Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Hey mate here is your answer.

➛ 6(x-2) = 4(x+3)

➛ 6x-12 = 4x + 12

➛ 6x - 4x = 12 + 12

➛ 2x = 24

➛ x = [tex] \frac{24}{2} [/tex]

⛬ x = 12

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

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

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

Answer:

A

Step-by-step explanation:

9/5 and 19/10 so yeah hope it helps

Answer:

C. 15/10 and 21/14

Explanation:

A P E X

Answer:

The answer is B

Step-by-step explanation:

If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)

Answer:

5(m+9) = 5m+25

Answer:

5(m+9) = 5m+25

Step-by-step explanation:

durrrrrrrrrrrrrrr

Answer:

Slope of a line = rise/run

Your answer:

m = 8/5

Answer:

(-5, 0.5)

Step-by-step explanation:

-12+2/2= -5

-9+10/2= 0.5

(-5, 0.5)

Answer:

-1

Step-by-step explanation:

slope = ΔY  / ΔX  = 5/(-5)=-1

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6! Hope this helps have a great night!!!!

Step-by-step explanation:

May I plz have brainliest?

Answer:  see below

Step-by-step explanation:

29) -5x ≥  30

    ÷ -5 ↓ ÷ -5

        x  ≤ -6

Graph:       ←--------- ·

                            -6

Interval Notation: (-∞, 6]

30) -4x <  -40

    ÷ -4 ↓ ÷ -4

        x  >   10

Graph:       o---------→

                10

Interval Notation: (10, ∞)

31) 2x - 5 ≥  -11

         +5    +5

     2x      ≥  -6

    ÷ 2       ÷ 2

        x   ≥   -3

Graph:       · ---------→

                -3

Interval Notation: [-3, ∞)

32) 8 - 3x > 20

    -8         -8

        -3x >  12

     ÷ -3  ↓ ÷ -3

          x  <  -4

Graph:       ←---------o

                            -4

Interval Notation: (-∞, -4)

33) 4x - 11 < 7x + 4

    -7x       -7x      

   -3x  - 11  <   4

          + 11   +11    

   -3x       <    15

 ÷ -3      ↓ ÷ -3

         x  >    -5

Graph:       o---------→

                  -5

Interval Notation: (-5, ∞)

Answer:

[tex]2x + 1200[/tex]

Step-by-step explanation:

[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]

Each new line represents the change stated in the question.

Answer:

33.6+(-5.5)=28.1

Step-by-step explanation:

Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.

To evaluate the expression, we can do 33.6-5.5.

When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.

33.6-

 5.5

Then you can subtract normally, getting 28.1

Step-by-step explanation:

ATQ,

Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.

She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.

So,

m = 2d .....(1)

m + d = 120 ...(2)

We can also solve the above equations,

Put m = 2d in equation (2)

2d + d = 120

3d=120

d = 40

Put d = 40 in equation (1)

m = 2(40)

m = 80

Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.

Answer:

d+m=120

d=2m

​

Step-by-step explanation:

Answer:

the 2nd and 4th i think

Step-by-step explanation:

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

Answer:

Symmetric

Step-by-step explanation:

Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).

Step-by-step explanation:

Answer:

Values are:

x x²

10 100

5

Answer:

hi… I think it's written that way

Answer:

1147 days

Step-by-step explanation:

3x365= 1095

7x7=49

1095+49+3=1147

Answer:

the product of the two integers is -80

Answer:

-80

Explanation:

it was on a mathcounts competition

Answer:

1/3 of a pound .333

Step-by-step explanation:

6/2 =3

1/3= .333

Answer:

1/3 to 1 and 1 to 3

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

Answer:

4.995

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Answer-24

Step-by-step explanation:

3 x -4 x 2

6 x -4 =

-24

Answer:

C

Step-by-step explanation:

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

~ an aesthetics lover

Answer:

C

Step-by-step explanation:

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 9[tex]\sqrt{3}[/tex]

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

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9[tex]\sqrt{3}[/tex] and y = 9 → C

Answer:

A

Step-by-step explanation:

Remember that parallel lines have the same slope.

The y-intercept does not matter.

We have the two equations:

[tex]y=x+4[/tex]

And:

[tex]y=x-2[/tex]

The slope is the coefficient in front of the x.

In the first equation, we can rewrite it as:

[tex]y=(1)x+4[/tex]

Therefore, the slope of the first equation is 1.

Similarly, for the second equation, we can rewrite it as:

[tex]y=(1)x-2[/tex]

The slope of the second equation is also 1.

Therefore, since their slopes are equivalent, they are parallel.

Thus, our correct answer is A.

Answer:

8.58

8.508

7.5

7.058

Step-by-step explanation:

Answer:

8.58, 8.508, 7.5, 7.058

Step-by-step explanation:

Um, I think this means greatest to least.

8.58, 8.508, 7.5, 7.058

Look at the place values.

Answer:

C: (2,3)

Step-by-step explanation:

to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you