5/6x - 2/3x

combine like terms....

Answer:

Table B shows a proportional relationship between x and y

Step-by-step explanation:

x            y

1            0.5

2            1

7            3.5

8            4

It is clear from the table that y varies directly with x.

Using the formula

y ∝ x

y=kx

Where k is the constant of proportionality

In order to find 'k',

k=y/x

Putting the values of x and y from the given table to determine the constant of proportionality

For (1, 0.5)

k=0.5/1=0.5

For (2, 1)

k = 1/2 = 0.5

For (7, 3.5)

k = 3.5/7 = 0.5

For (8, 4)

k = 4/8 = 0.5

As the value of the constant of proportionality  'k' is the same.

Thus, table B shows a proportional relationship between x and y

A linear function is used to represent the equation of a straight line.

Given

[tex]y = -\frac 34x + 2[/tex] --- Aisha

[tex]y = \frac{3}{-4}x + 2[/tex] --- Carolina

(a) How they use different step

A linear equation is represented as:

[tex]y = mx + b[/tex]

Where:

[tex]m \to[/tex] slope

[tex]b \to[/tex] y intercept

and

[tex]m = \frac{rise}{run}[/tex]

For Aisha's graph;

[tex]m = \frac{-3}{4}[/tex]

By comparison:

[tex]rise = -3[/tex]

[tex]run = 4[/tex]

This means that Aisha's graph has a rise of -3 and a run of 4

i.e. the other point used to calculate the slope is gotten by moving 3 units down and 4 units left of the y-intercept.

For Carolina's graph;

[tex]n = \frac{3}{-4}[/tex]

By comparison:

[tex]rise = 3[/tex]

[tex]run = -4[/tex]

This means that Carolina's graph has a rise of 3 and a run of -4

i.e. the other point used to calculate the slope is gotten by moving 3 units up and 4 units right of the y-intercept.

(b) Will the graph look the same?

Recall that:

[tex]y = mx + b[/tex]

[tex]m \to[/tex] slope

[tex]b \to[/tex] y intercept

For Aisha's graph

[tex]y = -\frac 34x + 2[/tex]

The slope is:

[tex]m = -\frac{3}{4}[/tex]

[tex]m = -0.75[/tex]

The y intercept is:

[tex]b = 2[/tex]

For Carolina's graph

[tex]y = \frac{3}{-4}x + 2[/tex]

The slope is:

[tex]m = \frac{3}{-4}[/tex]

[tex]m = -0.75[/tex]

The y intercept is:

[tex]b = 2[/tex]

Both equations have the same slope and the same y-intercept.

Hence, the graphs will look the same

See attachment for the graphs of their equations.

Read more about linear functions at:

https://brainly.com/question/20286983

Answer:

39 quarters, or 9.75 dollars.

Step-by-step explanation:

We can turn this into an algebra equation.

23 + 4x           If x = 4

x stands for the number of weeks.

After solving that, we get 39 quarters.

To turn it into dollars, we divide it by 4 (because 4 quarters is equal to one dollar) and then we get 9 3/4. 3/4 dollars is just .75 cents, so the answer is 9.75 dollars.

Garry will have 39 quarters or $9.75 in his bank as per linear equation in 4 weeks.

A linear equation is an equation where the variable has the highest power of one.

Give, Garry has 23 quarters.

He saves 4 quarters each week for the next weeks.

Therefore, after 4 weeks Garry will save a total of (4 × 4) quarters = 16 quarters.

Hence, after 4 weeks Garry will have in his bank account is (23 + 16) quarters = 39 quarters = $9.75.

Learn more about linear equation here: https://brainly.com/question/4482384

#SPJ2

Answer:

Step-by-step explanation:

-x=18-6

-x=12

x=-12

Answer:

%25

Step-by-step explanation:

Answer:

16 2/45

Step-by-step explanation:

Answer:

16 2/45 aka 722/45 aka 16.0444...

Step-by-step explanation:

Hope this helped! :)

Answer:

a) 9a(x - 3b) - 4(x - 3b) = (9a - 4)(x - 3b)

b) 5a(2b - 3) - 4(2b - 3) = (5a - 4)(2b - 3)

c) x(2h - k) + 3y(k - 2h)

= x(2h - k) - 3y(2h - k)

= (x - 3y)(2h - k)

Step-by-step explanation:

Answer:

a) (9a-4)(x-3b)

b) (5a-4)(2b-3)

c) (x-3y)(2h-k)

Step-by-step explanation:

9a(x – 3b ) - 4 (x – 3b) = (9a-4)(x-3b)

Since both 9a and -4 are multiplied by (x-3b), they can be put in a bracket too.

5a(2b – 3 ) - 4 (2b – 3) = (5a-4)(2b-3)

Since both 5a and -4 are multiplied by (2b-3), they can be put in a bracket too.

x( 2h-k )+ 3y ( k – 2h ) = x(2h-k) - 3y (-k + 2h)

We can multiply + 3y ( k – 2h ) by (-1) to switch up the arithmetic operations.

x(2h-k) - 3y (-k + 2h) = x(2h-k) -3y(2h-k)

Since both x and -3y are multiplied by (2h-k), they can be put in a bracket too.

x(2h-k) -3y(2h-k) = (x-3y)(2h-k)

Answer:

15

Step-by-step explanation:

if 5 20s is 100 then do it times three if that makes sence lol

Answer:

6-positive

4-positive

2-positive

0-zero

-2-negative

-6-negative

8-positive

Step-by-step explanation:

Answer:

14 dozen cookies can be made with 7 eggs

Step-by-step explanation:

I first saw that 2 goes into 7 three times (2*3= 6 eggs).

then I multiplied 4 dozen also by 3 to get 144 cookies (12 dozen).

since there was still one egg left I divided the 4 by a half and got 2 dozen.

2 dozen + 12 dozen = 14 dozen (168 cookies)

I'm bad at explaining sorry, and if I got the answer wrong I'm sorry as well  

Answer:

non linear

Step-by-step explanation:

Answer: I'd say linear

Step-by-step explanation:Because it is a straight line vertically on the x-axis -2

1435

Step-by-step explanation:

1435 hope this helps

Answer:

She would earn $200 for working 10 hours

Step-by-step explanation:

100/5= $20 per hour

10hr multiplied by $20= $200

Answer:

$200 (read below for reasoning)

Step-by-step explanation:

Since 5x2 is 10, we can double both 5 and 100 to get the amount of money Tina will earn in 5 hours. Since 100x2 is 200, Tina will earn $200 in 10 hours. In other words, her wage would double. I hope this helps!

Answer:

157/ pi= 49.97 which is r squared, so the square root of 49.97= 7.06 or 7.1

so the radius of the rug is 7.1 ft

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

√18 / √2 = √(9x2) / √2 = 3√2 / √2 = 3

Answer: its 0 right or is it supposed to be a face or sumthin

Step-by-step explanation:

9514 1404 393

Answer:

  125%

Step-by-step explanation:

(9/4)X = (1 +5/4)X = (1 +1.25)X = X + 125%·X

Jack needs to increase X by 125% to get 9/4X.

_____

Example:

X = 100, 9/4X = 225

125%X = 125, so X + 125%X = 100 +125 = 225 . . . as required.

Answer:

39 - 3 = 36

36/3 = 12

j = 12

Step-by-step explanation:

Answer:

Anna has $1460

Betty has $1060                                                      

Step-by-step explanation:

let Anna's money be x

and Betty's money be y

If Anna gave Betty $200, then they would have the same amount of money

Anna's money will reduce by 200

x=x-200

Betty's money will increase by 200

y= y+200

if they have the same amount of money, the difference will be zero

x-200=y+200

x-200-y-200=0

x-y-400=0

x-y=400--------------1

this means that Anna has $400 more than Betty

if Betty gave Anna $220, Anna would then have twice as much as Betty.

Betty's money will reduce by 220

y=y-220

Anna's money will increase by 220

x=x+220

Anna's money will double that of Betty's

x+220=2(y-220)

x+220= 2y-440

x=2y-440-220

x=2y-660--------------------2

put x= 2y-660 in eqn 1

(2y-660)-y=400-------------------------1

2y-y=400+660

y= 1060

so Betty has $1060

put y= 1060 in eqn 1

x-y=400

x-1060=400

x=400+1060

x=1460

so Anna has $1460

Answer:

399.37

Step-by-step explanation:

multiply the amount each week by the amount of weeks to get the answer :)

Answer:

CGIA

Step-by-step explanation:

maths

Answer:

13.00 you can keep going if you want to With the zeros it won’t stop

Step-by-step explanation:

Answer:

6 x 1100% = $66

Step-by-step explanation:

Answer:

addition property of equality

Answer:

Step-by-step explanation:

Answer:224

Step-by-step explanation:

Answer:

line BC, 4 units right, and down 1 unit!

Hope This Helps!

Answer:

1. BC

2. 4

3. 1

Step-by-step explanation:

Answer:

B,C&F

Step-by-step explanation:

-2x>-4

multiplied by -1 gives 2x<4

And you devide both sides by 2 you get x<2

The numbers smaller than 2 in your options are 1,1.5 and -2