There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red?

The standard form of the given expression is 7x - y = 17

The equation of line in standard form is expressed as Ax + By = C

Given the equation

y + 3 = 7(x - 2)

Expand

y + 3 = 7x - 14

y -7x = -14 - 3

-7x + y = - 17

7x - y = 17

Hence the standard form of the given expression is 7x - y = 17

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Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

Answer:  36?

It's too short. Write at least 20 characters to explain it well.



Answer:

He walks 1030 meters if he walks across the park.

Step-by-step explanation:

In order to solve this question we will need to know that [tex]c^{2} = a^{2} + b^{2}[/tex] (were c is the length of the hypotenuse (the diagonal line) of a right angle triangle, and a and b are the legs (the sides that form a right angle). So them means that.....

Let "c" be the distance he will need to walk if he was going to go through the park

Let "a" be the distance he walks on King Street

Let "b " be the distance he walks on Queen Street, then.....

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

(Now plug in the values of a and b and get.....)

c = [tex]\sqrt{500^{2} + 900^{2} }[/tex]

c = [tex]\sqrt{1060000 }[/tex]

c = 1029.563014............

So I would assume that you have to round to the nearest meter. And as a result we get 1030 meter.

Answer:

1/2 / 2/3

(1*3) / (2*2)

3/4

Two-thirds of a half equals three-quarters

Answer:

no question

Step-by-step explanation:

it cant thats not an answet

Answer:

x=0

Step-by-step explanation:

The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)

Answer:

student a

Step-by-step explanation:

i just took the exam

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Answer:

Step-by-step explanation:

domain represents the numbers at the x endpoints of a graph.

on the graph we see that on the left, the line ends when x is -4

on the right, the line ends when x is 4

the domain is

-4, 4

but notice how on the left there is an open circle

this will be written with a parentheses

( -4, 4

and notice how on the right there is a closed circle

this will be written with a bracket

(-4, 4]

so the answer is C

Answer:

Perimeter of the Rectangle is 2×(length+breadth)

→2{(3y-2)+(5y+8)}=2{3y-2+5y+8}=2{8y+6}=16y+12

Answer:

the answer is 3.82 i think

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

9514 1404 393

Answer:

  B

Step-by-step explanation:

If you remove the variables and the equal signs from the equations and put brackets around what is left, you have the matrix that represents the equations:

  [tex]\left[\begin{array}{ccc}3&-2&12\\4&-1&9\end{array}\right] \qquad\textbf{matches B}[/tex]

_____

Additional comment

You need to be sure the variables are in the same order in both equations, as they are here. If there are equations with missing variables, you need to use a zero (0) coefficient in the missing variable's location.

Given:

Consider the below figure attached with this question.

[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

[tex]m\angle 3=m\angle 4[/tex]

[tex](x+30)^\circ=(2x-80)^\circ[/tex]

[tex]x+30=2x-80[/tex]

[tex]x-2x=-30-80[/tex]

[tex]-x=-110[/tex]

[tex]x=110[/tex]

Now,

[tex]m\angle 3=(110+30)^\circ[/tex]

[tex]m\angle 3=140^\circ[/tex]

Therefore, the measure of angle 3 is 140 degrees.

Answer:

Total Bill: $138

Step-by-step explanation:

115 * 1.20 = 138

Answer:

138

Step-by-step explanation:

115 × 20% = 23

115 + 23 = 138

Answer is 138

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Answer:

i think the answer is A or D i think

Answer:

x = 5

Step-by-step explanation:

[tex]8x+38=-3(-6-4x)\\\\8x+38=18+12x\\\\8x+38-38=18-38+12x\\\\8x=12x-20\\\\8x-12x=12x-12x-20\\\\-4x=-20\\\\\frac{-4x=-20}{-4}\\\\\boxed{x=5}[/tex]

Hope this helps!

Answer:

16/4=4 y=4x

Step-by-step explanation:

Answer:

width:6, length:18

Step-by-step explanation:

You can subsititue width with x.

The length would then be 2x+6.

The value of width and length combined is 24.

The equation would be (2x+6)+(x)=24

Simplify to 3x+6=24

Subtract 6 from both sides giving 3x=18

Simplify to x=6

There's the width. Now you can substitute to find the length.

(6x2)+6=18

I hope this is right.

Answer:

x^2+4y^2-8x+8y+4=0

Step-by-step explanation:

The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

An ellipse can be defined as a shape that looks like an oval circle.

The equation of an ellipse is

[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]

Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.

The vertices of an ellipse are (0,-1) and (8,-1).

The endpoints of the minor axis are (4,1) and (4,-3).

The following equations take into account the different properties of an ellipse:

[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]

[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]

We get that h = 4 k = -1, a = 4, and  b = 2

The standard form of the given ellipse is

[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]

So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.

Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

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Answer:

25 hours, charge= 800

Step-by-step explanation:

300 + 20x = 500 + 12x

8x = 200

x = 25

300 + 20(25)

300+500 = 800

500 + 12(25)

500 + 300 = 800

The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Let the unknown number be "x"

If the resulting expression is 18, this will be expressed as 4x² - 7 = 18

Solving the resulting expression

[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]

Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

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Answer:

3 the answer is 3

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

no solution

I did it on a graph and I think its true?