Which graph below is proportional and how do you know?

9514 1404 393

Answer:

  x = 25/9

Step-by-step explanation:

  3(x-2)/4 + 3(x-3)/8 = 1/2 . . . . given

  6(x -2) +3(x -3) = 4 . . . . . . . . multiply by 8

  6x -12 +3x -9 = 4 . . . . . . . . . eliminate parentheses

  9x -21 = 4 . . . . . . . . . . . . . . . collect terms

  9x = 25 . . . . . . . . . . . . . . . .  add 21

  x = 25/9 . . . . . . . . . . . . . .  divide by 9

Answer:

I got =

[tex]2 \ \frac{7}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3(x - 2)}{4} + \frac{3(x - 3)}{8} = \frac{1}{2} [/tex]

[tex]6x - 12 + 3x - 9 = 4 \\ 9x - 21 = 4 \\ 9x = 25 \\ x = \frac{25}{9} = 2 \ \frac{7}{9} [/tex]

Answer:

true

Step-by-step explanation:

Answer:  5.25 or 5.5 [see note]

Step-by-step explanation:

1/4 (15 – 6) +3  [I'm not clear what is meant by the " : 12," so I left it out.]

1/4 (9) +3

9/4 + 3

2.25 + 3 = 5.25

===

If it is supposed to read

1/4 (15 – 6) +3/12

Then it would be

5.25 + 0.25 = 5.5

Answer:

-34

Step-by-step explanation:

you would first solve it like a normal equation and ignore the negative;

0.5 * 4 is 2

8 * 4 is 32

32 + 2 = 34

and then you would add the negative sign- because there is only one side with a negative sign, it is negative

if the equation had both sides had a negative, it would be positive

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 1=2(3)+b[/tex]

[tex]\\ \sf\longmapsto 1=6+b[/tex]

[tex]\\ \sf\longmapsto b=-5[/tex]

Equation of the line:-

[tex]\\ \sf\longmapsto y=2x-5[/tex]

Answer:

y = 2x - 5

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of line

Answer: y= -3x + 16

Step-by-step explanation:

I'm assuming that you mean a linear equation

So the first thing that you want to do is find the slope for the line.

1-(-2) / -3 - 6= -9/3= -3

Now that you have the slope you can pick one of the points to plug in.

-2 = -3(6) + b

We don't know what the y intercept is so we'll need to solve for that.

-2= -18 + b

add -18 to -2

16=b

so your equation will be

y= -3x + 16

Answer:

No

Step-by-step explanation:

1/2 times 1/2 = 1/4

Answer:

the Day falls one day after every year which means that this one will fall on a

Step-by-step explanation:

wedsnday

Answer:

See below, please.

Step-by-step explanation:

[tex] \frac{ {(4a - 3b)}^{3} }{c + 5} \\ \ \\ = \frac{ {(4 \times ( - 2) - 3 \times ( - 3))}^{3} }{3 + 5} \\ = \frac{ {(( - 8) - ( - 9))}^{3} }{8} \\ = \frac{ {( - 8 + 9)}^{3} }{8} \\ = \frac{ {1}^{3} }{8} \\ = \frac{1}{8} [/tex]

Answer:

If you are asking for its improper fraction form then it is 100/3

Step-by-step explanation:

33*3 (3 is the denominator) = 99

1/3 + 99/3 = 100/3

You can not divide 100 by 3 (and get a whole number), and therefore it can not be simplified  anymore and is the lowest possible term for fractions.

Ex. 2/4 can be simplified to 1/2 but 3/4 can not be simplified anymore.

Another example:

12 1/4

12*4 = 48

1/4 + 48/4 = 49/44

The correct answer is B/the second option.

The reason is that you can find slope by doing y2-y1/x2-x1, however x1 was put before x2 and therefore the slope was wrong. Good luck !! :)

Answer:

(0,-1); (0,-2); (2,0); (2,-2)

Step-by-step explanation:

when rotating 180 degrees all the points have their coordinate sign's flipped.

so the points go from:

(0,1) --> (0,-1)

(0,2) --> (0,-2)

(-2,0) --> (2,0)

(-2,2) --> (2,-2)

so your new shape will have the points (0,-1); (0,-2); (2,0); (2,-2)

Answer:

1780

Step-by-step explanation:

700 + 1000 = 1700

1700 + 80 = 1780

Answer:

9/-2

Step-by-step explanation:

First, find the slope

(15-6)/(1-3)

9/-2

Answer:

[tex]slope\ of \ line\ b = - \frac{9}{2}[/tex]

Step-by-step explanation:

Since line a and b are parallel, the slope of a = slope of b.

therefore,

[tex]slope\ of \ line\ a = \frac{y_2 - y_1}{x_2-x_1} \ \ \ \ \ x_ 1 = 3 , \ y_ 1 = 6 \ , \ x_2 = 1 , \ y_2 = 15[/tex]

                    [tex]=\frac{15-6}{1-3}\\\\=\frac{9}{-2}\\\\= - \frac{9}{2}[/tex]

                   [tex]= slope\ of \ line \ b[/tex]

Answer:

5/9t-27-(1/9t+21)=0

Answer:

Division problem - 2/5

Fraction - 2/5

Step-by-step explanation:

The answer is the same because in mathematical situations, division and fraction is considered same.

Answer:

dividing

Step-by-step explanation:

because dividing is the one and the only method to give 15 children equal money

============================================================

Work Shown:

[tex]a^2 + b^2 = c^2\ \text{ ... pythagorean theorem}\\\\4^2 + x^2 = \left(\sqrt{65}\right)^2\\\\16 + x^2 = 65\\\\x^2 = 65-16\\\\x^2 = 49\\\\x = \sqrt{49} \ \text{ ... only consider the positive root}\\\\x = 7\\\\[/tex]

Answer:

u = 3

Step-by-step explanation:

-4 = 3 - 7

Answer:

0

Step-by-step explanation:

Answer:

your answer is 5.............

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

Solution is in attachment ~

Answer:

$10.36

Step-by-step explanation:

4•2.59=10.36

#1

#2

[tex]\\ \sf\longmapsto x+68=180\implies x=180-68=112°[/tex]

#3

#4

#5

#6

#7

Answer:

Hey there,

(1) x = 46° ( Alternative angles are equal)

(2)  x + 68 = 180 ( Interior angles are added up to 180° )

     x = 112°

(3)  x = 111° (  Corresponding angles are equal)

(4)  x = 37° ( Opposite angles are equal )

(5)  x = 58° ( Alternative angles are equal )

(6) x = 175° ( Corresponding angles are equal )

(7)  x = 26° ( Corresponding angles are equal )

Hope this helps you

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

Answer: 2 2/3 gallons left

explanation:

6 1/2 = 6 3/6

6 3/6 - 3 5/6 = 2 2/3

proof: 2 2/3 + 3 5/6 = 6 3/6

Answer:

(36.4+18.7)x22.3/2 = 614.365

Step-by-step explanation:

up+downxheight/2

Answer:

Mr. Jones would have 21 total pencils.

Answer:

42

Step-by-step explanation:

multiply 14 times 3

Answer:

12

Step-by-step explanation:

48 divided by 2 is 24 which means 48 divided by 4 is 12