which table represents a proportional relationship between x and y

5/2 because its 2 times 2 plus one for the numerator and the denominator stays 2

12 = 2/3(x - 3)

Distributive property.

12 = 2/3x - 2

Add 2 to both sides.

14 = 2/3x

Multiply both sides by 3.

42 = 2x

Divide both sides by 2.

21 = x

The value of x is equal to 21.

The equation, twelve is the same as two-thirds a number diminished by two - True

To determine if twelve is the same as two-thirds of a number diminished by two, we can set up an equation. Let's represent the number as 'x.' According to the statement, twelve is equal to two-thirds of x diminished by two. Mathematically, this can be written as:

12 = (2/3)x - 2

To solve for x, we need to isolate it on one side of the equation. First, we can add 2 to both sides:

14 = (2/3)x

Next, we can multiply both sides by 3/2 to eliminate the fraction:

14 * (3/2) = x

21 = x

Therefore, the number in question is 21. To confirm, we can substitute x back into the original equation:

12 = (2/3)(21) - 2

12 = 14 - 2

12 = 12

Since the equation is true, we can conclude that the statement is True.

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Complete Question:

Twelve is the same as two-thirds a number diminished by two. True or False ?

Final answer:

To find the parallel line's equation, Audrey used the slope of 2/3 from the given line and the point (-6, -1) to write the equation in point-slope form, eventually simplifying it to y = 2/3x + 3.

Explanation:

Audrey is looking to find the equation of a line that is parallel to the line with the equation y = 2/3x - 5 and that passes through the point (-6, -1). Since parallel lines have the same slope, our new line will keep the slope of 2/3. Using the point-slope form of the equation of a line, we set up y - y1 = m(x - x1). Plugging in the known slope m and point (x1, y1), we get y - (-1) = 2/3(x - (-6)). After simplifying, we have y + 1 = 2/3x + 4. Finally, we solve for y by subtracting 1 from both sides, yielding the equation y = 2/3x + 3 as the line that is parallel to the original line and passes through the given point.

First we find the fraction in decimal form,

so they it will equal to 1.5 because 2/4 is 0.5 and 9.5 because 5/10 is .5 as well

Then we add and get a whole number which is 11

Answer,

11

Hope this helps :-)

I think the ratio is 182:10    

182/10 so every teacher will have about 18 students.

Hope this helps,im very sorry if it dont!!

The correct answer would be B, all characteristics. Reflectional Symmetry is when an object is divided into halve in which to completely identical pieces are left.

(B) All characteristics.

Therefore, the correct option to fill the blank is (B) All characteristics.

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0.2 as a decimal 1/5 as a fraction 20% as a percentage

3/10 as a fraction 0.3 as a decimal and 30% as a percentage

0.75 as a decimal 75% as a percentage 3/4 as a fraction

1.25 as a decimal 125% as a percentage 125/100

Hopes this helps

The answer is 20/27. 8/9x5/6=20/27.

it is more because of the negative.

In mathematics, when dealing with negative numbers, the number closer to zero is greater. Thus, -6.809 is greater than -6.812 because it's closer to zero.

In the field of mathematics, when you're dealing with negative numbers, the number that is closer to zero is always greater. Here, we have the numbers -6.809 and -6.812. Looking carefully, -6.809 is closer to zero than -6.812. Hence, -6.809 is greater than -6.812.

Let's understand it with a simpler example. If we have -3 and -5, even though 5 is greater than 3, -5 is lesser than -3 because it's further away from zero.

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Answer:

F(x) + 4 = 3x + 3

Step-by-step explanation:

F(x) = 3x - 1     |add 4 to both sides

F(x) + 4 = 3x + 3

The answer is:

28/4

42/6

56/8

[tex]\frac{38}{9} x = \frac{19}{27}[/tex]

[tex](27)\frac{38}{9} x = \frac{19}{27}(27)[/tex]

3(38)x = 19

      [tex]x = \frac{19}{3(38)}[/tex]

      [tex]x = \frac{1}{3(2)}[/tex]    

      [tex]x = \frac{1}{6}[/tex]  

Answer: [tex]x = \frac{1}{6}[/tex]  

D(2, –4) → D' = (-4, 2)

E(1, –1) → E'= (-1, 1)

F(5, 1) → F'=(1, 5)

What is the rule that describes a reflection across the line y = x?

rx = y(x, y)= (y, x)

The rule which describes a reflection across the line is y(x, y) --> (y, x)  and the mapping of the vertices of ΔDEF is (-4, 2)D',  (-1,  1)E' ,  (1,  5)F'.

The reflection of a plane or shape is flipping the original figure with respect to a reference line.

The following steps are used to for reflecting a shape-

The rule that describes a reflection across the line says that when your reflect a point across the line say y=x. Then the coordinates of x and y are interchanged as,

y(x, y) → (y, x)

Now let's complete the mapping of the vertices of ΔDEF using the above rule. For this, change the places of x and y coordinate as,

D(2, –4) → (-4, 2)D'

E(1, –1) →   (-1,  1)E'

F(5,  1) →     (1,  5)F'

Thus, the rule which describes a reflection across the line is y(x, y) --> (y, x)  and the mapping of the vertices of ΔDEF is (-4, 2)D',  (-1,  1)E' ,  (1,  5)F'.

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Answer:

x = 7

Step-by-step explanation:

Edginuity, got le question correct humans

Based on the expression given, the for x will be 7.

From the diagram given, we can see that the last expression that's given is 4x/3 = 28/3. The next thing that will be done in this case is to cross multiply and this will be:

4x/3 = 28/3.

Cross multiply

4x × 3 = 28 × 3

12x = 84

x = 84/12.

x = 7

Therefore, the value of x will be 7.

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24.4-19.51= 4.89

Answer: 4.89 mm

Opposite integers are pairs of opposite sign, so the opposite integer to 2 is -2, 3 is opposite to -3, and so on.

Absolute value make any integer non-negative by removing its negative sign if there is any.

Absolute values of opposite integers are related in that they are *identical*

Any pair of opposite integers shares the same absolute value.

Lmk if you have questions.  

It would be 20+8-(3x5).

Plug in 6 for x in the equation:

f(6) = 3(6) - 5

Remember to follow PEMDAS. First, multiply

f(6) = 3(6) - 5

f(6) = 18 - 5

Finally, subtract

f(6) = 18 - 5

f(6) = 13

f(6) = 13 is your answer

hope this helps

to graph you have to look ate the first number and move forward or backwards on the x axis if it is negative move backward if it is normal move forward

for the y axis(second number) go up or down again if it is posative move up

if it is negative move down

P.S. move from ''0''

So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)

to find t he x intercepts factor the quadratic and set them = to 0

x^2 +6x+5 = 0

(x+5) (x+1)=0

x+5 = 0   x+1=0

x=-5   x=-1

the x intercepts are -5, x=-1

Answer:

-5 -1

Step-by-step explanation:

21 (c) pieces of candy

Answer:

c

Step-by-step explanation:

120-10=110/2=55 students per bus

Step one: 120-10= 110

Step two: 110÷2=55

Answer: 55 students per bus

B) Because to find the value of x and y you have to divide x by 7 to make it x and the multiply 7 by y because you divided by the opposite side, which is x.

(20 hrs/1 wk)*(15 dollars/1 hr) = 20*15 = 300 dollars per week

There are 52 weeks in a year. If Leeann works all 52 weeks (ie no sick days, vacations, etc) then,

(52 weeks/1 yr)*(300 dollars/1 week) = 52*300 = 15600

Her yearly pay is $15,600

Answer:

$15,600

Step-by-step explanation:

Leeann works 20 hours per week and makes $15 per hour

Her weekly income = 20 × 15 = $300

In one year = 52 weeks

Therefore, her yearly pay = 300 × 52

                                          = $15,600

Leeann's yearly pay is $15,600

Hey there!!  

Given equation :

... 4 ( 3q - 2 ) = 16q

... 12q - 8 = 16q

Subtract by 12q on both sides

... -8 = 4q

Divide by 4 on both sides

... -8 / 4 = q

... q = -2

Given equation :

4 ( 3q - 2 ) = 16q

Substitute the value of -2 in place of q

... 4 ( -6 -2 ) = 16 × -2

... 4 ( -8 ) = -32

... -32 = -32

∴ Hence proved

Hope my answer helps!!

Remark

Whatever the table shows is probably the Federal tax. It shows that with one exemption and a biweekly pay of 850 means that 80 is deducted.

The amount of state tax is 21% of the federal fax.

State Tax = 80 * 21/100 = $16.80  Answer

Here are the areas of the 3 separate shapes:

1. 27.5 m^2

2. 25.5 m^2

3. 27.5 m^2

As you can see, the 1st and 3rd shapes share the same total area, so those are the shapes you should select.