3.76 from 5.64 you get 1.88 then add 1.88 to each number to make sure it's right.

Answer:

The statement of whether the cost is proportional to the cost and weight of apples is: yes, it is proportional.

Step-by-step explanation:

From what I can find out from the graph, I would firstly likely want to see if there is a constant between each pound and cost. Meaning, I would want to see if there is a rule that is used throughout the table.

From what I had found out, the rule of this table is:

(x = pounds of apples)

(y = cost of apples)

y = 1.88x

This means that in order to get the 'y' value, also known as the cost of apples, we must multiply 1.88 to the 'x' values, pounds of apples.

This can be found by:

First, dividing 3.76 to 2, your quotient is: 1.88

[tex]\frac{3.76}{2}=1.88[/tex]

Then we need to see if this applies to the other terms as well by multiplying 1.88 to each 'x'

y = 1.88x

y = 1.88(3) = 5.64

y = 1.88(4) = 7.52

y = 1.88(5) = 9.4

You get the same vaule, which means that this is proportional to the table provided.


What is the slope of the line?

Answers

Answer:

Slope: 3

Step-by-step explanation:

find 2 points on the line and do rise/run which would get 3/1 which is 3

-7/8 + 1/4

pleasee help!!

Answers

Answer:

-5/8

Step-by-step explanation:

make them common denominatiers

(1/4)2 = 2/8

-7/8+2/8 = -5/8

58z-8=56z+11
What’s z

Answers

Answer:

z=19/2

Step-by-step explanation:

NEED HELPP!! WILL GIVE 60 POINTS AND BRAINILY TO THE BEST ANSWER!!!

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
a) 45 degrees
b) 60 degrees
c) 120 degrees
d) 135 degrees

Answers

Answer:

d) 135°

Step-by-step explanation:

x ; y =supplementary =>

=> x + y = 180

x = 3y

replace x

3y + y = 180

4y = 180

y = 180 : 4

y = 45°

x = 3y

x = 3×45°

x = 135°

Good luck !

Answer:

D

Step-by-step explanation:

Supplementary angle: sum equals 180 degrees cannot be a straight line(180 degrees).

Y.3 + X = 180

A.

45/3 = 15

45 + 15 = 60

B.

60/3 = 20

60 + 20 = 80

C.

120/3 = 40

120 + 40 = 160

D.

135/3 = 45

135 + 45 = 180

HELP PLEASSEEE QUICKLYY IM BEGGING

Train A and Train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 4h. Train B reaches station B after 3 1/2 h. Station A and Station B are 562.5 mi apart. What is the rate of the trains?

Answers

Hope this helps. If not lmk

LMN is a right triangle.
A. True
B. False

Answers

Answer:

A: True

Step-by-step explanation:

true!! because there is one right angle and you need at least one right angle for it to be a right triangle! hope this helps!

-5 = -10+ Plz help I’m stuck:(

Answers

Answer:

I'm sorry!! is that the way it's written exactly? Because If that's not it then I can't answer it for you. Because it's technically impossible. The answer I have for this is, "False" literally.

Step-by-step explanation:

Binomial expansion
(x+3)^3

Answers

Answer:

x ^3 + 9 x^ 2 + 27 x + 27

Step-by-step explanation:

Answer:

x+9

Step-by-step explanation:

square the 3 and keep the x

Sally prepaid
11/
the price of a ticket to a concert. The amount she prepaid was $15.
What was the total price of the ticket?

pls help

Answers

Answer: option c

good luck

Answer:

Step-by-step explanation:

30

The triangles are similar. Find the missing length x.

Answers

Answer:

36

Step-by-step explanation:

If the triangles have similar sides, any increase or decrease in side length is in equal number. This means equal ratio. How?

Let the common factor of decrease in side OD to AP be, z

[tex]\frac{30}{20} = z[/tex]

And, the common factor of decrease in side DT to PN be, z

[tex]\frac{x}{24} = z[/tex]

So, [tex]z = z[/tex]

[tex]\frac{30}{20} = \frac{x}{24}[/tex]

[tex]\frac{30}{20}[/tex] × [tex]24[/tex] = [tex]{x}[/tex]

Therefore,

[tex]{x}[/tex] = [tex]\frac{3}{2}[/tex] × [tex]24[/tex]

  = [tex]3[/tex] × [tex]12[/tex]

  = [tex]36[/tex]

h(t) = t + 2 + 3; Find h(6)

Answers

If you wanted a step by step:

6 = t in this case so simply plug in 6 to the equation and get 6 + 2 + 3, after adding you’ll have 11.

Answer: h(6) = 11
Answer:

h(6) = 11

Step-by-step explanation:

Hi there !

h(t) = t + 2 + 3

= t + 5

replace t = 6

h(6) = 6 + 5

= 11

Good luck !

. A train travels at 75 miles per hour. An equation can be written that compares the time (t) with the distance (d). What is the domain and range?

Answers

Answer:

The domain is time (t) and the range is distance (d).

Step-by-step explanation:

I TOOK THE Test

The time (t) is the domain and range is distance (d)

What are range and domain?

The word domain refers to a set of possible input values, on the other hand range refers to the set of possible output value.

How can I locate the domain?

Allow x to be an independent variable in the function y is equal to fx, and y is a reliant variable. A value for x is said to be in the domain of a function f if it successfully allows the production of a numerical result y using another value for x.

A train travels at 75 miles per hour.

An equation can be written that compares the time (t) with the distance

here, time (t) is independent value and distance (d) is dependent value which is dependent on time (t).

The domain is time (t) and the range is distance (d).

Learn more about domain and range here:

https://brainly.com/question/30133157

#SPJ2

A new amusement park ride that last one minute can have up to 1,200 Riders per hour. How many riders can ride per minute.

Pls help

Answers

Answer:

20

Step-by-step explanation:

1 hour = 60 minutes

1200 riders = 60 minutes: divide by sixty to set equal to 1

20 riders = 1 minute

Just divide 1,200 by 60 because there are 60 minutes in 1 hour.

Just think about it this way: If you eat 1 banana a minute, you eat 60 bananas an hour. The amusement park ride goes around once a minute. In one hour it goes around 60 times. Each time it carries the same amount of people.

1,200 divided by 60 is...

20!

The ride can carry 20 riders each ride, and each ride lasts a minute.

what is an equation of the line that passes through the points (-6,2)
and (-6,6)

Answers

The answer is 6.24x6.52

PLEASE HELP!! its due in 20 minutes and i dont get this

Answers

Answer:

Please see below :)

Step-by-step explanation:

The slope is just what's in front of the x!

So:

1.) slope = -1/4

2.) slope = undefined

3.) slope = -9

4.) slope = 9/2

Hope this helps!

Answer:

1. -1/4

2. undefined

3. zero

4. 6/5

Step-by-step explanation:

Find the percent decrease. Round to the nearest percent.
From 94°F to 70°F
The percent decrease is%

Answers

Answer:

-25.53%

Step-by-step explanation:

Sione just landed a great job as an engineer where he will make $55,000 a year. The company he will work for guarantees a 3% pay increase each year so it's employees' salaries keep up with inflation. At the end of the 1st year Sione will have made $55,000 dollars. What is the recursive function that will represent this situation?​

Answers

Answer:

s(x) = 55000*1.03^x

Step-by-step explanation:

First year salary

$55000

Annual pay rise

3% ⇔ 1.03 times

Functional relationship

It is going to be an exponential function as every year salary will increase 1.03 times

s(x) = 55000*1.03^x, where s- salary and x- number of employment years

Consider the function f(x) = 2 * (x - 20) ^ 2 - 3 What is the value of f(29) ?

Answers

Answer:

f(29) = - [tex]\frac{9}{290}[/tex]

Step-by-step explanation:

Step 1: substitute f(29) into the equation.

f(29) = 2(29 - 20)²⁻³

29 replaces x.

Step 2: simplify the exponent

f(29) = 2(29 - 20)⁻¹

2-3 is -1, so the exponent is -1

Step 3: distribute the exponent to the parentheses

f(29) = 2([tex]\frac{1}{29}[/tex] - [tex]\frac{1}{20}[/tex])

Since the exponent is a negative one, basically make it a fraction with the base as the denominator and the exponent as a numerator. I don't know too much about negative exponents, but this is how to factor in a -1.

Step 4: Distribute.

f(29) = [tex]\frac{2}{29} -\frac{2}{20}[/tex]

Step 5: Simplify before finding a common denominator (2/20 cancels out)

f(29) = 2/29 - 1/10

Step 6: Find a common denominator (290)

f(29) = [tex]\frac{20}{290}[/tex] - [tex]\frac{29}{290}[/tex]

Step 7: Simplify

f(29) = - [tex]\frac{9}{290}[/tex]

TBH I'm not sure this is correct, but I hope this helps =)

WILL GIVE Brainlist and thanks. Give reasons if possible
Help I’m actually stuck

Answers

Answer:

a is 64 b 125 c 36

Step-by-step

so you do 2 times 2 times 2 = 8 because there is a 3 so you multiply it by it self how ever many times the number above it says so after you do that its the same for the other number so they are both 8 so 8 times 8 is 64

a is 64

when simplifying expressions and they are the same base is you
1. multiple - add the exponents keep the base

2. divide - subtract the exponents keep the base

so when you have 2^3• 2^3 you will add the exponents which gives you 2^6 and then you simplify that down to your single integer

b is 36

6^7/6^5 = 6^2 which simplifies down to 36

i hope this kind of helps that is how i learned it

A deposit of $10,000 is made into an account that earns 6% interest. Use
your simple interest formula, I=Prt, to calculate the balance after 15 years

Answers

Answer:

  $19,000

Step-by-step explanation:

The balance is the sum of the principal amount and the interest it earns:

  A = P + I

  A = P + Prt

  A = P(1 +rt)

  A = $10,000(1 +.06×15)

  A = $19,000 . . . balance after 15 years

Find m_ABD and mZCBD given m ABC = 77º. A (3x + 22) D 16 (5x - 17) B C mZ ABD |° and mZCBD​

Answers

Answer:

∠ ABD = 49°, ∠ CBD = 28°

Step-by-step explanation:

∠ ABD + ∠ CBD = ∠ ABC , substitute values

3x + 22 + 5x - 17 = 77 , that is

8x + 5 = 77 ( subtract 5 from both sides )

8x = 72 ( divide both sides by 8 )

x = 9

Thus

∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°

∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

Answers

Answer:

The statement is;

The polynomial function has 3 roots with 2 being real roots and 1 being a complex root

Step-by-step explanation:

Here, we want to state the description of the number and nature of all roots for this function.

The statements are;

1. The polynomial have three roots

2. There are 2 real roots and 1 complex root

Answer:

A

Step-by-step explanation:

on edg 2020!

-(x+3)+ 3/4x + 5 = 0
Distributive Property
Brainly

Answers

Answer:

x=8

Step-by-step explanation:

Answer

  x=8

Step-by-step explanation:

x

P

(

x

)

1

0.4

5

0.1

8

0.2

1

0.1

14

0.2

 

x

P

(

x

)

0

0.23

1

0.37

2

0.22

3

0.13

4

0.03

5

2.01

6

0.01

x

P

(

x

)

0

0.24

1

0.34

2

0.22

3

0.13

4

0.03

5

0.01

6

0.03

If f() = 3 -3 and g(x) = 3x2 + x - 6, find (f+ g)(x).
O A. 3x?- 1x-3
B. 3x2 + x - 3
C. 4x2 - 9
D. 3x2 + x - 9

Answers

The answer is D to find (f+g)(x)
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