Max started a trip with of a tank of gas. At the end of his trip, Max had of a tank left. How much gas did Max use on the trip?

Answer:

y = 5x - 22

Step-by-step explanation:

In this question, we have to find the equation of the line.

We know that the slope is 5 and passes through (5, 3) on the graph.

We know that our equation must be in slope-intercept form: y = mx + b

To find our y-intercept, or "b", we would plug in our given information and solve for b.

Solve for b:

3 = 5(5) + b

3 = 25 + b

Subtract 25 from both sides.

-22 = b

This means that our y-intercept is -22. We can now make our equation with our new information:

y = 5x - 22

The equation of the line is y = 5x - 22

Answer:

$430.40

Step-by-step explanation:

7.6% of 400 = 0.076 × 400 = 30.4

Answer:

8x^23 i think

Answer:

Option C.

Step-by-step explanation:

If you see it says the frequency of black is 5, and there is 6 people. So if you do your math correctly it will equal 12.5%. Hope this helps!

Answer:

360

Step-by-step explanation:

I just done the quiz and got it right :) Choice C! Have a great day! Sub to my YT Channel plz

The permutation of 6 things taken 4 at a time is 360 So, option C is correct.

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

The permutation of 6 things taken 4 at a time.

It is calculated as follows;

[tex]^6P_ 4[/tex] = 6!/(6-4)! =6!/2!

[tex]^6P_ 4[/tex] = (6×5×4×3×2×1) ÷ (2×1)

[tex]^6P_ 4[/tex] = 720/2  = 360

So, option C is correct.

Learn more about permutation ;

https://brainly.com/question/10148445

#SPJ2

Answer: 3

Step-by-step explanation:

Answer:

ifs 9

Step-by-step explanation:

ndjdjkskdkdjjdjgjgjfjg mg hb

Answer:

The greatest common factor is 9.

Step-by-step explanation:

9 is the largest number that divides evenly into all three of those numbers and still produces an integer.

Answer:

m= -1/2, (0,5), (10,0)

Step-by-step explanation:

Let us write it in slope intercept form, y=mx +b where m is the slope:

2x+4y=20

4y= -2x+20

y= -1/2x+5

Therefore, the slope is -1/2

The y intercept can be found when we substitue 0 as x.

y= -1/2*0 +5

y=0+5

y=5

(0,5)

The x intercept can be found when we substitute 0 as y.

0=-1/2x+5

-5 =-1/2x

x= 10

(10, 0)

I hope this helped! :)

Answer:

m = 1/4  (the slope is 1/4)

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

Explanation:

(0,1)

(4,2)

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

0 +4 = 4   <-- x value

1 +1 = 2   <-- y value

As we know, [tex]m=\frac{y}{x}[/tex] , so it's going be [tex]\frac{1}{4}[/tex]

Answer:

Kindly refer to below explanation.

Step-by-step explanation:

Given equation of line:

[tex]\dfrac{x}{a}cos\theta+ \dfrac{y}{b}sin\theta =1\\OR\\\dfrac{x}{a}cos\theta+ \dfrac{y}{b}sin\theta-1=0[/tex]

Given points are:

[tex](\sqrt{a^2-b^2},0), (-\sqrt{a^2-b^2},0)[/tex]

Formula for distance between a point and a line is:

If the point is [tex](m, n)[/tex] and equation of line is [tex]Ax+By+C = 0[/tex]

Then, perpendicular distance between line and points is:

[tex]Distance = \dfrac{|Am+Bn+C|}{\sqrt{A^2+B^2}}[/tex]

Here,

[tex]A = \dfrac{x}{a}cos\theta\\B = \dfrac{y}{b}sin\theta\\C = -1[/tex]

For the first point:

[tex]m = \sqrt{a^2-b^2}, n = 0[/tex]

By the above formula:

[tex]p[/tex] and [tex]p'[/tex] can be calculated as:

[tex]p\times p' =\\\Rightarrow \dfrac{|\dfrac{cos\theta}{a}\times \sqrt{a^2-b^2}+ 0 -1|}{\sqrt{\dfrac{cos^2\theta}{a^2}+\dfrac{sin^2\theta}{b^2}}}\times \dfrac{|-\dfrac{cos\theta}{a}\times \sqrt{a^2-b^2}+ 0 -1|}{\sqrt{\dfrac{cos^2\theta}{a^2}+\dfrac{sin^2\theta}{b^2}}}\\\Rightarrow \dfrac{1-(\sqrt{a^2-b^2}\times \frac{cos\theta}{a})^2}{\dfrac{cos^2\theta}{a^2}+\dfrac{sin^2\theta}{b^2}}}[/tex]

Formula used:

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

[tex]\Rightarrow \dfrac{\dfrac{a^2-a^2cos^2\theta+b^2cos^2\theta}{a^2}}{\dfrac{b^2cos^2\theta+a^2sin^2\theta}{a^2b^2}}\\\Rightarrow b^2(\dfrac{a^2sin^2\theta+b^2cos^2\theta}{a^2sin^2\theta+b^2cos^2\theta})\\\Rightarrow b^2[/tex]

(Using the identity:

[tex]sin^2\theta +cos^2\theta = 1[/tex])

(Hence provded)

Answer:

i wanna say -80?

Step-by-step explanation: so when you go from -8 to -11 its counts by 3 -11 to -14 its 3 so count up to get our answer.   i just seen how many was in each 5 set which was 12 so i did -20 -12 so then i just added up and got -80

Answer:

2/3 × 9/5 = 18/15 = 6/5 if need to simplify. or 1 1/5

Step-by-step explanation:

Answer:

I

Step-by-step explanation:

Don´t know

Answer:

20z + 6y = 90

z + y = 10

Step-by-step explanation:

Step-by-step explanation:

20x = 6y= 90

x + y =10                        20x + 6y = 90

y=10-x                              6y= 90-20x

                                        y=90-20x

                                            ---------

                                              6

                                 y=15 - 10/3x

y=10

y=15-10/3

Answer:

the answer would be 1700 but ima not sure! hope this helps

Step-by-step explanation:

Answer:

an exponential growth function to represent this situation is:

[tex]x\left(t\right)=100,000\times \left(1.09\right)^t\:[/tex]

Step-by-step explanation:

We know that the exponential growth function is of the form

[tex]x\left(t\right)\:=\:x_0\:\times \:\left(1\:+\:r\right)^t[/tex]

where

In our case,

Given that

A social media website had 100,000 followers its first year. Thus,

The number of followers increased by 9% each year. Thus,

Thus, substituting r = 0.09 and x₀  = 100,000 in the growth function

[tex]x\left(t\right)\:=\:x_0\:\times \:\left(1\:+\:r\right)^t[/tex]

[tex]x\left(t\right)=100,000\times \left(1+0.09\right)^t\:[/tex]

[tex]x\left(t\right)=100,000\times \left(1.09\right)^t\:[/tex]

Therefore, an exponential growth function to represent this situation is:

[tex]x\left(t\right)=100,000\times \left(1.09\right)^t\:[/tex]

Answer:

3y+5

Step-by-step explanation:

You will have to distribute the negative to (y-2).

4y+3-y+2

3y+5

Answer:

(4y + 3) - (y -2)

(4y + 3) - y + 2

3y + 3 + 2

3y + 5

Answer:

[tex] \sqrt[3]{125} = \sqrt[3]{5 \times 5 \times 5} = 5[/tex]

Answer:

The angle is 90*

Step-by-step explanation:

Since B to D is 45*, we can double that angle to equal 90* because it shares line BD to ABC

Answer:

it will be 175 / 100 = 7 / 4 okay

Answer:

12% decrease

Step-by-step explanation:

[(new value - old value) / old value] x 100

(22 - 25) / 25 = -3/25 = -0.12

-0.12 x 100 = -12%

when you have a negative it indicates a decrease rather than an increase

Answer:

-8g

Step-by-step explanation:

If it is in that order:

You can either do

1g(same a just g)-9g

or

-9g+1g and you get -8g for each

I think its b i don't know ok

Answer: b

Step-by-step explanation:

X is defined for all numbers on the domain starting at x=0. It doesn’t show or mention a cutoff/equation in the picture so it’s safe to assume it continues forever

To find the domain from the graph, you have to focus only x-axis because domain is the set of x-value.

From the graph, we can see that domain starts at x = 0 and keeps going and going positive infinitely. That means the domain must be greater or equal to 0.

Here is an easier way to understand

[tex]\large \boxed{ \sf{left/start}} \Longrightarrow \large \boxed{ \sf{right/end}}[/tex]

[tex] \large \sf{left = 0} \\ \large \sf{right = + \infin}[/tex]

And if we combine both, we get

[tex]0 \leqslant x \leqslant + \infin[/tex]

But we don't usually write positive infinity, therefore we convert to

[tex]0 \leqslant x \longrightarrow x \geqslant 0 \\ x \geqslant 0[/tex]

[tex]x \geqslant 0[/tex]

If you have any questions related to this answer, feel free to ask in comment.

To find the domain from the graph, you have to focus only x-axis because domain is the set of x-value.

From the graph, we can see that domain starts at x = 0 and keeps going and going positive infinitely. That means the domain must be greater or equal to 0.

Here is an easier way to understand

[tex]\large \boxed{ \sf{left/start}} \Longrightarrow \large \boxed{ \sf{right/end}}[/tex]

[tex] \large \sf{left = 0} \\ \large \sf{right = + \infin}[/tex]

And if we combine both, we get

[tex]0 \leqslant x \leqslant + \infin[/tex]

But we don't usually write positive infinity, therefore we convert to

[tex]0 \leqslant x \longrightarrow x \geqslant 0 \\ x \geqslant 0[/tex]

[tex]x \geqslant 0[/tex]

If you have any questions related to this answer, feel free to ask in comment.

Answer: C

Step-by-step explanation: The graph shows "Height" and "Seconds" not only the height, meaning its "the number of seconds it takes the ball to reach its maximum height"

Answer:

C

Step-by-step explanation:

The number of seconds it takes the ball..

Answer:

Multiply the radius by 2

Step-by-step explanation:

The diameter of a circle is 2times the radius of the circle. Do you know the radius? If so multiply that number by 2 and get the answer

Answer:

The width of the rectangular park is 40m.

Step-by-step explanation:

We are given that the area of a square has the same area as the rectangle (the fact that they're parks doesn't matter)

We are also given one length side of the square, and since squares have all equal sides, we know all the side lengths are 60m.

To find Area, we do L * W, so it would be 60 * 60 = 3600.

That means the area of the rectangle park is 3600m. One side of the rectangle is 90m, so the formula is L * W = A. So we plug in known values of the rectangle which would be 90 * W = 3600. To find W, we do 3600/90 which is 40.

Let me know if you have any questions

Answer:

2 and 1/2 = 2.5

2.5 divided by 3 = 0.83

0.83 x 2 = 1.66 or 1 and 2/3 gallons of paint left

Step-by-step explanation:

Hope this helps! Have a nice day!