Dance class has 22 students; 10 are women and 12 are men. if5 men and 5 women are tobe chosen and then paired off, how many results are possible?

Answers

Answer 1

A total of 23, 950, 080 results are possible.

We are given;

10 women

12 men

5 men and 5 women, chosen and pared off, how many results in total?

Thus;

[10 choose 5] x [12 choose 5]=252 x 792 = 199584 ways

We then need to know how many ways there could put into pairs i.e. For the first woman, there will be 5 choices of men. For the second woman, there will be 4 choices remaining of men. For the third woman, there will be 3 choices remaining. For the fourth woman, there will be only 2choices remaining, and only 1 choice left for the last woman.

Therefore, there are 5x4x3x2x1 = 120 ways.

 In total there are 199584x120 = 23950080 total  ways

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Related Questions

Evaluate

2 (n + 3) if n = 4

Answers

Answer:

14

Step-by-step explanation:

4 + 3 = 7 (as you do brackets first)

7 X 2 = 14

this is BIDMAS or BODMAS

Answer:

14

Step-by-step explanation:

2 ( 4+3) = 2x7=14

see if you can find x ??

see if you can find x ??

Answers

Answer:

just do 130 +5x+19=180

Answer:

Step-by-step explanation:

180° = 130°+5x+10

180 = 140+5X

-140 -140

40 = 5X

/5 /5

8 = X

Its the Highlighted Words

Its the Highlighted Words

Answers

Answer:

17) B), E)

18) A)

Step-by-step explanation:

Hope this helps

You buy two packages of almonds and mix them together into one bowl.

One package is 8.24 kg and the other is 6.62 kg. How Much Is the bowl?

Answers

Answer:

whenever you do zoom, tell me

Step-by-step explanation:

If the equation of a line is: Y= 200 -3X This line is
downward sloping
upward sloping
vertical
horizontal

Answers

Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

linear equation
4(-8x +5)=-30x-26

Answers

Answer:

x=23

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

have a great day and thx for your inquiry :)

# 20

Find the product. Write the expression in simplest form.

(r³ - 6t¹) (r³ + 6t¹)


(special products of polynomials)

Answers

Answer:

Using the difference of squares formula, we have:

(r³ - 6t¹) (r³ + 6t¹) = r³ × r³ - r³ × 6t¹ - 6t¹ × r³ - 6t¹ × 6t¹

= r^6 - 36t²

Therefore, the expression in simplest form is r^6 - 36t².

what is an absolute value equation that has the solutions x=-6 and x=10

Answers

Answer: | x - 2 | = 8

For what values of x is x2 + 2x = 24 true?
–6 and –4
–4 and 6
4 and –6
6 and 4

Answers

Answer:

Option C

x²+ 2x -24=0

x²+6x-4x-24= 0

x(x+6) -4(x+6) = 0

(x+6)(x-4) = 0

x= -6 and 4

Therefore, for x = 4 and -6 , the above given equation is true.

Due today thank you!

Due today thank you!
Due today thank you!

Answers

Answer:

1st Picture: m∠RPS= 15° m∠QPR=25°

2nd Picture: x= 53°

Step-by-step explanation:

1st Picture:

8x+7+9x+16=40

17x+23=40

17x=40-23

17x=17

x=1

Substitute the x values with 1 and solve.

The library is 3.56 kilometers from Maria's house and 1.38 kilometers from Simon's house. How much farther does Maria live from the library than Simon?

Answers

Answer: 2.18 kilometres

Step-by-step explanation:

First we take down the information given to us

Maria's house to library (distance) = 3.56 km

Simon's house to library (distance) = 1.38 km

Now to get how farther Maria lived from the library compared to Simon, we subtract the distance between the library and Simon's house from the distance between the library and Maria's house

i.e

3.46km - 1.38km  = 2.18km

there for Maria lived 2.18 kilometres farther from the library compared to Simon.

2) You owe $225 on your credit card. You make a $55 payment then purchased $87 worth of clothes. What is the integer that represents the new balance on the credit card? *

Answers

Answer:

83

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

225-55-87=83

hope it helps

Which term best describes a parallelogram with diagonals that are perpendicular?-quadrilateral-trapezoid-rectangle-rhombus-kite square-parallelogram

Answers

Best describe a parallelogram with diagonals that are perpendicular is rectangle.

A parallelogram with diagonals that are perpendicular is called a rectangle. A rectangle is a special type of parallelogram that has four right angles. This means that the diagonals of a rectangle are perpendicular to each other, and they bisect each other.

In addition to having perpendicular diagonals, a rectangle has other unique properties. Its opposite sides are congruent and parallel, and all angles are right angles. The diagonals of a rectangle have the same length, and they divide the rectangle into four congruent right triangles.

The properties of a rectangle make it a useful shape for many practical applications. For example, rectangular shapes are commonly used in building construction, furniture design, and graphic design. The perpendicular diagonals of a rectangle also make it useful for geometric proofs and calculations.a

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divide 81 ft in the ratio 5 :4

Answers

Answer:

Rr = 51 : 68

Step-by-step explanation:

find the sum of the first 15 terms of the goemetric series 3+9+27

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

find the sum of the first 15 terms of the goemetric series 3+9+27

Out of 120 high school boys and 80 high school girls, 45 students tried out for track. Twelve of those 45 students were girls. Use this information to complete the two-way table. Enter your answer by filling in the boxes to complete the table.

Answers

As per the question, 33 boys tried the track and 87 boys didn't, whereas 12 girls tried the track and 68 girls didn't.

Total number of boys = 120

Total number of girls = 80

Students who tried out for track = 45

Students that were girls = 45

If 12 were girls, therefore,

Total number of boys -

= 45 - 12

= 33

This means that 33 boys tried the track

Now, since 12 girls tried the track

Boys who did not try the track -

= 120 - 33

= 87

Girls who did not try the track -

= 80 - 12

= 68

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What is the awsner to (-6)(8) + (-11)

What is the awsner to (-6)(8) + (-11)

Answers

Answer:

-59

Step-by-step explanation:

(-6) (8) + (-11)

(-48) + (-11)

-48 -11

-59

Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.

Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.

Answers

The solutions to the given system of equations are x = 6 and y = -5

Simultaneous linear equations

From the question, we are to solve the given system of equations

The given system of equation is

4x+5y=-1

-5x-8y=10

Multiply the first equation by 5 and the second equation by 4

5× (4x+5y=-1)

4× (-5x-8y=10)

20x + 25y = -5

-20x - 32y = 40

------------------------

0x + (-7y) = 35

-7y = 35

y = 35/-7

y = -5

Substitute the value of y into the first equation to find x

4x + 5y = -1

4x + 5(-5) = -1

4x -25 = -1

4x = -1 +25

4x = 24

x = 24/4

x = 6

Hence, the solutions to the given system of equations are x = 6 and y = -5

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brainliest, 100 points, and its multiple choice!!!!

brainliest, 100 points, and its multiple choice!!!!

Answers

Answer:

Answer is C

(-2,3)

Step-by-step explanation:

Answer:

(-8, 18)

Step-by-step explanation:

To solve this system of equations using elimination, we want to eliminate one of the variables by adding or subtracting the two equations.

One way to do this is to multiply the second equation by a constant that will make the coefficient of x the same as in the first equation. In this case, we can multiply the second equation by -5, which will give us:

-15x - 10y = -60

Now we can add this equation to the first equation:

5x + 2y = -4

-15x - 10y = -60

-10x - 8y = -64

Dividing both sides by -2, we get:

5x + 4y = 32

Now we have one equation with only x and y, so we can solve for either variable.

Let's solve for y by subtracting 5x from both sides:

5x + 4y = 32

-5x = -5x

4y = 32 - 5x

Dividing both sides by 4, we get:

y = (32 - 5x) / 4

Now we can substitute this expression for y into one of the original equations to solve for x. Let's use the first equation:

5x + 2y = -4

5x + 2[(32 - 5x) / 4] = -4

Multiplying both sides by 4, we get:

20x + 2(32 - 5x) = -16

Simplifying, we get:

20x + 64 - 10x = -16

10x = -80

x = -8

Now we can substitute this value of x into either of the equations to solve for y. Let's use the first equation again:

5x + 2y = -4

5(-8) + 2y = -4

-40 + 2y = -4

2y = 36

y = 18

Therefore, the solution to the system of equations is (x, y) = (-8, 18).

to find a number in the square multiply the numbers in the two circles connected to it
fill in the missing numbers

to find a number in the square multiply the numbers in the two circles connected to it fill in the missing

Answers

Answer:

Square at the right = -18
Circle at bottom-left = 2
Circle at bottom-right = 6

Step-by-step explanation:

Looking at the left side, -3 × 2 = -6 so the circle at the bottom-left is 2

Looking at the bottom, 2 × 6 = 12 so the circle at the bottom-right is 6

Looking at the right side, 6 × -3 = -18 so the square at the right in -18

what is -10 . -2 reflected to the y axis

Answers

(10, -2) is the answer when reflected to the y axis.

The ships kitchen stocks 1 3/5 quarts of ice cream for every 1/4 cake. There are 10 cakes in the kitchen. How many quarts of ice cream are there?
PLEASE EXPLAIN YOUR ANSWER!!!!

Answers

Answer:

3

Step-by-step explanation:

I can't explain.. i don't know it's like a whole paragraph. I'm sorry! I hope I helped tho!

Answer:

The answer is 64, and I’m being for real

Step-by-step explanation:

scientific Notation helpppppp ;-;

scientific Notation helpppppp ;-;

Answers

Answer:

7

Step-by-step explanation:

\(2.8 \times {10}^{5} = 2.8 \times 100000 = 280000 \\ 4 \times {10}^{4} = 4 \times 10000 = 40000 \\ 280000 \div 40000 = 7\)

A line has a slope of –12 and passes through the point (6,–9). Write its equation in slope-intercept form.

Answers

Answer: y = -12x + 63

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. We are given the slope of the line, which is -12, and a point that the line passes through, which is (6,-9).

Using the point-slope form of a linear equation, we have:

y - (-9) = -12(x - 6)

Simplifying this equation, we get:

y + 9 = -12x + 72

Subtracting 9 from both sides, we get:

y = -12x + 63

Therefore, the equation of the line in slope-intercept form is y = -12x + 63.


what is the perimeter of rhombus ABCD ?

what is the perimeter of rhombus ABCD ?

Answers

Answer:

20

Step-by-step explanation:

Since you can use the Pythagorean theorem to calculate the length of the hypotenuse, each side can be found to be 5. There are four equal sides, so it is 20.

12x + 5y = -24 13x - 5y = 14 Linear Equations By Elimination

Answers

Let,

\(\begin{gathered} 12x+5y=-24\ldots(1) \\ 13x-5y=14\ldots(2) \end{gathered}\)

Perform the operation (1)+(2),

\(\begin{gathered} 12x+5y+(13x-5y)=-24+(14) \\ 12x+13x+5y-5y=-10 \\ 25x+0y=-10 \\ 25x=-10 \\ x=\frac{-10}{25} \\ x=\frac{-2}{5} \end{gathered}\)

Substitute the value of x=-2/5 in the expression (1).

\(\begin{gathered} 12\times\frac{-2}{5}+5y=-24 \\ 5y=-24+\frac{24}{5} \\ 5y=\frac{-96}{5} \\ y=\frac{-96}{5\times5} \\ y=\frac{-96}{25} \end{gathered}\)

Thus, the value of x is -2/5 and value of y is -96/25.

what are the zero of f(x)=x(x-8)

Answers

The zeroes of the function f(x) = x (x – 8) will be 0 and 8.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

f(x) = x (x – 8)

The zeroes of the function f(x) is given by the factor equals to zero.

Then we have

      f(x) = 0

x(x – 8) = 0

          x = 0, 8

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Paul has a 3/4 inch long bolt. he buys a bolt that is longer 1/8 and a bolt that is inch shorter 3/4 - inch than the bolt. what are the lengths of the two bolts he buys?

Answers

Answer:

Step-by-step explanation:

The first bolt he buys has length 3/4 in plus 1/8 in, which comes out to

6/8 + 1/8 inch, or 7/8 inch.

The second bolt length cannot be determined using the information given:  "3/4 - inch shorter."  Ensure that you have copied down this probjem completely and accurately.

8 more than the quotient of a number and 3 is equal to 5

Answers

Answer:

8+ n/3=5

Step-by-step explanation:

Just rewrite the  problem using words.

Answer:

I believe the answer would be 8+x÷3=5

Are the two triangles similar? If so, why are they similar?
A. The triangles are similar by the definition if similarity (all congruent angles, all proportional sides)
B. The triangles are similar by AA~ Theorem
C. The triangles are similar by SSS~ Theroem
D. The triangles are not similar

If they are similar, what is the similarity statement?
A. HGF~CBA
B. HGF~BAC
C. HGF~ABC
D. Not similar​

Are the two triangles similar? If so, why are they similar?A. The triangles are similar by the definition

Answers

Answer: I'm pretty sure it's D

Step-by-step explanation:

Sorry if i'm wrong

The two triangles \(\triangle HGF\) and \(\triangle ABC\) given in figure are not similar.

What is similarity in triangles?

Two triangles are said to be similar when their three pairs of corresponding sides are equal. And also if two triangles have all congruent angles, all proportional sides then triangles are similar.

We have,

\(\triangle HGF\) and \(\triangle ABC\) neither they have congruent angles nor they have equal sides and also they do not have all proportional sides.

So, from the above given statement of similarity in triangles, we can conclude that both the given triangles \(\triangle HGF\) and \(\triangle ABC\) are not similar.

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