12 gallons of gas cost $30. How much will it cost to get an additional 4 gallons of gas? ​

Answer:

In these types of algebra problems where we are given numbers that are "unknown" and asked to find them, it is a good idea to give them names.

Let the larger number be X.

Let the smaller number be Y.

If the larger number is three times the smaller number, we can use this information to write an equation, using our labels for the two unknown numbers. See how I translate this sentence into an equation:

The larger number is three times the smaller number.

                    X           =     3     *               Y

X = 3*Y

We've got one equation down. Since we have two variables, we're going to need two equations to solve for both of them.

The sum of two numbers is twenty-four.

                      X    +    Y    =     24

X+Y = 24

But, from our previous equation, we know that X is the same as 3*Y. This allows us to substitute "X" with "3*Y" in our second equation since the two are equal according to the first equation.

(3*Y) + Y = 24.

3Y + Y = 24

4Y = 24

4Y / 4 = 24/4

Y = 6

Now we've got the value of the smaller number. Let's plug it into our first equation,

X = 3*Y.

X = 3*(6)

X = 18

We can check our work by plugging both values into both equations and seeing if they work out:

6+18 = 24  

6*3 = 18

So our bigger number is 18, and our smaller number is 6.

Hope it helps!

Answer:

2<-1

Step-by-step explanation:

7s-9<6s-10

-6s. -6s.

S-9<-10

+9. +9

S<-1

Answer:

5/12

Step-by-step explanation:

Please give me brainliest

SIMPLEST FORM

3/9 = 1/3——-not originally in simplest form

5/12=5/12——in simplest form

6/14=3/7——-not originally in simplest form

4/22=2/11——not originally in simplest form

Answer:

1.95 kilograms

Step-by-step explanation:

7.8/4 = 1.95

Answer:

1 19/20 kg

Step-by-step explanation:

Divide 7.8/4 is 39/5 *1/4 which is 1 19/20

Hope this helps :D

Please mark brainliest if correct

Answer:

D

Step-by-step explanation:

because youe last number is 90

Answer:

multiply 100ajdirirrihtrirjrbrbdbd

Answer:

this looks kinda hard tho give me a sec

Answer:

x=3.25

Step-by-step explanation:

x + 3.75 = 7

   -3.75   -3.75

x = 3.25

Answer:

for number 4, i drew it in the picture

for number 6, 5 3/4 is closer

Step-by-step explanation:

give brainliest pls

Answer:

W = 23 degrees

Step-by-step explanation:

91 + 131 = 222

The sum of the polygon should equal 360 degrees. Therefore we subtract 360 - 222 = 138

Trial and error shows you that 2 x 23 = 46

46 + 46 + 46 + 222 = 360 degrees.

Answer:

Step-by-step explanation:

The length of f to the nearest 10th of an inch is 1.8 inches.

Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.

That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,

a / sin A = b / sin B = c / sin C

Given a triangle DEF.

The angles are given as, ∠F = 8° and ∠D = 34°.

We know,

Sum of the interior angles of a triangle = 180°

∠E = 180 - (8 + 34) = 138°

Using the law of sines,

f / sin F = e / sin E

f = (e / sin E) sin F

Substituting,

f = (8.7 / sin 138) sin 8

 = 13.0019 × 0.1392

 = 1.809

 ≈ 1.8

Hence the length of f to the nearest 10th of an inch is 1.8 inches.

Learn more about Law of Sines here :

https://brainly.com/question/13098194

#SPJ3

The graph solution set of the given inequality is the region above and

including the plotted line.

The ordered pair that is in the solution set of [tex]y \geq \dfrac{1}{3} \cdot x + 4[/tex] is; [tex]\underline{ (-1, \, 6)}[/tex]

Reasons:

The given inequality is presented as follows;

[tex]y \geq \dfrac{1}{3} \cdot x + 4[/tex]

The ordered pair that is in the solution set is given by plotting the graph of

the inequality, by expressing the inequality as an equation, plotting the

graph with a solid line,  and shading the sides above the line of the graph,

to represent the greater than or equal to sign.

The ordered pair that is in the solution set is the point [tex]\underline{ (-1, \, 6)}[/tex].

Learn more here:

https://brainly.com/question/11715886

The possible question options are;

(-6, 1), (-1, 6), (6, -1), (1, -6)

Answer:

yes

Step-by-step explanation:

(～￣▽￣)～

Answer:

54.5 is what I got

Step-by-step explanation:

It seems the correct function you need to mention is f(x) = sqrt x

so, I am assuming [tex]f(x) = \sqrt{x}[/tex] and will solve the question based on it.

Answer:

Check the explanation

Step-by-step explanation:

Given the function

[tex]f(x) = \sqrt{x}[/tex]

As the function is translated according to the rule

Translation of the function [tex]f(x) = \sqrt{x}[/tex] 6 units to the left will bring the function

[tex]g(x) = \sqrt{x+6}[/tex]

Translation of the function  [tex]g(x) = \sqrt{x+6}[/tex]  9 units up will bring the function

[tex]A\left(x\right)=\sqrt{x+6}+9[/tex]

Determining the range of [tex]A\left(x\right)=\sqrt{x+6}+9[/tex]

[tex]\mathrm{The\:range\:of\:an\:radical\:function\:of\:the\:form}\:c\sqrt{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]

[tex]k=9[/tex]

[tex]f\left(x\right)\ge \:9[/tex]

so

[tex]\mathrm{Range\:of\:}\sqrt{x+6}+9:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]

Therefore, the expression describes the range of A(x) will be:

[tex]f\left(x\right)\ge \:\:9\:or\:y\:\ge \:\:\:9[/tex]

Answer:

d on 3dge

Step-by-step explanation:

genius

Answer:

-2

Step-by-step explanation:

Found the point (0,-1), then it goes up 2, left 1. Slope is equal to rise over run, which means the slope becomes 2/-1, or -2,

Answer: 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 1/2 = 7/2

7 4/5= 39/5

5 3/4= 23/4

4 1/3= 13/3

4 2/3= 14/3

5 1/5 = 26/5

8 2/3 = 26/3

2 3/5 = 13/5

hope this helps

Answer: x= February+3

Step-by-step explanation:

Answer:

D.4pi/3

Step-by-step explanation:

Answer:

3/48

Step-by-step explanation:

Answer:

0.0625

Step-by-step explanation:

hope it helps, mar brainliest please

Answer:

78

Step-by-step explanation:

The answers 78

I have to keep typing

Step-by-step explanation:

[tex]4(w - 6) \leqslant - 12 \\ [/tex]

[tex]4w - 24 \leqslant - 12[/tex]

[tex]4w \leqslant - 12 + 24 \\ [/tex]

[tex]4w \leqslant 12[/tex]

The probability it will rain of Hari Merdeka is 2/15. Since you are finding the probability that will be no rain on Hari Merdeka, you also need to find the part of 15/15 that is not 2/15. You can do this by subtracting.

15/15-2/15=13/15.

The probability that will be no rain on Hari Merdeka is 13/15.

Answer:

D and E

Step-by-step explanation:

I found out D nad E has the same answer so ye

Answer:

12.50 ft per hour

Step-by-step explanation:

Given that:

Fish pond has a rectangular shape.

Length of fish pond = 60 feet

Width of fish pond = 40 feet

Total time to complete the fencing = 16 hours

To find:

Unit rate of putting the fencing around the fish pond.

Solution:

First of all, we need to find the total fencing to be put around the fish pond.

Total fencing is nothing but the perimeter of the fish pond which is of rectangular shape.

Formula for perimeter of rectangular shape is given as:

[tex]Perimeter = 2\times (Length + Width)[/tex]

[tex]Perimeter = 2\times (60+40)\\\Rightarrow Perimeter = 200\ ft[/tex]

Unit rate is the perimeter divided by total time taken to put the fencing around.

Therefore,

Unit rate = [tex]\frac{200}{16} = \bold{12.5}[/tex] feet per hour

So, the answer is 12.5 feet per hour.

Answer:

440miles

Step-by-step explanation:

because for every hour the bus travels 55miles so if you do 55×8 you can get your answer

But I hope I answered the right on for you