The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.

Rule C gives the monthly cost, in dollars, of using g gigabytes of data on Company C's plan. Rule D gives the monthly cost, in dollars, of using g gigabytes of data on Company D's plan.

Which is less, C(4) or D(4)? What does this mean for the two phone plans?

Answers

Answer 1

The solution: is C(g) = 10 + 15g, C'(g) = 80.

Monthly pricing for utilizing 2 Gigabytes of data at Company C.

Detailed explanation:

Company C's cell phone plan is $10 per month + $15 for every gigabyte of data utilized. Company D's monthly fee is $80 and includes unlimited data.

The monthly cost for using g gigabytes of data at Company C is now: C(g) = 10 + 15g.... (1)

Again, the monthly cost for using g gigabytes of data at Company D will be as follows: C'(g) = 80......... (2) (2)

Statement C(2) = 10 + 15 2 = 40 represents Company C's monthly charges for utilizing 2 Gigabytes of data use, according to equation (1).

Thanks for your question. I had an interesting time solving this.


Related Questions

Tell which value of the variable is the solution of the equation. 128÷n​=16; n=​5, 6​, 7​, 8

Answers

Answer:

8

Step-by-step explanation:

128/n * n = 16 * n

128 = 16n

128/16 = 16/16 n

n = 8

50 POINTS IF ANSWERED PLS!!!!!
triangle ABC is an isosceles triangle. find the missing angles and side measures.

Answers

Answer: Angle A= 70 degrees and AC= 12 cm.

Step-by-step explanation: Isosceles have two equal sides and angles. We can see this by the red lines and angle signs.

whatt is the answer i need answers like right now I'm going to fail

Answers

Answer:

1/2

Step-by-step explanation:

we can make this a fraction

29/59

if we look at our answer choices it is not 0 and it is not a whole number yet and definitely not 2 but it is close to 1/2

29/59=0.49

1/2= 0.5

Which are very close to each other

Hopes this helps please mark brainliest

-2x + 15y + z = 44
4x + 3y + 3z = 18
-3x+6y-z = 8

Answers

The system of equation is inconsistent as these three equations does not give any solution.

How to solve three variable equations?

In comparison to equations with two variables, a three-variable linear equation requires a little more work to solve. The extra variable is the cause of this complexity.

Even if there are various ways to solve this kind of equation, the elimination technique is still the simplest.

To solve three variable linear equations using the elimination approach, follow these steps:

1. Avoid using fractions and decimals and write all the equations in standard form.

2. Pick an appropriate variable to remove.

3. Remove the chosen variable from any two of the three equations.

4. Choose another set of the two equations, and then take the same chosen variable out.

5. For the two variables they each include, solve the two equations from stages three and four.

6. Replace the answer in fifth step.

7. Reverify by putting them again in the equation.

So according to these given Equations we have to find the value of x, y and z respectively,

-2x + 15y + z = 44

4x + 3y + 3z = 18

-3x+6y-z = 8

After solving these three equations we do not get any solutions.

Hence the system of equations is inconsistent.

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Compare the function f(x)=3x-1/2 to the function shown in the graph. Which statements are correct?

Answers

Answer: B

Step-by-step explanation:

For [tex]f(x)=3x-\frac{1}{2}[/tex], comparing it with slope-intercept form yields that the slope is [tex]3[/tex] and the [tex]y[/tex]-intercept is [tex]-1/2[/tex].

For the graphed function, the slope is [tex]\frac{-4-0}{-2-6}=\frac{1}{2}[/tex] and the [tex]y[/tex]-intercept is about [tex]-3[/tex].

Since the absolute value of the slope of the graphed function is less than that of [tex]f(x)[/tex], option B is correct.

A French class has students while a Spanish class has twice as many.
The Spanish class has nine more students than the French class. Find the value of f.

Answers

Students in french class are 9 and in Spanish are 18 , according to given equation.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.

Main body:

According to question:

A French class has students while a Spanish class has twice as many.

let french class have f students then Spanish class will have 2f students.

The Spanish class has nine more students than the French class.

which means

2f - f = 9

f = 9

hence students in french class are 9 and in Spanish are 18 .

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(a) Work out 3.67 x 4.2

Answers

Answer:

15.414

Step-by-step explanation:

 3.67

x 4.20 ← the zero is your 'holding' spot so to speak

 000 ← 0 x 7, 0 x 6, 0 x 3

.7340 ← 2 x 7, 2 x 6 + 1, 2 x 3 + 1

14.6800 ← 4 x 7, 4 x 6 + 2, 4 x 3 + 2

15.414

Fill in the blanks to create an equation with infinite solutions:



7x + 19 = 4x + x - 12 +

Answers

Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.

Given that,

We have to find the fill the blank of the equation with infinite solution is 7x+19= 4x+x-12+------

We know that,

Take the equation

7x+19= 4x+x-12+------

We have to find the missing terms so that the right hand side is equal to left hand side.

Right hand side is 7x+19

Left hand side is 4x+x-12+------

5x-12+----

To get 7x we have to add 2x and to get +19 we have to add 31 to left hand side.

5x-12+2x+31

7x+19

Therefore, Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.

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please help ill give alot of points

Answers

Answer:

Paulina is reading a book with 677pages total. If she has already read 345 and plans to read 23 pages a day, how many days, x, will she nees to read at that pace until she finishes the entire book?

Step-by-step explanation:

[tex]345 + 23x = 677[/tex]

23x=677-345

x=677-345/23

x=332/23

x= 14.43 days

3)In the figure below
segments PM and AD are medians.
What is the length of segment AD?
A. 22.5
B. 10
C. 9
D. 7

Answers

Answer:

i think they are similar figures therefore AD/PM=AC/PR,16/24=x/15,AD=22.5

Help me asp please thanks before 11:59 do 9 and 10

Answers

Answer:

9) compress

10) translate right 8 units

Step-by-step explanation:

Each X=.........student​

Answers

Answer:

x = 1 student.

Step-by-step explanation:

Help y’all I need this by tonight, I don’t know this ahhhhhh- I gotta do thi in 9th grade ;-; , -1/9(-5/13)

Answers

 

The answer will be 5/117.

Let us understand the process. First, we have to do -\

1/9x{-5/13).

Then we have to then calculate -1x-5 which is equal to 5.

Again, we have to calculate 9x13 which is equal to 117.

Therefore, the answer will be 5/117.

To know more about -1/9(-5/13) :

A table of values is shown.

Show work

Answers

This is my method.

Take two points.

(X₁ = -8, Y₁ = 8)

(X₂ = -3, Y₂ = 4.875 or 4 7/8)

Equation of a straight line:

y = mx + b ------(i)

Step 1: Calculating Slope (m).

[tex]\frac{y_2-y_1}{x_2-x_1 }[/tex]

[tex]\frac{4.875-8}{-3--8}[/tex]

[tex]\frac{-3.12500}{5}[/tex]

[tex]m=-0.625[/tex]

Now putting value of m in equation (i)

  y = -0.625x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (-8,8) for calculating y-intercept:

y = mx + b

8 = -0.625(-8) + b

8 = 5 + b

3 = b

b = 3

Now putting value of b in equation (ii)

y = -0.625x + 3

This is slope-intercept form, now let's convert to point-slope formula.

⇒ [tex]y-2.375=-0.625(x-1)[/tex]

The perimeter of a regular octagon with side s is 8s. James is making a planter shaped like an octagon to surround the base of his favorite oak tree. Each side of the planter will be 9 inches long.

What is the perimeter of the planter?

Answers

The perimeter of the planter 36s

How can determine the perimeter?

The perimeter of a regular octagon with side s is 8s.Each side of the planter will be 9 inches long.

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter.

The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter.

The perimeter of a regular octagon with side s is 8s.

Each side of the planter will be 9 inches long.

so

9*4 =36

The perimeter of the planter is 36s.

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Factorise this expression as fully as possible

2xy^2 + 8y

Answers

Step-by-step explanation:

[tex]2xy^2 + 8y[/tex]

2y is the common factor so:

[tex]2y(xy + 4)[/tex]

Which graph represents a linear function?

Answers

Answer:

the 4th graph

Step-by-step explanation:

Linear functions are straight lines.

The factor tree for 3,025 is shown.

A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right.

What is the simplest form of StartRoot 3,025 EndRoot?

Answers

Therefore, In order to complete this activity, we must have understanding of divisibility, which leads us to discover that:

3025 is [tex]5^{2} (11)^{2}[/tex]

What is factor tree ?

A number's factors, and more specifically its prime factorization, can be expressed as factor trees. There are factors for each branch of the tree. The branch comes to an end and the number is circled once the factor at the branch's end is a prime number, leaving only itself and one as potential factors.

Here,

Since divisibility is the capacity of a number to lose value, we determine that:

=> 3025/5 =605

=>  605/5=121

=> 121/11=11

=> 11/11=1

=[tex]5^{2} (11)^{2}[/tex]

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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)? y = –one-thirdx 5 y = –one-thirdx 3 y = 3x 2 y = 3x − 5

Answers

The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5

What is slope intercept form ?

The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.

The slope intercept form of a straight line equation can be written as :

y = mx + c

Where

m = slope = (change in the y-value) axis's / (change in the value of x in the x axis)

The given line's equation is

y = - x/3 + 5

Slope = - 1/3 as compared to the slope intercept form.

The slope of one line is equal to the negative reciprocal of the slope of the other line if two lines are perpendicular.

As a result, the slope of the line through (3, 4) is 3.

In order to calculate the intercept, we would replace m with 3, x with 3 and y with 4

The equation becomes

4 = 3 × 3 + c

c = -5

putting the value of c and m in the slope intercept form equation

We get

y = 3x - 5

The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5

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Answer:

A.) y = –3x + 4 and y = –3x – 4

Step-by-step explanation:

The first equation of a system of equations is y = -3x + 4 and the second equation is y = -3x - 4.

We can see that both equations have the same slope of -3 and have different y-intercepts of 4 and -4, respectively.

Because the two lines are parallel, they will never intersect and will overlap each other, resulting in an infinite number of solutions.

Therefore, the system of equations y = –3x + 4 and y = –3x – 4 has infinitely many solutions.

a lemonade can have a radius of 1.5 in and a height of 9 in the can is made from a sheet of aluminum that weighs 0.02 Oz per square inch you received $0.35 per pound of aluminum that you recycle how much do you earn recycling 38 cans

Answers

Answer:

1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer

2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000

3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer

4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer

5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale

6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar

7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar

8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar

Piper works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would piper make in a week in which she made $2050 in sales? how much would piper make in a week if she made xx dollars in sales?.

Answers

If a piper will make $2050 in sales in a week than she will get 557.5$ including her commission and salary.

What is commission in money?

A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.

As she makes a guaranteed salary of $250 per week

and  paid a commission equal to 15% of her total sales for the week

if  she made $2050 in sales in a week

so calculating it 15% commission

=(15x2050)/100

=307.5$

now adding the salary with commission:

=$250+307.5$

=557.5$

so this is the amount piper make will in this a week.

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Answer: it’s raining tacosss. From out of the skyyYYy.

Step-by-step explanation:kit tu litter

Anthony charges $15 an hour for tutoring and $10 an hour for babysitting. He can work no more than 14 hours a week. How many hours should anthony spend on each job if he wants to earn at least $125 each week?.

Answers

If he wants to make $125 by working 14 hours per week, he must invest 17 hours in babysitting and -3 hours in tutoring.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Cost of tutoring=$15

Cost of babysitting=$10

Total time he can give=14 hours

Total amount he wishes to earn=$125

Let x be the time he gave to tutoring and y be the time he gave to babysitting,

x+y=14

x=14-y

15x+10y=125

15(14-y)+10y=125

210-15y+10y=125

5y=85

y=17

x=-3

He should spend 17 hours on babysitting and -3 hours on tutoring if he want to earn $125 by working 14 hours per week.

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Pls help! I found a linear function, but I don't understand, what should I do with a and b

Answers

The cost of each desk is $42.

The initial cost to make these new school desks is $635.

What is a solution of linear function?

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Assume that the cost of each desk be m.

The initial cost to make these new school desks be c.

Then the total cost will represent by the equation:

y = mx + c .....(i)

Putting x =21 and y = 1517 in the equation (i)

1517 = 21m + c ...(ii)

Putting x = 47 and y = 2609 in the equation (i)

2609 = 47m + c ...(iii)

Subtract equation (ii) from (iii)

47m + c =2609

21m + c = 1517

(-)     (-)     (-)

___________

26m = 1092

Divide both sides by 26

m = 42

Putting m = 42 in equation (ii)

1517 = 21 × 42 + c

1517 = 882 + c

c = 1517 - 882

c = 635

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Manas is half his sister's age.
She is eight years younger than
Uncle Mike. Mike is the sum of a
dozen and a score.

In how many years time will the sum of Manas' age and his
sister's age be 48 years?

Answers

Answer: In 6 years the sum of Manas' age and his sister's age will be 48 years.

Step-by-step explanation:

We know that value of a dozen is 12 and the score is 20.

Hence,

Uncle Mike's age = 12+20 = 32 years

Since Manas' sister is 8 years younger than Mike,

Her age = 32 - 8 = 24 years

We know that Manas is half her age. Therefore,

Manas' age  = 24 ÷ 2 = 12 years

After x years the sum of Manas' age and his sister's age will be 48 years.

Manas' future age = (12 + x) years

His sister's future age = (24 + x) years

The Sum of their ages is 48 years. Hence,

(24 + x) + (12 + x) = 48

36 + 2x = 48

2x =  48 - 36

2x = 12

x = 12 ÷ 2

x = 6

Therefore, in 6 Years sum of their ages is 48 years.

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Need help giving Brainly to the answer. thank u

Answers

Answer: 26

Step-by-step explanation:

let t = thomas's age

104 = (3t) + t

104 = 4t

t = 26

Answer: 26 years old

Step-by-step explanation:

    We will write a system of equations to help us solve, let h be equal to Huilan's age and t be equal to Thomas's age.

         h = 3t

         h + t = 104

    Now, we will solve by substituting the first equation into the second.

    Then, we will simplify the equation on the left side by combining like terms and dividing both sides of the equation by 4 to isolate the variable.

         h + t = 104

         (3t) + t = 104

         4t = 104

         t = 26


$39 pizza order; 15% tip

Answers

Answer: $44.85

Step-by-step explanation:

Take 39 times 0.15% = $5.85

39 + 5.85 = $44.85

The total cost is $44.85

Answer: 44.85

Step-by-step explanation:

15% of 39 = 5.85

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2011, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 1141.
Years since 2011 (x) New Cases (y)
0 814
1 825
2 854
3 869
4 947

Answers

A linear regression equation that represents this set of data is y = 31x + 799.8.

The calendar year in which the number of new cases would reach 1141 is 2022.

How to write the linear regression equation?

In this scenario, the Year since 2011 (x) would be plotted on the x-axis of the scatterplot while the New cases (y) would be plotted on the x-axis of the scatterplot.

On the Excel sheet, you should right click on any data point on the scatterplot, select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.

By critically observing the scatterplot (see attachment) which models the relationship given in the table for the Year since 2011 (x) and the New cases (y), an equation for the linear regression is given by:

y = 31x + 799.8

Now, we can estimate the calendar year in which the number of new cases would reach 1141:

1141 = 31x + 799.8

31x = 1141 - 799.8

31x = 341.2

x = 341.2/31

x = 11.0

Calendar year = 2011 + 11

Calendar year = 2022.

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for an experiment involving 2 levels of factor a and 3 levels of factor b with a sample of 5 in each treatment condition, what is the value for dfwithin?

Answers

The value for df within in an experiment with two levels of factor a and three levels of factor b and five samples for each treatment condition is between 3.

Explain the term levels of factor?In a two-way ANOVA, the 2 separate variables are known as factors. Two variables, or factors, are supposed to influence the dependent variable. There will be two or even more levels inside each factor, and there are one less degrees of freedom per factor than there are levels.

Let n1 represent factor A's level of freedom.

Let n2 represent factor B's degree of freedom.

If factor A has five levels, then n1 = 2.

If Factor B has seven levels, then n2 = 3.

The formula is used to express how the degrees of freedom interact;

df = (n1 - 1)+(n2 - 1) (n2 - 1)

df = n1 -1 + n2- 1

df = n1 + n2 -2

Replace n1 and n2 to obtain df;

df = 2 + 3 - 2

df = 3

Thus, the value for df within in an experiment with two levels of factor a and three levels of factor b and five samples for each treatment condition is 3.

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Max bought 12 apples for $6.00 .Find the cost of 1 apple.Find the cost of 24 apples

Answers

Answer:
Cost of 1 apple- $0.50
Cost of 24 apples- $12.00
Step-by-step explanation:
Start by finding the cost of one apple by dividing the cost of the apples by the amount of apples you purchased.
The once you found the unit value take the amount per apple and multiply that by amount of apples they are wondering, to get the cost of 24 apples.

The nth term of a sequence

Answers

The first three terms of the given sequence are 1, -3, and -7 respectively.

What are sequence and series?

An arrangement of numbers in a specific order is referred to as a sequence. The total of a sequence's components, on the other hand, is known as a series.

Given, the [tex]n^{th}[/tex] term of a sequence is: [tex]u_{n}[/tex] = 5 - 4n

We need to find the first three terms, then n= 1, 2, 3 respectively

So, first term, n = 1, [tex]u_{1}[/tex] = 5 - 4*1 = 5 - 4 = 1

second term, n = 2, [tex]u_{2}[/tex] = 5 - 4*2 = 5 - 8 = -3

third term, n = 3, [tex]u_{3}[/tex] = 5 - 4*3 = 5 - 12 = -7

Hence, the first three terms of the sequence are 1, -3, and -7 respectively.

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