A cable company charges $70 per month for cable service to existing customers.

a. Write a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.

b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.

c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?



50 points to answer it. I need help it's the last question of my homework.

Answers

Answer 1

Answer:

a: y=70x

b: y=70x+100

c: They are parallel to each other, with equation b's line being 100 dollars above equation a.

Step-by-step explanation:

They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.

Answer 2

c)

Step-by-step explanation:

everybody use their cable difference so when you graph out the amount of cable which come with data the previous customers data and cable rates would be different then the new customers and the company should be able to tell that . but it still does happen today


Related Questions

What is 1/4 times 24.80

Answers

Answer:

6.2 is the answer you are looking for

The body of a dump truck is raised to empty a load of dirt. How high is the 10 inch body from the frame when it is tipped upward at 45 degrees

Answers

Answer:

7.071inches

Step-by-step explanation:

The set up is a right angled triangle

Given 'angle of elevation = 45 degrees

The length of the frame = 10in (hypotenuse)

Required

Height of the truck h (opposite)

Using the SOH trig identity

sin theta = opposite/hyp

sin 45 = h/10

h = 10sin45

h = 10(0.7071)

h = 7.071 in

Hence the height of the truck is 7.071inches

HELP PLEASE!!


The question: Are these two quantities in a proportional relationship? Explain why or why not. Use number or words to explain your answer.

Answers

Answer:

Yes it is correct.

Step-by-step explanation:

It is correct because .75 time 3 is 2.25 and .75 times 4 is 3.00 and .75 times 6 equals 4.50 and .75 times 8 equals 6.00.

plx help i need to get this so I can be ungrounded ​

Answers

Answer:

2

Step-by-step explanation:

I agree 2- why’d you get grounded

Can someone please help

Answers

Answer:20 minutes

Step-by-step explanation:

It would be 20 because 55+5= 60 which is an hour and then 5+15=20

Hope this helps

Have a great day/night

418/36 as a mixed number

HELP PLEASE

Answers

Answer:

11 11/18

Step-by-step explanation: a quick search

Substitute x=-2y into the expression 6x-7 and simplify

Answers

Answer:-12y -7

Step-by-step explanation: I think

Answer:

-12y - 7

Step-by-step explanation:

x = -2y

6x - 7 or 6(-2y) - 7

-12y - 7

How many groups of 3/4 are in each of the following quantities?


Type your response in each box below.


1. 11/4 has __

groups of 3/4.


2. 6 1/2 has ___

groups of 3/4.

Answers

Answer:

  vb\

Step-by-step explanation:

An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?

Let d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course)d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course). Use a significance level of α=0.1 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course.

Student 1 2 3 4 5 6 7
Score on first SAT 500 380 560 430 450 360 560
Score on second SAT 540 470 580 450 480 400 600

Required:
a. State the null and alternative hypotheses for the test.
b. Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
c. Compute the value of the test statistic. Round your answer to three decimal places.
d. Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to three decimal places.
e. Make the decision for the hypothesis test.

Answers

Answer:

Since the calculated value of t = -0.215  falls in the critical region so we accept Ha that SAT prep course improves the students' verbal SAT scores and reject the null hypothesis at significance level 0.05.

e. These results support the claim that the SAT prep course improves the students' verbal SAT scores.

Step-by-step explanation:

Student                        1      2      3       4      5         6          7

Score on first SAT    500   380 560   430  450    360    560

Score on second SAT 540 470 580  450    480    400    600

Difference d                -40  -90   -20    -20    -30     -40     -40     ∑ -280

d²                               1600  8100 400 400   900   1600  1600   ∑14600

a. Let the hypotheses be

H0:  ud= 0      against the claim Ha: ud ≠0

The degrees of freedom = n-1= 7-1= 6

The significance level is 0.05

The test statistic is

t= d`/sd/√n

The critical region is ║t║≤ t (0.025,6) = ±2.447

d`= ∑di/n= -280/7= -4

Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]

= 1/6[14600-(-4)²/7] = [14600-2.2857/6]= 2432.952

b. Sd= 49.3249= 49.325

Therefore

c. t= d`/ sd/√n

t=   -4/ 49.325/√7

t= -4/18.6435 = -0.2145= -0.215

d. Since the calculated value of t = -0.215  falls in the critical region so we accept Ha that SAT prep course improves the students' verbal SAT scores and reject the null hypothesis at significance level 0.05

e. These results support the claim that the SAT prep course improves the students' verbal SAT scores.

Which of the following is a factor of x^4 - 5x^3 + 3x^2 + 15x - 2
A. 2x+3
B. x-3
C. 3x+1
D. Not factorable

Answers

Answer:

D. Not factorable

Step-by-step explanation:

6) Which of the following angles is coterminal with -495 degrees?
45 degrees
135 degrees
225 degrees
315 degrees

Answers

Answer:

225 degrees

Step-by-step explanation:

-495 +360 until you get to one of the answers.

round 427963 to the nearest thousand

Answers

Answer:

428,000

Step-by-step explanation:

427,963

If the number behind what number you're trying to round is greater than 4 then the number you're rounding goes up once while everything behind it goes to zero. If it's below 5 than the it well stay the same. Ex. Round nearest tenth--> 14--->10  instead of it going up to 20 it stays 10.

427,963

      ^

This number is higher than 4 so the number in front or the thousand mark goes up a number.

428,000

Someone else already answered so I figured I'll tell you how to round it, hope this helps.

HELP ME PLLLEEASSEE!!

Answers

Answer:

C

Step-by-step explanation:

bc i’m right

The circle graph shows the preferences of town residents for the new playground equipment in a park

If 240 residents responded to the survey, how many residents preferred each type of playground equipment


Swings:

residents

Sandbox: residents



Obstacle course: residents

Answers

Answer:

swings: 120 (50%)

obstacle course: 80 (1/3)

sandbox: 40

Step-by-step explanation:

we know by looking, that swings makes up 50%, so we divide 240 by 2 to get 120

the obstacle course makes up one-third, 1/3 of 240 is 80

add 120+80 to get 200

to find the sandbox amount, do 240 minus 200 and we get 40

The circle graph is used to show how variables measure against one another using a circle of different sectors.

There are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings

The number of residents is given as:

[tex]n = 240[/tex]

From the given circle graph, we have the following proportions

[tex]Sandbox = 1/6n[/tex]

[tex]Obstacle = 1/3n[/tex]

[tex]Swings= 1/2n[/tex]

So, the number of residents in each equipment is:

[tex]Sandbox = \frac 16 \times 240[/tex]

[tex]Sandbox = 40[/tex]

[tex]Obstacle = \frac 13 \times 240[/tex]

[tex]Obstacle = 80[/tex]

[tex]Swings =\frac 12 \times 240[/tex]

[tex]Swings =120[/tex]

Hence, there are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings

Read more about circle graphs at:

https://brainly.com/question/796269

Find the quotient: 8,358 ÷ 27 = ________.
309 r 15
309 r 26
310 r 15
310 r 26

Answers

Answer:

the answer is 309 r 15

Step-by-step explanation:

309 × 27 is 8343 and your left with 15

3d - 5+4d +5=140 how do i solve this i need help

Answers

Answer:

3

5

+

4

+

5

=

1

4

0

3d{\color{#c92786}{-5}}+4d+{\color{#c92786}{5}}=140

3d−5+4d+5=140

3

+

4

=

1

4

0

3d+4d=140

3d+4d=140

2

Combine like terms

3

+

4

=

1

4

0

{\color{#c92786}{3d}}+{\color{#c92786}{4d}}=140

3d+4d=140

7

=

1

4

0

{\color{#c92786}{7d}}=140

7d=140

3

Divide both sides of the equation by the same term

7

=

1

4

0

7d=140

7d=140

7

7

=

1

4

0

7

\frac{7d}{{\color{#c92786}{7}}}=\frac{140}{{\color{#c92786}{7}}}

77d​=7140​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

2

0

d=20

d=20

Solution

=

2

0

hope it help

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation: combine like terms

7d = 140

then divide

140/7

20

At the end of school, Josh's teacher handed out 27 coupons for bowling during the summer to each student. The third week of
summer, he accidentally threw away 15 of them when he cleaned his room. The last week of summer, he decided to use the
remaining coupons evenly over 3 days.
If he did not use any of the coupons until the last week of summer, how many coupons did he use on each of the 3 days?

Answers

The answer would be 4 Coupons

A system of equations is shown on the graph below How many solutions does this system have?
no solutions
one unique solution
two solutions
an infinite number of solutions

Answers

Answer:

There is only one solution.

Step-by-step explanation:

The two lines only cross once, so there is one solution.

If the lines did not cross at all, there would be no solutions.

If the lines crossed twice, then there would be two solutions.

If the lines were on top of one another, they would be the same line, and have an infinite amount of solutions.

A system of equations is shown on the graph below has Unique solution.

What is Line segment?

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

The graph is shown in figure.

Now,

Since, In the graph the two line segment cut into one point.

Hence, The system of equation shown in graph has Unique solution.

Thus, A system of equations is shown on the graph below has Unique solution.

Learn more about the system of equation visit:

https://brainly.com/question/12526075

#SPJ6

a man goes 10m due east and 24m due north find the distance from the starting(pls help )

Answers

Answer:

26m

Step-by-step explanation:

10^2+24^2=26^2

(1/2(7x3))^3= plz help

Answers

Answer:

1/2 X 7 X 3 X 3 = 31.5

Step-by-step explanation:

L. Han ran 10 meters in 3 seconds, Priya ran 10 meters in 4 seconds, a. Who ran faster? Explain how you know,​

Answers

Answer:

L. Han

Step-by-step explanation:

L. Han only took 3 seconds and Priya took 4 seconds so L. Han won by one second.

Hope this helps!

Brainiest?

Answer all questions and the topic is about ordering decimals and don't answer if u do not know.

Answers

Answer:

31. 0.93, 0.9, 0.33

27. 6.13, 6.14, 6.31

28. 3.09, 3.19, 3.9

29. 12.96, 12.83, 12.8

25. 9.06, 9.6, 9.66

26. 0.09, 0.67, 0.86

Step-by-step exp

A room is 8 meters
long. How many
centimeters is the
room?

Answers

Answer:

800 centimeters:))

There is 800 cm in the room.

To convert a meter measurement to a centimeter measurement, multiply the length by the conversion ratio. The length in centimeters is equal to the meters multiplied by 100.

How many centimeters is the room?

A room is 8 meters long.

A room is 1 meter long = 100cm

A room is 8 metres long = 8*100cm = 800 cm.

Learn more about units on : https://brainly.com/question/20788801

#SPJ2

Which Figure has a line sysmmetry F,H,J,L,R

Answers

Answer:

njnjfsdnjfe

Step-by-step explanation:

Answer:

we cant see

Step-by-step explanation:

can anyone help please...........????​

Answers

Answer:

112 Degrees

Step-by-step explanation:

The other angle is inverse making X also 112 Degrees

Y=5+2x fill in the table using this function rule

Answers

Step-by-step explanation:

hope it helps you..........

There are 230 students in the six grade and 1/5 of them have green eyes how many six graders have green eyes

Answers

Answer:

46 of the sixth graders have green eyes.

Step-by-step explanation:

This question is asking what number of the 230 sixth graders have green eyes.

We know that one out of every five of them, or 20%, have green eyes.

1/5 = 0.2

If we multiply 0.2 by the total number of sixth graders, that leaves us with 46, meaning that 46/230 sixth graders have green eyes.

I hope this helps!


The ratio using a colon is

Answers

a ratio?

What numbers a provided

HELP PLS! ILL MARK BRAINLIEST!

Sean drink a slushy as fast as he could. The amount of Slushii left in a cup (in milliliters) as a function of time (in seconds) is graphed. How fast did Sean drink the slushy?

A. 8 mL per second
B. 0.8 mL per second
C. 1 mL per second
D. 10 mL per second

Answers

i think b sorry if it’s wrong :(

A giant tortoise moves at a slow but steady pace. It takes
the giant tortoise 3 seconds to travel 10.5 inches.
How many inches will the tortoise travel in 1 second?

Answers

the answer should be that it will take the tortoise 1 second to travel 3.5 inches
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