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1. The probability that we select a red marble is 1/3.

We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.

6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

12/18 = (12/6)/(18/6)

(12/6)/(18/6) = 2/3

Thus, the theoretical probability of picking a blue marble is 2/3.

Answer:

50

Step-by-step explanation:

Answer:

area of rectangle = l×b

total area = (11×6) + (8×4)

= 66 + 32

= 98in.sq

Multiply how much he is selling it for by 1.40 and you will get your answer

Answer:

27+ x

Step-by-step explanation:

Answer: 27 + x

Step-by-step explanation:

Add 13 + 14, which = 27

Now you are left with 27 + x

Answer:

A:

12

B:

16

C:

12

Step by Step Solution:

Answer:

the value of x° is also 60°

B

Answer:

60

Step-by-step explanation:

n would be 60 and a triangle is 180

The value of p is 1 3/4

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]p = 1\frac{3}{4} [/tex]

Answer D is correct

Step-by-step explanation:

[tex]3 \frac{1}{2} + p = 5 \frac{1}{4} \\ \frac{7}{2} + p = \frac{21}{4} \\ p = \frac{21}{4} - \frac{7}{2} \\ p = \frac{21 - 14}{4} \\ p = \frac{7}{4} \\ p = 1 \frac{3}{4} [/tex]

hope this helps

brainliest appreciated

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Answer:

Step-by-step explanation:

it is

B

Answer:

7

Step-by-step explanation:

x - 1 would have to equal 6 in order for this expression to be true at 8/6 will simplify to 4/3.

x - 1 = 6

add 1 to both sides to get

x = 7

Please mark me as brainliest if this helped. Thank you!

Answer:

[tex] x= 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The volume of the cone is:

Step-by-step explanation:

You should know that the volume of a straight circular cone is equal to:

Where:

r = radius.

h = height.

Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:

When clearing you get:

By replacing the data you get:

Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:

Answer:

112.8 in  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of polygon = area of square + area of triangle

Square:

Side = 12 cm

Area of square  = side *side

                          = 12 * 12

                          = 144 sq.cm

Triangle:

base (b) = 12 cm

Height h = 19 cm

[tex]Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\[/tex]

= 6 * 19

= 114 sq.cm

Area of polygon = 144 + 114 = 258 square cm

Answer:

-30k^3-10k^2+30k

Step-by-step explanation:

Answer:

maybe the fourth one....

Answer:

one solution

Step-by-step explanation:

Given

3(x - 2) = 22 - x ← distribute parenthesis on left side

3x - 6 = 22 - x ( add x to both sides )

4x - 6 = 22 ( add 6 to both sides )

4x = 28 ( divide both sides by 4 )

x = 7

An equation can either have a solution, no solution or infinite many solutions

The equation has one solution.

The equation is given as:

[tex]\mathbf{3(x - 2) = 22 - x}[/tex]

Open bracket

[tex]\mathbf{3x - 6 = 22 - x}[/tex]

Collect like terms

[tex]\mathbf{3x + x = 6 + 22}[/tex]

Evaluate like terms

[tex]\mathbf{4x = 28}[/tex]

Divide both sided by 4

[tex]\mathbf{x = 7}[/tex]

The above equation is true for x = 7

This means that: the equation has one solution.

Read more about equation solutions at:

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Answer:

Correct answer is option D) Construct the bisector of an angle.

Step-by-step explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line BD is called the angle bisector of [tex]\angle ABC[/tex] if

[tex]\angle ABD = \angle CBD[/tex]

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of [tex]\angle QPR[/tex].

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between [tex]\angle QPR[/tex].

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of [tex]\angle QPR[/tex].

So, Correct answer is option D) Construct the bisector of an angle.

Answer: Option d

Step-by-step explanation: just took test

Answer:

(x - 3)^2 + (y - 5)^2 = (√89)^2

Step-by-step explanation:

Well if you estimate, you can see that the circle touches one point at (-5, 0) and the center is at about (3, 5).

The standard equation for the circle is (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center.

So, you can start by plugging in the center. (x - 3)^2 + (y - 5)^2 = r^2

Now, all you have to do is find the radius.

You can do this by connecting the point (-5, 0) to the center.

You will have to use the distance formula:

√(-5 - 3)^2 + (0 - 5)^2 = √64 + 25 = √89

The final equation will be (x - 3)^2 + (y - 5)^2 = (√89)^2

This is the general idea, but my answer may not be correct, so check my steps.

Answer:

I havent seen questions like this many times so here is solving for b

b=-2x

Just factor and solve.

Answer:

15

Step-by-step explanation:

Answer:

6 7/9 i think

So the right answer is 6 7/9

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

the answer is (1,5,6,35) or (1.5,-2,33

Step-by-step explanation:

Answer:

(x+10) (x+6)

Step-by-step explanation:

x^2 + 16x + 60

Factor

What 2 numbers multiply to 60 and add to 16

10*6 = 60

10+6 = 16

(x+10) (x+6)

Answer:

  C) the number is less than zero

Step-by-step explanation:

In an if ..., then ... statement, the conclusion is the phrase following "then."

Here, we have ...

  If a number is negative, then the number is less than zero.

__

The conclusion is formatted in bold italics.

Answer:

192

Step-by-step explanation:

ratio of 16/20

cross multiple with x/240

20x=3840

divide

192

Answer: 17 is the only prime number

Step-by-step explanation:

Answer:

C 17

Step-by-step explanation:

A. 18  = 2*9  so not prime

B. 12  = 3*4 so not prime

c. 17  

D. 28 = 4*7 so not prime

17 = 1*17 so the only numbers are 1 and itself so it is prime

Answer:

the correct one is 1. 16x - 12(1 + 2x) + 4

Step-by-step explanation:

16x−12−24x+4 is equivalent to 8x-8

1.  16x - 12(1 + 2x) + 4 is equivalent to 8x-8

2.  40x-16 is equivalent to 8(5x−2)

3.  4 - 12 + (2x - 3x) is equivalent to −x−8

4.   -8(x+1) is equivalent to −8x−8

Answer method 1

81 adults and 2 child.

Answer method 2

Therefore  69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending

69 : 60 = 276: 120  = 3.02 distribution.

69 x £4 = $276 + 60-18 = 42 = 42 x 2 = $84

Combined = $276+$84 = $360

We find that an extra 8 adults didnt pay either.

Making this  69 adults and 60 children where 8 adults didn't pay and 18 children didn't pay. This way this create an average 3.02 for the 108 people attending.

3.02 x 108 =  $326

80 adults and 8 child

We use ratio of 108 attendees = 328/108 = 3.03 average price which shows ratio  child to adult 1:2

31 adult +42 child = $124 and $82 children = $208 children

38 more adults = 38 x 4 = 120 + 36 = $156 = (38 +18 children) = $156

= $364 - 36 = 6 child not paying = 12 and  6 adults not paying = 21

Therefore  69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending

of 48 paying and attending and the other 40 children potentially being non payers and part of

Step-by-step explanation:

4+2 = 6

8+2 = 10

4+4 = 8

We look for 80+ 28 and see 8+2 accounts for 4 adults 2 child = $20

We minus the 20 in workings and realize only when we work out 80 x 4 = 320 that only 2 child was needed and not 6 child for $12 of the 28. Because of me thinking 28 was a distribution, such resource of 4 + 1 adults became just 1 extra adult and 1 extra child.

Simply as I was chasing distribution of $24

8 of 24 was kept as

8 accounts for 1 adult and 2 child. = $8

80 accounts for 60 x $4 adults = $240 + 20 x 4 = $80

240+80=320

= $320 +$20 + $8 (-$20) = $328

Here we did not have to count back to find the correct amount only go steady with 80 distribution for 81 adults and only 2 child.

Answer: 2/25

Step-by-step explanation:

Answer:

4 feet or 3.5 feet

Step-by-step explanation:

if 12 inches equals a foot then you divide 42 by 12

which gives you 3.5

Answer:

Step-by-step explanation:

The

x

-intercepts are

(

0

,

0

)

and

(

3

,

0

)

because

3

x

−

x

2

=

0

factored equals

(

x

)

(

x

−

3

)

=

0

When each of the parenthetical expressions is set equal to zero, you get

x

=

0

and

x

=

3

The vertex is

(

3

2

,

9

4

)

because the

x

-coordinate of the vertex is

x-coord. vertex

=

−

b

2

a

=

−

3

2

(

−

1

)

=

3

2

Then, you plug

3

2

into the equation for

x

and get

f

(

3

2

)

=

3

(

3

2

)

−

(

3

2

)

2

=

9

4

the graph of f(x) = 3x will be a Line.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a equation f(x) = 3x

Comparing with the slope-intercept form of the graph:

We can see the slope of the line will be 3 and since the y-intercept is 0

Since Function f(x) will be a linear equation

Therefore, its graph would be a line.

Learn more about Linear equations here:

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Answer:

37

Step-by-step explanation:

[tex]f(4)=2(4)^2-3=\\\\2(16)-3=\\\\32-3=\\\\29\\\\g(29)=29+8=\\\\\boxed{37}[/tex]

Hope this helps!

Answer:

idk

Step-by-step explanation: