A telephone company offers two different types of billing. The first choice is to pay $10.00 per month plus $0.09 per MB of data. The second choice is to pay $16.00 per month plus $0.07 per MB of data.

How many MB of data would you have to use in one month in order for both plans to cost the same amount? Explain how you determined your answer.

Answers

Answer 1

Answer:

0.09x +10 is the first choice

0.07x +16 is the second choice (set the two data plans equal to each other)

0.09x +10 = 0.07x +16  (subtract 0.07x from both sides)

0.02x +10 = 16 (subtract 10 from both sides)

0.02x = 6  (divide both sides b 0.02 to isolate x)

x= 300 MB of data (the answer)

Step-by-step explanation:

I hope this helps :))


Related Questions

Identify the correct phrase to complete the statement.
A central angle has a measure of 1 radian if:
A. the length of the arc it intercepts is twice the length of the radius.
B. the central angle is 90°.
C. the length of the arc it intercepts is the same as the length of the
radius.
O D. the radius has a length of 1

Answers

Answer:

C.) the length of the arc it intercepts is the same as the length of the radius

Step-by-step explanation:

The length of the arc it intercepts is the same as the length of the

radius option (C) is correct.

What is a circle?

It is defined as the combination of points that, and every point has an equal distance from a fixed point (called the center of a circle).

As we know, the relationship between arc length and the central angle:

s = rθ

[tex]\rm \theta = \dfrac{s}{r}[/tex]

Where 's' is the arc length and θ is the central angle, r is the radius of the circle.

If θ = 1 radian

Then,

s = r

Thus, the length of the arc it intercepts is the same as the length of the

radius option (C) is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

A 2oz cup of frozen yogurt has 50 calories in it. How many calories are 7 oz?

Answers

ithink its 175 hahah:))

Is 2 a solution of 4x + 12= 4? Complete the statement. The equation is (true, false) when x = 2, so 2 (is, is not) a solution. WILL MARK BRAINLIEST

Answers

Answer:

The answer is false and is not

Explanation:

Given the equation - [tex]4x+12=4[/tex]

Substitute x = 2 in the equation

[tex]4(2)+12=4\\8+12=4\\20=4[/tex]

Thus, the equation is false. When the equation is false, meaning that the coordinate x-term isn't passed by the line. (Rather say that the point is not the part of the graph.)

The equation is false is our first answer.

If the equation is false, that means the given value is not part of the graph, thus making the x-value not the solution.

Answer:

The equation is FALSE when x=2, so 2 IS NOT a solution.

What is the solution to the system of linear equations shown below?

Answers

Answer:

(-3,4)

Step-by-step explanation:

The solution is determined by looking at the coordinates of the point of intersection of the two lines

HOW DOES THE GRAPH OF F(X) = 4(X - 3)^2 + 1 DIFFER FROM THE GRAPH OF G(X) = 2 (X -3)^2 + 1. please explain so i can understand!! thxx

Answers

Answer:

6732FDX

Step-by-step explanation:

Use calculator

PLEASE ILL GIVE 40 POINTS!!! How do the magnetic and electrical components of electromagnetic waves travel in relation to each other?

at right angles
toward each other
in a circular motion
parallel to each other

Answers

Answer:

im pretty sure it's right angles

Step-by-step explanation:

Answer:

they travel at right angles to each other in a bundle of light energy called a photon.. (probably, not sure)

Please refer to the following graph.
The line of reflection is the _____.
a. y-axis
b. center of rotation
c. x axis

Answers

Point C is 1 unit above the X axis and point c’ is 1 unit below the x axis, because they are equal distance from the x axis the line of reflection is the x axis

The answer is c.

Answer:

C

Step-by-step explanation:

Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063
kilometers long. Anping Bridge, which was built in China 850 years ago, is 2.07 kilometers long.
a. What is the total span of both bridges?
Show your thinking
b. How much longer is the Anping Bridge
than the Walkway Over the Hudson?

Answers

Answer: 4.126 km

Step-by-step explanation:

First, We have to find total span of both bridges

As Question indicates 'total' ,that is, we have to find bridge length in total ( You can join Bridges to have better understanding)

Now, Walkway over hundson Bridge length= 2.063 km

Amping bridge length= 2.07 km

So, Total span of both bridges = 2.063+2.07 = 4.133 km

b) Now Leah wanna walk across and back on walkway over hudson ,that is, she wanna return to starting point from where she walk forth

So,that means, she walk double distance of length of walkway over hudson

So, total distance = 2× 2.063

= 4.126 km

hope this helps,

Plzzs give brainliest if you like my answer.

Evaluate the expression for the given values

Answers

32 because (4•8•4)/4
(4•8)=32

For what values of X does the graph of y=2x^5+15x^4 have a point of inflection?

Answers

Answer:

The values of x are 0 and -4.5

Step-by-step explanation:

To find the inflection point, we simply find the second derivative

Mathematically, that will be calculated as follows

1st derivative

10x^4 + 60x^3

2nd derivative

40x^3 + 180x^2

Equate these values to zero

40x^3 + 180x^2 = 0

x^2(40x + 180) = 0

x^2 = 0

or 40x = -180

x = 0

or x = -180/40 = -4.5

More algebra, giving 15 points for this one.

Answers

Answer:

B

Step-by-step explanation:

11x - 6x + 20

combine like terms:

5x + 20

Write y – 3 = 23 (x – 2) in standard form. PLEASE HELP BEST ANSWER AND EXPLANATION WILL GET BRAINLIEST!!

Answers

Answer:

23x -y = 43

Step-by-step explanation:

in slope intercept form, we have y=mx+b where m=slope, b= y intercept

first let's simplify the expression 23(x-2)

y-3 = 23x - 23*2

y-3 = 23x - 46

now add 3 to both sides to move numbers to the right hand side

y -3 +3 = 23x -46 +3

y = 23x - 43

convert to standard form by having x and y on one side, numbers on the other.

add 43 to both sides

y+43 = 23x

subtract y from both sides

43 = 23x - y

please give thanks by clicking the heart button :)

What fact can we use to justify step 1?

Answers

I don’t know what the heck is

Answer:

c

Step-by-step explanation: i took jt

Which ordered pair represents the translation of R to S?

Answers

I believe it is -3, 5

If anyone knows the answer to this can you help me

Answers

Answer:

            C.    y + 7 = -7(x - 3)

Step-by-step explanation:

The equation of a line is:

                          y - y₀ = m(x - x₀)

where m is the slope and (x₀, y₀) is the point which the line passes through

The product of slopes of two perpendicular lines is  -1

so if given lines slope is ¹/₇ them:

     ¹/₇·m = -1

        m = -7

(3, -7)     ⇒    x₀ = 3,  y₀ = -7

Therefore:

               y - (-7) = -7(x - 3)

                y + 7 = -7(x - 3)

At o degrees Celsius, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of gas increases by two twenty fifths. Write an equation that represents the volume of the gas in terms of the temperature.

Answers

Answer:

[tex]V=\dfrac{2}{25}T+22[/tex]

Step-by-step explanation:

It is given that,

At 0 degrees Celsius, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of gas increases by 2/25.

If we take a cartesian coordinate, the line passes through (0,22). The slope of the line is 2/25.

The equation of a point-slope form is given by :

[tex]y-y_1=m(x-x_1)\\\\y-22=\dfrac{2}{25}(x-0)\\\\y-22=\dfrac{2x}{25}\\\\y=\dfrac{2x}{25}+22[/tex]

Here, x will be temperature and y will be volume. So,

[tex]V=\dfrac{2}{25}T+22[/tex]

Hence, the equation that represents the volume in terms of the temperature is [tex]V=\dfrac{2}{25}T+22[/tex]

Find the absolute value of -23.
A.-11.5
B.-23
C.0
D.23

Answers

Answer:

D. 23

Step-by-step explanation:

Absolute value Is the distance from zero a number is so -23 is 23 numbers away from zero

Chris has $100 in his saving account and he adds $20 a month to the account. The total amount can be represented by the linear function T=20x+100. His goal is to have a total of $300 in four months. What should he change in the function to reach this goal?

Answers

he should add $50 a month !!! T=50x+100

Solve the exponential equation: 6–2x = 62 – 3x
Question 1 options:

A)

4

B)

–2

C)

3

D)

2

Answers

Answer:

x = 56

Step-by-step explanation:

Collect like terms:

6 - 2x = 62 - 3x

-2x + 3x = 62 - 6

1x = 56

x = 56

Check your answer:

6 - 2(56) = 62 - 3(56)

6 - 112 = 62 - 168

-106 = -106

I don't understand the answer choices that are given. Please mark me the Brainliest!?!

Please answer this there is a link to the photo

Answers

Answer:

588

Step-by-step explanation:

In a factor tree, I mostly like to look from down to up so that I can track down the non-square number. In a square number, there must be two factors that are exactly the same as each other, and when multiplied gives that square number.

So based on the 5 × 5, 2 × 2, and 7 × 7, we can tell that 25, 4 and 49 are all square numbers. We move up one level. Since the factors of 196 are square numbers, 196 is also a square number since it consists of 2² × 7².

We move another step up. 588 consists of 3 and 196. We know that 196 is a square number, but 3 is a prime number, which means that 3 only has a factor of 3 and itself. Thus, 588 is not a perfect square number since there should be a double factor for 3.

graph each equation using slope and y-intercept. plot 3 points and find m and b.

(SHOW ALL WORK)

Answers

Answer:

Hope this helped you!! Have a Wonderful Day!!

Step-by-step explanation:

Every school day, Dylan rides the school bus 4.79 miles round trip between home and school. Estimate the total distance Dylan rode the school bus last month when there were 21 school days. Write an equation with an estimated answer.

Answers

Answer:

4.79 x 21 = 101 (rounded up from 100.59)

Step-by-step explanation:

James has 165 centimeters of yarn left. How many inches does he have left? please explain how to answer it

Answers

Answer:

64.9606

Step-by-step explanation:

165/0.393701

x^3+bx^2-4x-20=0
find b
find the roots​

Answers

Answer:p(x) = x^3 - 5x^2 - 4x + 20

Step-by-step explanation:

1, - 1, 2, - 2, 4, - 4, 5, - 5, 10, - 10, 20, - 20

P(2) = 2^3 - 5 × 2^2 - 4 × 2 + 20

= 8 - 20 - 8 + 20 = 0,

so, 2 is one of its roots (zeros)

So,

x - 2 is one of the factors of p(x)

So, on dividing p(x) by x - 2 we get

P(x) = (x - 2) (x^2 - 3x - 10)

= (x - 2) (x^2 - 5x + 2x - 10)

= (x - 2) {x (x - 5) + 2 (x - 5)}

= (x - 2) {(x - 5) (x + 2)}

P(x) = (x - 5) (x - 2) (x + 2)

For zeros, let p(x) = 0

=> (x - 5) (x - 2) (x + 2) = 0

Either

(x - 5) = 0

Or

(x - 2) = 0

Or

(x + 2) = 0

So, x = 5, 2, - 2

6n – 4 + 5n - 5 what is the awnser

Answers

Answer:

11n-9

Step-by-step explanation:

6n-4+5n-5

11n-4-5           Combine like terms

11n-9

What is the area of the trapezoid?I WILL GIVE brainliest! to the first person to answer correct

Answers

Answer:

30 i could be wrong

Step-by-step explanation:

sorry

Type the missing numbers in this sequence

Answers

Answer:

34 then 42

Step-by-step explanation:

big brainnnnnnnnn

figure it out.......

Plzzzz help me!!!!!!!!!!

Answers

Answer:

The most specific way you can name this shape is parallelogram.

4x-5=x+13 is the equation that can be used to solve for x.

3x = 18

x is equal to 6

AC is equal to 2*(6+13) = 2*19 = 38

PLEASE I NEED HELP NOW I ONLY HAVE 60 SEC LEFT TO ANSWER THIS

Answers

Answer:

0.6

Step-by-step explanation:

ill explain later GO GO GO

Answer:

1068

Step-by-step explanation:

1) the sum of 8 and t
3) the product of 5 and b

Answers

Step-by-step explanation:

When we say sum we are referring to addition.

And a number and a variable(letter) can't be added. So the sum of 8 and t can't be added.

The sum of 8 and t is;

8+t

When we talk about product or finding the product of a number we are referring to the number we get after multiplying two or more numbers.

And note that with multiplication, a number and a variable(letter) can be multiplied.

The product of 5 and b is;

5×b=5b

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