A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Tammy chooses a marble at random, and without putting
it back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write
your answer as a fraction in simplest form.

Answer:

Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units.  Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula:  the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]

[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area.  (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C.  (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.

Answer:

A.... X=3

Step-by-step explanation:

Answer:

slope is -5\2

Step-by-step explanation:

use the point point slope formula

Answer:

40.4

Step-by-step explanation:

I used a calculator

Answer: -1, 1

Step-by-step explanation:

The other answer is valid.

Answer:

8.66

Step-by-step explanation:

Answer:

28/3

Step-by-step explanation:

Dividing a fraction is the same as multiplying it by the reciprocal.

First, convert 4 and 2/3 to an improper fraction.

You get 14/3. Multiply that by the reciprocal of 1/2 (2/1) to get your answer.

14/3 * 2/1 = 28/3

Answer: 3t+4q.

Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.

Answer:

13t² + 2t + 9

Step-by-step explanation:

(9t² - 3t + 5) - (-4t² + 5t + 4)

Solving like terms

-(-4t²) becomes + 4t²

(9t² + 4t²) + (-3t + 5t) + (5+4) =

13t² + 2t + 9

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

33 Pieces total

Step-by-step explanation:

Answer: 1.75=5n

Step-by-step explanation:

1.75 is being divided by n 5 times

Answer:

jadas practice time is 168 minutes or 2 hours 48 minutes.  Diegos practice time is 235 minutes or 3 hours 55minutes hope this helps! have a nice day and good luck with your test!

Step-by-step explanation:

Answer:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

Step-by-step explanation:

this is an example

Answer:*putting link*

Step-by-step explanation:

Answer:

I think it is 256.

Step-by-step explanation:

32 x 8 = 256

Hope this helps!!!:)

Answer:

[tex] - \frac {1}{2} [/tex]

Step-by-step explanation:

Slope of the line

[tex] = \frac{4 - 2}{5 - 9} \\ \\ = \frac{2}{ - 4} \\ \\ = - \frac{1}{2} [/tex]

Answer:

1/3 x 8^2×pi(3.14)

Step-by-step explanation:

1/3 × 64 × 3.14

[tex]21 \frac{1}{3} \pi[/tex]

Answer:

a. east

b. 60 feet per second

Step-by-step explanation:

did this a while ago.

a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.

b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.

Answer:

c = 18π    exact answer

c = 56.52   decimal approximation

Step-by-step explanation:

c = 2πr

c = 2π * 9

c = 18π    exact answer

Using 3.14 for π

c = 18 * 3.14

c = 56.52   decimal approximation

Answer: M-2 or M substracted by 2

Step-by-step explanation:

Answer:

Take the square root of each side of the equation to set up the solution for

x

(

3

x

−

5

)

2

⋅

1

2

=

±

√

19

Remove the perfect root factor

3

x

−

5

under the radical to solve for

x

.

3

x

−

5

=

±

√

19

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

√

19

3

+

5

3

,

−

√

19

3

+

5

3

The result can be shown in multiple forms.

Exact Form:

x

=

√

19

3

+

5

3

,

−

√

19

3

+

5

3

Decimal Form:

x

=

3.11963298

…

,

0.21370035

…

The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (3x - 5)² = 19

Now,

We can simplify the expression for the solutions as;

⇒ (3x - 5)² = 19

Take square root both side,

⇒ √(3x - 5)² = √19

⇒ (3x - 5) = √19

Add 5 both side,

⇒ 3x - 5 + 5 = √19 + 5

⇒ 3x = √19 + 5

⇒ 3x = ± 4.36 + 5

⇒ 3x = 4.56 + 5

⇒ 3x = 9.36

Divide by 3;

⇒ x = 9.36 / 3

⇒ x = 3.12

And, 3x = - 4.56 + 5

3x = 0.64

x = 0.64/3

x = 0.21

Thus, The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

A)

Step-by-step explanation:

The starting balance is $35

after one game purchase, the balance is 35-1.75=33.25

after two game purchases, the balance is 35-(1.75*2)=31.50

Answer:

the length of the diagonal is 10cm

Step-by-step explanation:

C²=8²+6²

C²= 64+36

C²=100

√C²=√100

C=10cm

Answer:

1 & 1

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

Given the  arithmetic sequence described by the formula;

a= -2(n - 1) + 7

To get a28, we will substitute n = 28 into the expression

a28 = -2(28-1)+7

a28 = -2(27)+7

a28 = -54+7

a28 = -47

Hence a28 is -47

Answer:

D. $350

Step-by-step explanation:

On the 5th month, he has $500, on the 10th month, he has $850. Subtract $500 from $850 to get the average on $350

Answer:

should be about 350 I think I did this problem before sooo

Step-by-step explanation:

I'm not good at explaining

Answer:

-1/2x+1=x-5

x=4

y=-4/2+1

y=-2+1

y=-1

(x,y)=(4,-1)

Answer: s ≤ 60

Step-by-step explanation:

The common inequality signs include:

> which is greater than

< which is less than

= which is equal to

≥ which is greater than or equal to

≤ which is less than or equal to

Since the speed limit is 60 miles per hour, it simply means that the speed limit is less than or equal to 60 miles per hour. This will be:

s ≤ 60

The above means the speed is less than or equal to 60 miles per hour

Answer:

hope it helps

stay safe healthy and happy.

Answer:

11/12

Step-by-step explanation: