Suppose you drive a car 156 miles on one tank of gas. The tank holds 12 gallons of gas. (Assume the car travels the same distance for each one gallon of gas)
The number of miles traveled varies directly with the number of gallons of gas you use.
a. Write an equation that relates miles traveled to gallons of gas used. (Use any variable you like in the equation.
b. How far can you drive with 3.7 gallons of gas? (Make sure to show the calculations you did to determine this answer)

I will give branliest, thanks so so much.

Answer:

y = 1/2x + 2

Step-by-step explanation:

First, we find the slope of the line by subtracting the x- and y-values of each point, and dividing that:

(4-3)/(4-2) = 1/2

So, our slope is 1/2. Then, we insert this into a y = mx + b equation using one of our points to find the y-intercept (b). I used the point (2, 3):

3 = 1/2(2) + b

3 = 1 + b

b = 2

Now that we have our slope and the y-intercept, we can create a function: y = 1/2x + 2.

Answer:

C, Because if you draw a graph, the line y=1/2x+2 lines up with (2,3) and (4,4),

Answer:

12

Step-by-step explanation:

Answer:

(- 2, 4 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 3(x + 2) ← is in point- slope form

with (a, b ) = (- 2, 4 )

Answer:

they're all in order plz give brainliest

Step-by-step explanation:

2n+4=12

5n-2=8

5+3n=5

4n+7=11

2n-1=9

7n-2=54

2n+8=32

3n+7=34

2n+4=16

5n-17=53

3n-7=14

12+2n=44

9n+2=29

3n-15=36

11+5n=66

7n-9=82

3n-11=34

Answer:

(2,9) , (3,8) , (4,7) , (5,6)

Step-by-step explanation:

ab+ba = 10a+b+10b+a = 11a+11b = 11(a+b)

if a+b = 11 then ab+ba = 11²

(a,b) or (b,a) : (2,9) , (3,8) , (4,7) , (5,6)

check: 29+92 = 121 = 11²

56+65 = 121 = 11²

Answer: Solution In Photo

Answer:

Step-by-step explanation:

Use the points:

The y- intercept is  - 4 and the slope is:

The line is:

Correct choice is D

Answer:

C

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{x+5}[/tex] - 1 ( add 1 to both sides )

y + 1 = [tex]\frac{1}{x+5}[/tex] ( multiply both sides by (x + 5)

(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = [tex]\frac{1}{y+1}[/tex] ( subtract 5 from both sides )

x = [tex]\frac{1}{y+1}[/tex] - 5

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{x+1}[/tex] - 5 where x ≠ - 1

Answer:

[tex]a_{n}[/tex] = - 7n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 8 and d = - 7 , then

[tex]a_{n}[/tex] = - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1

Answer:

c-43=47

Step-by-step explanation:

Well this is kinda obvious.

He already sold 43 cups of hot choclate and he needed 47 more.

So the total amount of cups is (c) so we can make an equation like this

c-43 (since theres total which is unknown so ”c” and then Theres the already sold 43 cups).

c-43=47 (the 47 is the amount he needs to sell)

So final equation to determine total cups needed

c-43=47

Answer:

8686787876876

Step-by-step explanation:

67886868768768p765756u565656t443o

Answer:

a. substracting...................

Answer:

The answer is 3x^2-4x-4+1/2x-1

Step-by-step explanation:

Hope this helps, and sorry if it's wrong.

Answer:

Associative Property of Addition

Step-by-step explanation:

According to the Associative Property of Addition, when three real numbers are added, it makes no difference which two are added first.

(a + b) + c = a + (b + c)

Therefore, 8 + (2 + 6) = (8 + 2) + 6 is an example of the Associative Property of Addition.

Please mark my answer as the Brainliest, if you find my explanation helpful :)

Answer: B : Mean Does Not change

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

I took the quiz and put B and got it wrong so don't trust his answer

Answer:

(-45)

Step-by-step explanation:

Hey there,

Before solving  this you have to know that,

(-) × (-) = (+)

(+) × (+) = (+)

(-) × (+) = (-)

Let us solve now.

-53 +(+8)

-53+8

= (-45)

Hope this helps you.

Let me know if you have any other questions  :-)

Answer: 13 (and Sally will always be 3 years older than Jill)

Step-by-step explanation:

Let S and J stand for Sally and Jill's ages.  We are told:

If Jill is 10, how old is Sally?

 (S-5) = (J-5)+3

 (S-5) = (10-5)+3

 S-5 = 8

 S = 13

We actually don't really need an equation for solving this, other than the question asks us to write one.  It doesn't matter how many years later, since Sally is 3 years older, she will always remain 3 years older, if we ignore the likelihood that the statement doesn't hold true for the period between their actual birthdays.

Step-by-step explanation:

the first option : -(m¹²n⁶)/2

why ?

we can go through factor by factor of the multiplication/fraction.

2/-4 = -1/2

m⁹/m^-3 = m^(9 - -3) = m¹²

n⁴/n^‐2 = n^(4 ‐ -2) = n⁶

when we put all 3 factors back together, we get the mentioned result.

Answer:

The vertices of both where they cross show (-4,1)

Step-by-step explanation:

3y > 2x + 12

x < 3(y - 4)  / 2

y > 2 (x + 6)  / 2

2x + y< -5

= x> -5

set = together

x < 3(y - 4)  / 2  shows dotted ascending line attached through x=-6

This means x=--6 y = 0

x>-5 shows boundary dotted vertical line through -5

this means x = -5 y = 0

If it had been x ≥ -5 it would have been solid boundary line.

The area within the dotted lines create a right angle triangle where the far left angle shows ascends to (-6, 0) and crosses y at 0,4 however the shaded area will not got hat far and stop at -4,0 and the area below.

As seen attached when both are plotted with dash dotted boundary lines.

The vertices of both show (-5,1)

Answer:

6xy + 18x + 6y

Hope this helps!

Answer:

i dont know the answer to this

Step-by-step explanation:

Because i just dont

Answer:

2

Step-by-step explanation:

Answer:

(-6, -14), (-1,-7)

Step-by-step explanation:

The equation is a plug and play just plug in the X and Y values of your original equation.

Answer:

3.559510567%

Step-by-step explanation:

32 / 899 = 0.03559510567

0.03559510567 = 3.559510567%

Answer:

B. (-3,0) and (3,0)

Step-by-step explanation:

The curved line crosses through both of these points, and these points are the only ones out of all the choices, to line up perfectly. Remember that ordered pairs (x,y) represent the x and y values.

I really tried to explain this to you, so let me know if this helped :)

The solution of the system of equations graphed are (4,8) and (0, -8)

A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations.

Given that is a graph of system of equations, we need to find the solution,

We know that the common solutions are the intersecting points of the equations.

So, here the curve and the line are intersecting at (4,8) and (0, -8)

Hence, the solution of the system of equations graphed are (4,8) and (0, -8)

Learn more about system of equations click;

https://brainly.com/question/12895249

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3/10

2, 3, and 4 are prime numbers. Those are three numbers worth. The maximum number on the spinner is 5 so you multiply 5 by 2 and get 10. Again, 3 numbers are prime numbers. So from there you add 3 and 10 as a fraction and get 3/10

-papichulo is back

Answer:

2.52

Step-by-step explanation:

Answer:

[tex] {2}^{ \frac{3}{2} } = \sqrt[3]{ {2}^{2} }\\= \sqrt[3]{ {4}}[/tex]

The surd form is : [tex](\sqrt{2} )^3[/tex]

[tex](\sqrt{2} )^3=\sqrt{2}. \sqrt{2}. \sqrt{2}[/tex]

It gives in the approximate value is : 2.80

Surds are the square roots (√) of numbers that cannot be simplified into a whole or rational number. It cannot be accurately represented in a fraction. In other words, a surd is a root of the whole number that has an irrational value. Consider an example, √2 ≈ 1.414213. It is more accurate if we leave it as a surd √2.

We have from the question is:

Write in the surd form:

=> [tex]2^\frac{3}{2}[/tex]

Now, According to the definition:

Write like this:

[tex]2^\frac{3}{2}=((\sqrt{2} )^2)^\frac{3}{2}[/tex]

Cancel out the:

2 × 3/2 = 3

So, [tex](\sqrt{2} )^3=\sqrt{2}. \sqrt{2}. \sqrt{2}[/tex]

It gives in the approximate value is : 2.80

But, The surd form is : [tex](\sqrt{2} )^3[/tex]

Learn more about surd form at:

https://brainly.com/question/11181869

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Answer:

-2, 1, and 3 only

Step-by-step explanation:

Because if You look at the graph..

Answer:

$21

Step-by-step explanation:

Let the amount Lori bought the shirt and the hat be $x, if she bought them at half off sale, the initial price of both item will be 2 × $x

If she spent $21 on both items, the initial price will have been 2 x $21 = $42 where x is $21

Original price of the hat and shirt is therefore $42. Since both are on half off sale, the initial price is the hat will be $42/2 = $21