Kyle had cable television installed in his house. At the time of installation, there was an initial charge of $199 for the cable box and a setup fee of $49. There is a monthly charge of $79 for cable services. His total bill over a certain number of months, m, was $880. Choose an equation that represents the total costs of Kyle's cable installation and monthly charge. Then, choose the number of months he has had cable

Answer: -6x^2 + 3x + 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the question

A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.

Options

The stated solution is correct (lengths of 16 feet and 8 feet).

Based on the way the variable is defined, the equation should be x + 2x = 24.

The equation is written correctly, but there is an error in solving the equation.

The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

2

Let the length of one piece be x (shorter piece) and the other be y.

If the rope is cut into two pieces and 24ft long, then;

x+y = 24.......... 1

If one piece is half the length of the other, then x = y/2..... 2

substitute equation 2 into 1

y/2 + y = 24

take the LCM

y+2y/2 = 24

3y/2 = 24

cross multiply

3y = 48

Divide both sides by 3;

3y/3 = 48/3

y = 16 feet

Since x = y/2

x = 16/2

x = 8 feet

Based on the calculation above, I can conclude that;

- The student stated solution is correct (lengths of 16 feet and 8 feet)

- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

- Based on the way the variable is defined, the equation should be x + 2x = 24.

Answer:

x= 5 -y/2

y=10-2x

Step-by-step explanation:

solve for Y                solve for X        

2x + y= 10                   2x+ y=10              subtract y from each side

-2x        -2x                       -y=10 -y

       y=10-2x                    2x=10 -y

                                        2x/2=  10 -y/2  multiply both sides by 2

                                              x= 5 - y/2

Answer:

im not 100 percent sure but i think its the taipei 101

Step-by-step explanation:

im brain dead and i dont even trust myself but i passed the quiz so hope this helps

Answer:

C. they took the same amount of time

Step-by-step explanation:

Answer:

583 miles

Step-by-step explanation:

Let's draw this out (see attachment).

The straight line path creates the hypotenuse of a right triangle with legs of lengths 300 and 500. So, we use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 300 and b = 500. Then:

300² + 500² = c²

90000 + 250000 = c²

340000 = c²

c = √340000 ≈ 583.1 ≈ 583 mi

Thus, the answer is 583 miles.

~ an aesthetics lover

Answer:

15

Step-by-step explanation:well, if 8x^8 goes north, and 5 miles south the answer would be 15 because 8x^8 N and 5 miles S using the phemols, it would be 15.

Answer:

t = 4.2 h

Step-by-step explanation:

We can calculate the time taken by the car to travel 400 miles, easily by taking a difference of time in graph between 0 miles and 400 miles value:

t₄₀₀ = 3.5 h - 0 h

t₄₀₀ = 3.5 h

Now, we calculate the constant speed of the car from the following formula:

s = vt

v = s/t

where,

v = velocity of the car = ?

s = distance covered by the car = 400 mi

t = time taken = 3.5 h

Therefore,

v = 400 mi/3.5 h

v = 114.28 mi/h

Now, for this uniform speed the time taken to cover the distance of 480 miles will be:

114.28 mi/h = 480 mi/t

t = (480 mi)/(114.28 mi/h)

t = 4.2 h

Answer:

i think somebody invented math just so he could torture people

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

60.4miles/hr

Step-by-step explanation:

Given parameters:

 Distance covered by the car = 145miles

 Time taken  = 2.4hrs

Unknown:

Average speed of the car  = ?

Solution:

Average speed is the rate of change of distance with time;

   Average speed  = [tex]\frac{distance}{time}[/tex]

Input the parameters and solve;

   Average speed  = [tex]\frac{145}{2.4}[/tex]  = 60.4miles/hr

Answer:

C. -7.4

Step-by-step explanation:

-(5(-2) + 2) + (3(3) + 2(-4.2))

(-10+2) + (9 + -8.4)

-8 + 0.6

-7.4

9514 1404 393

Answer:

  A.

Step-by-step explanation:

The function f has a y-intercept of -5. The function g's y-intercept of -1 is 4 units up from that, so one way to represent g is ...

  g(x) = f(x) +4

The required function is g(x) = f(x) + 4. Hence, Correct option is A.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

According to the graph,
The given curve has y intercept at y = -5.
Which implies that when we add 4 to the function intercept shifts to  y = -1 although it is the required intercept of new function g(x).

Thus, the required g is  g(x) = f(x) + 4

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer:

2.4 cm

Step-by-step explanation:

The scaled dimension on the drawing [tex]=[/tex] (Scale-factor) [tex]\times[/tex] (Original dimension)

She decides to draw 1cm for the original length of 0.5m=50 cm.

For this, the scaled dimension on the drawing=1cm and

the original dimention=50 cm

So, the scale-factor = 1/50.

As the kitchen door is 1.2m wide, i.e the original width of the door is 120 cm.

So, the scaled width of the door is

[tex]120\times \frac{1}{50}=2.4 cm.[/tex]

Hence, on the drawing, the width of the kitchen door should be 2.4 cm.

Answer: x=20

Step-by-step explanation: 40/2=20

Answer:

true

Step-by-step explanation:

If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

H^2= 441+64

H^2=505

[tex] \sqrt[2]{505} [/tex]

H=22.4

Answer:

9/44

Step-by-step explanation:

12 * 15

55  16

12 * 15 = 180

55 * 16 = 880

180

880

/2

90

440

/2

45

220

/5

9

44

Answer:

-6 or negative six in words

OPPOSITE OF A NUMBER IS ALSO KNOWN AS INVERSE

Answer:

-6

Step-by-step explanation:

Answer: x > 4

.........................

Answer:

X< -4

Step-by-step explanation:

15 - 3x < 5x -17

15 - 17 < - 3x - 5x

-2 < 8x

X= - 4

Answer:

4 pounds of bannanas and 2 pounds of guava

Step-by-step explanation:

2 pounds of bananas equals 1 guava

Step-by-step explanation:

5x+x+90=360

6x=360-90

6x=270

x=270/6

x=45

Answer:

Distributive property

Step-by-step explanation:

when you distribute the left sid dit equals the right

Answer:

0

Step-by-step explanation:

-2-(-4)-2

We can break down the problem first. The beginning of the problem is...

-2-(-4)

Two negatives make a positive. An equivalent way to say this is

-2+4

-2+4=2

Next, we can solve for the last part. At the end of the equation, you have to subtract 2, so that's what we'll do!

2-2=0

The answer to this is 0!

I hope you understood the explanation...have an amazing day!!!! :3

a = -1/2

Hope this helps :)

Answer:

a = -1/2

Step-by-step explanation:

-1/4a - 4 = 7/4a - 3

-a/2^2 - 4 = 7/ 2^2 a - 3

(-a) - ( 2^2) 4 / 2^2 = 7a/ 2^2 - 3

a = -1/2

I know this confusing but this how I got the answer.

I hope this helps

Given:

On a map to cities are about 50 mm apart.

Scale is 1 cm equals 15.5 miles.

To find:

The distance between two cities.

Step-by-step explanation:

We have,

1 cm = 15.5 miles

It means

10 mm = 15.5 miles             [1 cm = 10 mm]

Now,

10 mm on a map = 15.5 miles

1 mm on a map = [tex]\dfrac{15.5}{10}[/tex] miles

                          = 1.55 miles

50 mm on a map = 50 × 1.55 miles

                            = 77.5

Therefore, the two cities are 77.5 miles apart.

Answer:

41 large deliveries and 1 small delivery

Step-by-step explanation: Multiply 8.25 x 41 = 338.25

Then take 338.25 and add 5.50 and you should get 343.75

42.5 i think

The whole angle is 127 minus the angle we know (32) this leaves us with 85 for the rest of the angle but we still have to deal with the angle bisector so we divide it by 2 leaving us with 42.5 I'm pretty sure.

Answer:

4910.8672217

Step-by-step explanation:

I dont have a step by step, i am so sorry

Answer:

4910.8672217

Step-by-step explanation:

Answer: C) 25%

Step-by-step explanation:

Answer:

62789

Step-by-step explanation: