7(x+2)+34=55 (Find X in the following question)

Using the combination formula, it is found that:

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The order in which the students are chosen is not important, which means that the combination formula is used to solve this question.

Combination formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

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Question a:

Twice as many ways to choose the teams of 3 than the teams of 2, thus:

[tex]C_{n,3} = 2C_{n,2}[/tex]

[tex]\frac{n!}{3!(n-3)!} = 2\frac{n!}{2!(n-2)!}[/tex]

We have to solve for n, thus:

[tex]2!n!(n-2)! = 2(3!)(n!)(n-3)![/tex]

[tex](n-2)! = 3!(n-3)![/tex]

From the factorial concept: [tex](n-2)! = (n-2)(n-3)![/tex], thus:

[tex](n-2)! = 3!(n-3)![/tex]

[tex](n-2)(n-3)! = 3!(n-3)![/tex]

[tex]n - 2 = 3![/tex]

[tex]n - 2 = 6[/tex]

[tex]n = 8[/tex]

There are 8 students in the group.

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Question b:

First we have to find the total number of students, using the same logic as item a.

[tex]C_{n,3} = 2C_{n,2}[/tex]

[tex]\frac{n!}{3!(n-3)!} = 3\frac{n!}{2!(n-2)!}[/tex]

[tex]2!n!(n-2)! = 3n!3!(n-3)![/tex]

[tex]2(n-2)(n-3)! = 18(n-3)![/tex]

[tex]n - 2 = 9[/tex]

[tex]n = 11[/tex]

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The number of teams of three is:

[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

165 teams of three can be selected from this group.

A similar problem is given at https://brainly.com/question/23302762

Answer:

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Step-by-step explanation:

7+7.857836-$(92726940)

Answer:

b / a.

Step-by-step explanation:

b / c = a

b = a * c

a * c = b

c = b / a.

Hope this helps!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

15cm²

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

25

Step-by-step explanation:

40+76+84 = 200.

200 ÷ 8 = 25

Answer: 25.

Answer:

[tex]10x−15[/tex]

Step-by-step explanation:

[tex]5(2x−3)[/tex]

[tex]5(2x)+5( −3)[/tex]

[tex]10x+5(−3)[/tex]

[tex]10x−15[/tex]

Answer:

[tex]10x + 15[/tex]

Step-by-step explanation:

[tex]5(2x−3) [/tex]

[tex]5(2x)+5(−3)[/tex]

[tex]10x + 15[/tex]

Answer:

all i see is ..........

Step-by-step explanation:

Answer:

hope this helps you have a great

Answer:

He ate 40% of it

Step-by-step explanation:

20/50 is 2/5, which is basically 4/10 therefore equaling 40%

Answer:

Step-by-step explanation:

Earnings per week = $ 400

Earning for 'w' week = 400*w + holiday bonus

                                   = 400w + 250

Earnings at 4 weeks = 400*4 + 250

                                   = 1600 + 250

                                   = $ 1850

Earnings at 12 weeks = 400*12 + 250

                                   = 4800 + 250

                                   = $ 5050

Earnings at 36 weeks = 400*36 + 250

                                   = 14400 + 250

                                   = $ 14650

Answer:

2

Step-by-step explanation:

2x+2(x-2)=4

2x+2x-4=4

4x=4+4

4x=8

X=8÷4

X=2

Answer:

Step-by-step explanation:

Its like doing a long division with base 10 numbers:

           1110    <----------- Quotient

101)1001010

        101

         1000

            101

               111

                101

                  100

So the answer is 1110 remainder 100.

We can confirm this by converting to decimal numbers

1001010 = 74 and 101 = 5.

74 / 5 = 14 remainder 4.

Answer:

the answer is on the computer

Step-by-step explanation:

Based on the fact that there are  4 points which are given below, we have to move the trapezoid to the points of B will be (x+1, y-3).

The points on the graph are:

A trapezoid is regarded as a  quadrilateral that has only one pair of opposite sides that are said to be parallel.

It is made up of a right angles (called right trapezoid), and it can also contain a congruent sides (isosceles). Note that in the above, the only way the trapezoid  can fit into the translation movement (Point B)is if it is moved to the points of (x+1, y-3) on the graph.

B(-5,4) =>B'( -4,1)

B= 5-4,  4-3 =  +1, -3.

Learn more about trapezoid  from

https://brainly.com/question/1410008

After translation, the coordinate of point B' is (-4, 1).

Use the concept of coordinate defined as:

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

The given translation is:

(x+1, y-3)

The coordinate of B' is (-5, 4)

Now apply the translation on the point B'

(-5+1, 4-3) = (-4, 1)

Hence,

After translation, the coordinate of point B' is (-4, 1).

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ3

In this problem, the distributive property is very important, but there is another thing that we can look at to make this much easier. We notice that the terms on the left are being multiplied by 6. We can rewrite the right side so that it is also a multiple of 6:

6(3c - 5d + 6) = 6(1)

Now, we can divide both sides by 6, and we get:

6(3c - 5d + 6) = 6(1)

3c - 5d + 6 = 1

3c - 5d = -5

Answer:

15 cm

Step-by-step explanation:

Step-by-step explanation:

(p+1)³

p³+3×p²×1+3×p×1²+1³

p³+3p²+3p+1

I hope it helped U

stay safe stay happy

I hope it will be helpful to you .

Hey there! I'm happy to help!

We see that all of our y-values go negative and our x-values stay the same. It isn't a rotation because then our x-values will switch, but they haven't switched in our problem, so A and D are incorrect.

Reflecting over the line y=x is just reflecting over a diagonal line, and that will switch the x-value as well.

The correct answer is B. reflect over the x-axis. All of the x-values stay the same here, but the y-values are all on the other side of the x-axis, so they are all negative now, and this matches the change we see with our points.

Have a wonderful day and keep on learning! :D

Answer: 2/25

Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.

First find the probability of selecting a blue marble.

There are 2 favorable outcomes, the blue marbles,

and 10 possible outcomes, all the marbles in the bag.

So the probability of selecting a blue marble is 2/10 or 1/5.

Always reduce when finding probability

Now we find the probability of selecting a green marble.

There are 4 green marbles and 10 total so the probability of

selecting a green marble is 4/10 or 2/5.

Now we multiply the probabilities.

So we have 1/5 x 2/5 or 2/25.

Answer:

none of these

Step-by-step explanation:

area of the triangle =height ×base and then divide by 2

Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

Examples:

In case one of the integers is negative and one positive.

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

Examples:

Step-by-step explanation:

Let the numbers be x and y

If both are of same signs then

|x + y| = x + y

-|x + y| = -(x + y) = -x - y

If one is negative and one is positive

-|x + (-y)| = -|x - y| = -x + y

-|y + (-x)| = -|y - x| = -y + x

Answer:

first part is 32 inches, second part is 16 inches, third part is 11 inches.

Step-by-step explanation:

2x + x + x - 5 =  59

4x + 64

x = 16.

we can then plug 16 in first parts expression, 2x, for 32. second part is just x so 16. 3rd part is 5 less, x-5, so 11.

Answer:

c =2n

Step-by-step explanation:

cost c is given by cost of each person multiplied by number n of people

Answer:

47. n = -3

48. n = -15

49. n = -13/3

50. n = -17/3

Step-by-step explanation:

47.

6n + 4n = -30, so 10n = -30. Dividing by 10 on both sides, we get that n = -3.

48.

6n - 4n = -30, so 2n = -30. Dividing by 2 on both sides, we get that n = -15.

49.

6n - 4 = -30, so 6n = -26. Dividing by 6 on both sides, we get that n = -13/3.

50.

6n + 4 = -30, so 6n = -34. Dividing by 6 on both sides, we get that n = -17/3.

Answer:

Answer:

1/3

Step-by-step explanation:

I guess it's asking for probability of prime number

so we have 3 card and only one of them is prime (5)

so the answer is 1/3

Answer:

i would say 1/5 because it is between 2 and 12

Step-by-step explanation: