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

a. Find a linear equation representing he 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?

Answer: Only j = 2

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Explanation:

Let's solve for j

[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]

In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.

The last step shows that j = 2.4 or j < 2.4

So j is 2.4 or smaller.

Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.

---------------------------

If j = 2, then,

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]

which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.

Something like j = 8 does not work because

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]

which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.

Of the list given, j = 2 is the only solution.

______________________________

So this is False.

So this is False.

So this is True.

So this is False.

______________________________

Answer:

15-25

Step-by-step explanation:

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area = [tex]2\pi r^2 + 2\pi rh[/tex]

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

Answer:

3y+2x+5y+3x

Step-by-step explanation:

sepreate the varible numbers from the reguler

Answer:

left 4 up one because the coordinates are -4 , 1

Answer:

the first one (-4, 1)

Step-by-step explanation:

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

Answer:

Mean score of 90 students = 77.2

Step-by-step explanation:

Mean score of 50 students from school A = 75

Mean score of 40 students from school B = 80

We need to find mean score of the 90 students?

First we will find sum of scores of students from school A

We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]

We have Average = 75, Number of terms = 50, We need to find Sum of terms (scores)

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\75=\frac{Sum\:of\:Terms}{50}\\Sum\:of\:Terms= 75\times 50\\Sum\:of\:Terms=3750[/tex]

So, Sum of scores for School A = 3750

Now, we will find sum of scores of students from school B

We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]

We have Average = 80, Number of terms = 40, We need to find Sum of terms (scores)

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\80=\frac{Sum\:of\:Terms}{40}\\Sum\:of\:Terms= 80\times 40\\Sum\:of\:Terms=3200[/tex]

So, Sum of scores for School B = 3200

Now, We will find mean score of the 90 students?

Mean score of 90 students will be:

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\Average=\frac{3750+3200}{90}\\Average=\frac{6950}{90}\\Average = 77.2[/tex]

So, mean score of 90 students = 77.2

Answer: K=3

Step-by-step explanation: Have a nice day!-Lily ^_^

Answer:

If its in parobola form here is your answer

Step-by-step explanation:

y=5(x+1/5)^2-26/5

Answer:

Yes.

Step-by-step explanation:

Answer:

c = 28

Step-by-step explanation:

2 * 6 -5 = 7

4 * 7 =28

hope it help

plz fo"ow me

Answer:

y=2x+1

Step-by-step explanation:

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

Answer:

1. 37/100

2. 2 2/5 or 12/5

3. 33/100

Step-by-step explanation:

Answer: 37/100.

2 2/5.

33/100

Step-by-step explanation:

I recommend using symbolab.com for further steps and calculator

Answer:10x^2-27x+5. 10x2−27x+5 10 x 2 - 27 x + 5. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite ...

Step-by-step explanation:

The solution of the equation:

x = -0.28 to the nearest tenth.

x = 4.53 to the nearest tenth.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation,

4x²-27x-5 = -10x

Simplifying,

4x²-27x-5 + 10x = 0

4x²-17x-5 = 0

So,

x = {-(-17) ± √(289 + 80)}/8

x = (17 ± √369) / 8

When we take - sign,

x = - 0.276

x = -0.28 to the nearest tenth.

When we take + sign,

x = 4.526

x = 4.53 to the nearest tenth.

Therefore, the values are x = -0.28 and x = 4.53.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ2

Answer:

19-37=18

18÷3=6

she scored (6) 3-points

Answer:

4

Step-by-step explanation:

what you would do is 19-3 and get 16 then add 3 until you get 37. you would have to cout how many times you counted up 3, here we go,16,19,21,24,27,30,33,36 we have a remainder but she made 8 shots. so since we are 1 short we have to divide by 2 to get 4.

hope this helped, pls mark brainliest

Answer:

Step-by-step explanation:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

okay so look at the image down below

Step by Step explanation:If 2x+3y=425 and 3x+2y=350 find x and y. 1 ... If the sides of a right triangle are 3^2 ,4^2 and Y what are both possible values of y^2? I figured ...

1 answer

Missing: 400 ‎| Must include

Answer:

30.3% im so sorry if this is wrong if it is u can report this :(

Step-by-step explanation:

Answer:

23.3%

Step-by-step explanation:

You have to first take the estimated value - the actual value

= 145-189 = -44

Then you want to take -44 divide the actual value which is 189

= -44 / 189= 0.232804233

Lastly, you want to take 0.232804233 and multiply it by 100

= 0.232804233 x 100= 23.28042328

Round that number to get

=23.3%

Answer:

(0, -4)

Step-by-step explanation:

Answer:

I like that you watch wwe for one. but lets get started

the answer itself is m< 4=87

Step-by-step explanation:

Answer:

The answer is 87°

Step-by-step explanation:

A quadrilateral has an interior angle sum of 360°.

Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:

89° + 80° + 104° + x° = 360°.

All you have to do is add all the measures up and subtract from 360°.

89° + 80° + 104° + x° = 360° →

273° + x° = 360° →

x° = 87°.

Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.

A quadrilateral is a polygon with four sides so it's interior angle sum must be

(4 – 2) × 180° = 2 × 180° = 360°.

Answer:

10,441

Step-by-step explanation:

1576/8=197

197x8=10,441

Answer:

2c+8

Step-by-step explanation:

this is because we are using 2 to open up the brackets. You will multiply c by 2 and 4 by 2.

Answer:

y= 0,4 x=0,3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 chipped + 16 not chipped = 20 total

4 / 20 = 1/5 or 20% chance that vase will be chipped

Set up a proportion or find 20% of 10.

[tex]\frac{1}{5} = \frac{x}{10}[/tex]     x = 2 (ten is on denominator because it's the total amount of vases)

or 10 * 0.2 = 2