There are 3 cyan, 9 magenta and 15 yellow printer cartridges in a box.

We pick one at random, then pick another one, without replacement.

What is the probability that both of them will be cyan?

The solution to the system of equations is (2,0)

The equation is given as:

[tex]y = 0.5x - 1[/tex]

The other equation passes through the points (3,1) and (-5,-7).

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-7 - 1}{-5 -3}[/tex]

[tex]m = \frac{-8}{-8}[/tex]

[tex]m =1[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 1(x -3) + 1[/tex]

[tex]y = x -3 + 1[/tex]

[tex]y = x -2[/tex]

Substitute x - 2 for y in [tex]y = 0.5x - 1[/tex]

[tex]x- 2 =0.5x - 1[/tex]

Collect like terms

[tex]x-0.5x= 2 - 1[/tex]

[tex]0.5x= 1[/tex]

Divide both sides by 0.5

[tex]x= 2[/tex]

Substitute 2 for x in [tex]y = 0.5x - 1[/tex]

So, we have:

[tex]y = 0.5\times 2 - 1[/tex]

[tex]y = 1 - 1[/tex]

[tex]y = 0[/tex]

So, we have:

[tex](x,y) =(2,0)[/tex]

Hence, the solution to the system of equations is (2,0)

Read more about systems of equations at:

https://brainly.com/question/14323743

Answer:

w < -7

Step-by-step explanation:

Do -42 divided by 6 and keep the sign the same.

You get w < -7.

Hope this helps! :)

Answer:

12x - 18

Step-by-step explanation:

3 x 4x = 12x

3 x -6 = -18 (Negative and positive make a negative.)

12x - 18

Answer:

17.5

Step-by-step explanation:

7*5/2

Answer:

Step-by-step explanation:

Answer:

r=0.5d

Step-by-step explanation:

Answer:

38x + 38

Step-by-step explanation:

The value of the variable x can be determined using the circle theorem to

determine the angle formed by x.

The correct responses are;

Reasons:

(1) From circle theorem, we have;

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at center = Angle subtended by [tex]\widehat {BC}[/tex] at the center;

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at the circumference = Angle subtended by [tex]\mathbf{\widehat {BC}}[/tex] at the circumference

Which gives;

(2) [tex]\displaystyle \widehat {AB} = \mathbf{\widehat {CD}}[/tex] given

Angle subtended by arc [tex]\widehat {CD}[/tex] at the center = x

Equal arcs subtend equal angles at the center of a circle.

Therefore;

Angle subtended by arc [tex]\mathbf{\widehat {AB}}[/tex] at the center = x

Angle at center = 2 × angle at circumference

Therefore;

x = 2 × 50° = 100°

x = 100°

(3) [tex]\displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}}[/tex] given

By definition, we have;

Angle subtended by [tex]\widehat {AC}[/tex] at the center = 3 × Angle subtended by [tex]\widehat {AB}[/tex] at the center

According to circle theorem, we have;

Angle at the center = 2 × Angle at the circumference

Let y represent the angle subtended at the circumference by [tex]\widehat {AB}[/tex], we have;

y = 20°

[tex]\widehat {AB}[/tex] = 2·y

[tex]\widehat {AC}[/tex] = 3 × [tex]\widehat {AB}[/tex] = 3 × 2·y = 6·y

Therefore;

[tex]\widehat {AC}[/tex] = 6 × 20° = 120°

[tex]\widehat {AC}[/tex] = 120°

[tex]\widehat {AC}[/tex] = 2·x

Therefore;

2·x = 120°

[tex]\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}[/tex]

x = 60°

Learn more circle theorems here:

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Answer:

k = 10

Step-by-step explanation:

the sum of any two interior angles is equal to the exterior angle of the unknown interior angle

4k+5 + 6k+10 = 115

10k + 15 = 115

10k = 100

k = 10

Answer:

2a + 7

Step-by-step explanation:

2a + 6 + 1 ← collect like terms

= 2a + (6 + 1)

= 2a + 7

Answer:

 (x, y) = (-1.8, -1.4)

Step-by-step explanation:

Answer:

i think 1/2(6x-10)-x = 2x-5

Answer:

12p

Step-by-step explanation:

9p+3p=12p

Answer:

23 is the answer of this question

Step-by-step explanation:

bye

Mode means the number that pops up the most repeatedly. In this case it's B.) 2 3

Answer: what? What’s the question?

Answer:

a: 70 degrees, b: 140 degrees

Step-by-step explanation:

Each of the sets of angles must add up to 180 degrees.

180 - 110 = 70

180 - 40 = 140

The measure of side GH is 50.486 units.

Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:

[tex]\angle C \cong \angle F[/tex] (1)

[tex]\angle E \cong \angle H[/tex] (2)

[tex]\angle D \cong \angle G[/tex] (3)

Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:

[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)

If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:

[tex]GH = \frac{FG\cdot DE}{CD}[/tex]

[tex]GH = \frac{31\cdot 11.4}{7}[/tex]

[tex]GH = 50.486[/tex]

The measure of side GH is 50.486 units.

To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965

The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2  miles is greater than 17.6 miles"

In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.

So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"

Learn more about inequality at:

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Answer:

You accedently put Mathematics I think you meant Social Studies haha

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the roots/zeros, set

2

x

3

+

x

2

−

x

equal to

0

and solve.

2

x

3

+

x

2

−

x

=

0

Factor the left side of the equation.

Tap for more steps...

x

(

2

x

−

1

)

(

x

+

1

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

=

0

2

x

−

1

=

0

x

+

1

=

0

Set the first factor equal to

0

.

x

=

0

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

The final solution is all the values that make

x

(

2

x

−

1

)

(

x

+

1

)

=

0

true. The multiplicity of a root is the number of times the root appears.

x

=

0

(Multiplicity of

1

)

x

=

1

2

(Multiplicity of

1

)

x

=

−

1

(Multiplicity of

1

)

Answer:

  -1, 0, 1/2

Step-by-step explanation:

The function can be factored as ...

  y = x(2x^2 +x -1)

  y = x(2x -1)(x +1)

The factors are unique, so each zero has multiplicity 1. The zeros are the values of x that make the factors zero:

  -1, 0, 1/2 . . . . zeros of the function; each with multiplicity 1

Answers:

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

Explanation:

The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.

The range is {0,-2} to indicate the y coordinates of the two points.

We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.

We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.

The procedure that the teacher should follow is as follows;

Read more about Random Numbers at; https://brainly.com/question/251701

#SPJ2

Answer:

2/7

Step-by-step explanation:

gradient y²-y¹/x²-x¹=4-2/4-(-3)

=2/7

{Taking (x¹,y,¹)=(-3,2)

and(x²-y²)=(4,4)

Answer:

48

Step-by-step explanation:

25% is 1/4 of the bag. 12x4 = 48.

There are 48 jelly beans in the bag.

Hope that helps

Answer:

The answer is 48.

Step-by-step explanation:

25%= times by 4.

So.. 12 times 4 = 48.

Hope that helps. x

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].

Solve for the 4th root of 16.

16=4*4=(2*2)(2*2)=2

Step-by-step explanation:

when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.

and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.

and all angles around a single point on one side of a line are together 180°.

because of all that,

angle 2 = angle 3 = angle 6 = angle 7 = 76°

angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°

Answer:

242.9 grams

Step-by-step explanation:

Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams

Answer:

45

Step-by-step explanation:

The sequence adds 1 every step. it has already taken the first 4 steps, so 40 more would just be adding 40 to 5.

Please mark brainliest I really need it

Answer:

43 I think that is the Answer