which of the following graphs represents the equation 2x+3y=12​

Answer:

  x = 19

Step-by-step explanation:

The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.

  x-coefficient: -1/3

  inverse of x-coefficient = 1/(-1/3) = -3

Then you have ...

  [tex]-3\left(-\dfrac{19}{3}\right)=-3\left(-\dfrac{1}{3}x\right)\\\\19=x\qquad\text{simplify}\\\\\boxed{x=19}[/tex]

Answer:

- 0.2588

Step-by-step explanation:

Theory: sin(a - b) = sin(a)*cos(b) - cos(a)*sin(b)

In this case  a stands for 10 AND b stands for 25

Hence:

sin10cos25-cos10sin25 = sin (10 - 25) = sin (-15) = - sin(15) = - 0.2588

Answer:

30.56 yd²

Step-by-step explanation:

To determine the area of the composite shape, we need to:

Determining the area of shape 1 (Rectangle 1):

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 2.1 × 4.8

⇒                               = 10.08 yd²

Determining the area of shape 2 (Rectangle 2):

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 6.4 × 3.2

⇒                               = 20.48 yd²

Determining the area of the figure:

⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2

⇒                         = 10.08 + 20.48

⇒                         = 30.56 yd²

Answer:

(3, 4) does not make y = .5x + 1.5 true.

Step-by-step explanation:

y = .5x + 1.5

(3, 4)

Substitute 3 for x and 4 for y and see if the two sides of the equation are equal to each other.

Since 4 ≠ 3, the point (3, 4) does not make the equation y = .5x + 1.5 true.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}[/tex]

Answer:

86 Degrees

Step-by-step explanation:

First we need to apply the defenition of a Supplementary Angle: A supplrementary angle means an angle whos measure is 180degrees.

As we are given two angles labled supplementary we must know that angleA + angleB = 180degrees.

Now we are given two equations for the measure of each angle.

measure of A = 6x+10

measure of B = 4x+30

We simply plug this into the first equation I've stated above.

6x+10 + 4x+30 = 180

Simplify

10x+40 = 180
10x = 140
x = 14

Now that we have X, we plug this into the measure B equation to get the measure.

4x + 30
(Plug 14)
4(14) + 30

56 + 30

86 Degrees

Hi!

[tex]\cfrac{y2-y1}{x2-x1}[/tex]

Y2 and Y1 represent the y-coordinates, and X2 and X1 represent the x-coordinates.

We are given the points:

(4, 6) and (7, 12)

Using this formula, we plug in the given points like so:

[tex]\cfrac{12-6}{7-4}[/tex]

Now we can simplify:

[tex]\cfrac{12-6}{7-4}=\cfrac{6}{3} =2[/tex]

Therefore, your final answer is:

[tex]\cfrac{12-6}{7-4}=2[/tex]

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Answer:

12 - 6

---------  =2

7 - 6

Step-by-step explanation:

Answer:

Radius = 8in

Step-by-step explanation:

[tex] \hookrightarrow \sf \: V = {\pi r}^{2} h[/tex]

Where,

⇢ 3014.4 = (3.14)(r²)(15)

⇢ 3014.4 = (r²)(47.1)

⇢ 3014.4 = 47.1r²

⇢ 3014.4/47.1 = 47.1r²/47.1

⇢ 64 = r²

⇢ r = √64

⇢ r = 8

[tex] \therefore [/tex] The value of radius is 8 inches

The gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

Given that:

Here we assume that the term GMC is referring to gross margin cost.

Let this gross margin cost (GMC) $40 be P% of the original cost of the item $150.

Then, we get:

[tex]p = \dfrac{40}{150} \times 100 \approx 26.67 \text{(in percentage)}[/tex]

Thus, the gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.

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Answer:

d

Step-by-step explanation:

E is ththe answer

the first equation should be T + C = 118 and the second equation should be C + 26 = T

none of these equations are correct

Answer:

D

Step-by-step explanation:

Its saying a line which is not two lines. Parallel lines contain 2 lines not 1.

Answer:

nahh its says 10 points

Step-by-step explanation:

Answer:

idek wut that means but it says 10 not 20

Answer:

$7897.5

Step-by-step explanation:

..............

Answer:

x=16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(8+24) * 8 = x^2

32*8 = x^2

256  =x^2

Take the square root of each side

sqrt(256) = sqrt(x^2)

16 = x

Answer:

2000+800+40+6+0.07+0.009

Step-by-step explanation:

Maybe?

The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

The number is written in the form  [tex]a \times 10^b[/tex] where we have[tex]1 \leq a < 10[/tex] The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

We have to write the expanded notation for 2,846.079.

The expanded form of the given term is;

2,846.079 = 2000+800+40+6+0.07+0.009

Hence, The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

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Answer:

Step-by-step explanation:

Reflection of the ocean, blue

Answer: 5/9 of an apple

Step-by-step explanation:

Since there are more people than apples, you know that the aples are going to be cut and every person will get less than one apple. You just divide the 5 apples to the 9 people. The simple way is putting the numbers and making it a fraction. In this case, 5/9. 5 apples as the numerator and 9 people as the demoninator.

Answer:

[tex]b = 24[/tex]

Step-by-step explanation:

Step 1:  Subtract 12 from both sides

[tex]\frac{b}{6} + 12 - 12 = 16 - 12[/tex]

[tex]\frac{b}{6} = 4[/tex]

Step 2:  Multiply both sides by 6

[tex]\frac{b}{6} * 6 = 4 * 6[/tex]

[tex]b = 24[/tex]

Answer: [tex]b = 24[/tex]

Answer:

3

Step-by-step explanation:

9 - 3 = 6,

6 - 2 = 4,

4 - 1 = 3

To answer wait you put into the big, it would be .28 since when making a percentage a decimal you move the decimal point to the left twice. There is always an invisible decimal after a whole number (ex. 28.0). And to find out what 28% of 140 is you simply do .28 x 140 to find that, which is 39.2.

Hope this helps!

Answer:

the answer is x=0 and x=4

Answer:

So, draw a number line on a piece of paper. Then, divide it into eight parts and graph the points (I did them in the colors of the ribbons)

Answer:

Whats the equation ?

Step-by-step explanation:

.

The equation is (6 - x)² + 2 = -10.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Given a phrase

“the square of the difference of six and a number, increased by two, is the same as negative 10”

the first part of phrase is,“the square of the difference of six and a number"

let the number be x

(6 - x)²

increased by 2

(6 - x)² + 2

is the same as negative 10

(6 - x)² + 2 = -10

Hence the equation is (6 - x)² + 2 = -10.

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Answer: b. x>5

Step-by-step explanation:

Answer:

Step 1

-3x -12-5x-15 is the correct expression.