MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of
cleaning.
x ll y
5 ll 108
10 ll 88
15 ll 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.

b. How much cleaner is in the tank when the cleaning begins?

C. After how many minutes is the tank empty?

Answer:

x = 11/7

Step-by-step explanation:

[tex]7x+6-2x=12x-7+2\\\\5x+6=12x-5\\\\5x+6-5x=12x-5-5x\\\\6=7x-5\\\\6+5=7x-5+5\\\\11=7x\\\\\frac{11}{7}=\frac{7x}{7}\\\\\frac{11}{7}=x[/tex]

Answer:

-4*20+3*190=490

2*20+190=230

-2*20-3*190=-610

Answer:

one solution.

Step-by-step explanation:

using elimination, u can get one solution

Answer:

Let the youth and adult tickets be y and x respectively.

6y + 5x ---> (1)

From statement (1):

(1) × 14

84y + 70x

For every 70 adult tickets sold, 84 youth tickets were sold.

Total number of tickets sold= 70 + 84

                                              = 154

Answer:

x  = 18

Step-by-step explanation:

6 − x = −12

subtract 6 from both sides

- x = - 18

divide both sides by -1

x = 18

Answer:

x=18

Step-by-step explanation:

6 - x = -12

-6        -6

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

    -x = -18

*divide by -1*

 x = 18

hope this helps! :D

have a MIRACULOUS day!! <3

Step-by-step explanation:

the function actually is

y = 40(x - 1) + 70 = 40x - 40 + 70 = 40x + 30

still, the slope (the factor of x) is 40.

that means y (the cost) increases by 40 for every additional hour (x increases by 1).

so, the rate of change (slope) is 40/1 = $40 per hour.

Hi!

To solve this, we simply use the equation shown in the image below:

What this means is the change in y over the change in x.

We use the two points and plug them in the equation like so:

[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]

Therefore your answer is [tex]\frac{6}{5}[/tex].

Hope this helps! Have a fantastic day! :D

Let me know if you need any other help.

Answer:

x + 23 = 2x - 41

Step-by-step explanation:

I'm not too sure how to explain the correctness of the answer but I know that it's:

x + 23 = 2x - 41

Answer: THe Second answer is the correct one

Step-by-step explanation:

Answer:

y = 3x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

25 km / 100 km/hr = 0.25 hr or 15 minutes

It will take 0.25 hours to travel 25 km.

Given

A train travels from point A to B at a speed of 100km/h.

Distance;

Distance is defined as the product of speed and time.

The following formula is used to calculate the time;

[tex]\rm Time =\dfrac{Distance}{Speed}\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Time =\dfrac{Distance}{Speed}\\\\\rm Time =\dfrac{25}{100}\\\\Time = 0.25 \ hours[/tex]

Hence, it will take 0.25 hours to travel 25 km.

To know more about distance click the link given below.

https://brainly.com/question/3615948

The distance Janessa traveled on the new tires with the given size is 26,470.25 miles.

The given parameters:

The diameter of the smaller tire is calculated as follows;

[tex]0.85 = \frac{h}{230} \\\\h = 0.85 \times 230 \\\\h = 195.5 \ mm\\\\h = 195.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 7.7 \ in[/tex]

diameter of the smaller tire;

D = 2(7.7 in)  + 18 in

D =  33.4 in

The circumference of the smaller tire;

[tex]C_1 = \pi D\\\\C_1 = 3.142 \times 33.4 \\\\C_1 = 104.94 \ in[/tex]

The diameter of the larger tire is calculated as follows;

[tex]0.85 = \frac{h}{250} \\\\h = 0.85 \times 250 \\\\h = 212.5 \ mm\\\\h = 212.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 8.37 \ in[/tex]

diameter of the larger tire;

D = 2(8.37 in)  + 21 in

D =  37.74 in

The circumference of the larger tire;

[tex]C_2 = \pi D\\\\C_2 = 3.142 \times 37.74 \\\\C_2 = 118.58 \ in[/tex]

After one rotation, the larger tire will travel the following distance more than  the smaller tire;

[tex]n = \frac{C_2}{C_1} = \frac{118.58}{104.94} = 1.13[/tex]

The distance Janessa traveled on the new tires when her odometer shows she has traveled 23425 miles;

[tex]distance = 1.13 \times 23,425\\\\distance = 26,470.25 \ miles[/tex]

Learn more about tire sizes and distance traveled: https://brainly.com/question/4822144

Answer:

thx m8

Step-by-step explanation:

:)

Answer:

No idea but ok

The maximum distance between the walkers at any given time is (a) 18 meters

Lucas' equation on the circular path is given as:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

Noah' equation on the circular path is given as:

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

The equation of a circle is represented as:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

Where:

So, we rewrite both equations as follows:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]

The radii of both equations are:

[tex]r_1 = 8[/tex]

[tex]r_2 = 10[/tex]

The maximum distance between the walkers at any given time is the sum of the radii

[tex]r = r_1 + r_2[/tex]

So, we have:

[tex]r = 8 + 10[/tex]

This gives

[tex]r = 18[/tex]

Hence, the maximum distance between the walkers at any given time is (a) 18 meters

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

36 meeters

Step-by-step explanation:

trust me bro

Answer:

Monthly $431

Total Pay: 25,859.82

intrest: 1,873.82

Answer:

Please give me Brainliest!

Step-by-step explanation:

President Kennedy's position on the expense of the space program was that  it would be well worth the high cost.

Explanation:

The general sentiment of the 1960s was extremely in favor of the space race and the Us was heavily invested in the exploration of the space even as the costs for doing so were soaring exorbitantly high.

The President understood this and so did not want to tinker with the hopes and aspirations of the common people who had come to love these efforts.

These efforts were also a matter of great national pride and thus seen well worth the cost they incurred on the people and the tax-paying part of the country.

Answer:

the answer is c a increasing line

Answer:

20

Step-by-step explanation:

t=1

u=2

t+8+u+8+1=1+8+2+8+1=20

Answer: $54.66

Step-by-step explanation:

The 18% turns into 0.18, they mean the same thing.

46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)

Add tip to the cost.

46.32 + 8.34 = 54.66

Correct me if it is incorrect.

Answer:

x=23/4, y=-33/4

Step-by-step explanation:

3x+y=9

7x+y=32

3x+y=9

y=9-3x

7x+y=32

7x+(9-3x)=32

7x+9-3x=32

4x+9=32

4x=23

x=23/4

3x+y=9

3(23/4)+y=9

69/4+y=9

y=-33/4

The solution set to the given system of linear equations is -

{x} = 5.75 and {y} = - 8.25.

Given is a system of linear equations as -

3x + y = 9

7x + y = 32 ​

We can write -

3x + y = 9

y = 9 - 3x

Now, we can write the equation as -

7x + y = 32

7x + 9 - 3x = 32

4x + 9 = 32

4x = 23

x = 5.75                         .... (1)

The, we can write {x} as -

y = 9 - 3 x 5.75

y = 9 - 17.25

y = - 8.25                         ... (2)

Therefore, the solution set to the given system of linear equations is -

{x} = 5.75 and {y} = - 8.25.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Answer:

A. false

b. true

c. false

Step-by-step explanation:

Answer:

2 × n - 1 = x

Step-by-step explanation:

1 times 2 is 2-1 is 1.

2 times 2 is 4-1 is 3.

And so on.

1 TO 7 2 TO 5 3 TO 1  4 TO 3

Answer:

8 512 =8 X 8 X 8

Step-by-step explanation:

Answer:

24.010

Step-by-step explanation:

hope it helps

Answer:

3 months, 6 months, interest is 1 point or 0.01 for every percent, 2010.35, peanut butter but why is this a question, 0.77, It is similar to a snowball because as time goes on the account grows at the same percent but it is more money so it is a larger amount. This is very common in dividend investing. next question, yes it is a percent, simple because compound is always more or the same, I would say principal but I am not sure

Step-by-step explanation:

Answer:

first you need a problem to solve.

Step-by-step explanation:

what is the question here?

[tex]\\ \sf\longmapsto tanC=\dfrac{AB}{BC}[/tex]

[tex]\\ \sf\longmapsto tan17=\dfrac{AB}{206}[/tex]

[tex]\\ \sf\longmapsto AB=0.3(206)[/tex]

[tex]\\ \sf\longmapsto AB=61.8ft[/tex]