Find the number of ways 5 men and 4 women can be arranged in a line if the men and women must alternate.​

Answers

Answer 1

Answer:

man women man women man women man women man

Step-by-step explanation:

hope it helps

Answer 2

Answer:

As there are 5 men and 4 women and they have to arrange a line, they should be positiones like this to be alternated:

MAN - WOMAN- MAN - WOMAN - MAN - WOMAN - MAN - WOMAN - MAN

In the first position they can be put 5 mans, but in the third, 4, as one has been put before, and in the fifth 3, and in the seventh 2 and in the ninth one.

In the second position they can be put 4 women, then 3, then 2 and then one.

We can multiply this:

5 * 4 * 4 * 3 * 3 * 2 * 2 * 1 * 1 = 2880

There are 2880 possibilities to form a line alternating them..


Related Questions

Mia can finish her math homework in 30 minutes. Every night there are 45 problems for homework. How many problems can she finish in 4 minutes?​

Answers

Hi ☁️

45 problems 30 minutes

x problems 4 minutes

____________________

[tex] \frac{45.4}{30} = \frac{180}{30} = 6[/tex]

We learnt this way in Turkey.

Answer: 6 problems in 4 minutes

Step-by-step explanation: If there are 45 problem and she can do them in 30 minutes, then you divide 45 by 30 to see how many problems she can do in one minute. 45 problems/30 minutes = 1.5 problems per minute. Then, you multiply 1.5 by 4, because you need to see the 4 minute mark, and 1.5 x 4 = 6. So, your answer is 6 problems.

(brainly pls)

What is 7x-4y+2x+8y in distributive form? I will give brainliest and 100 points. Thank you.

Answers

Answer:

4(2 1/4x + y)

Step-by-step explanation:

Just factor

In this cae no GCF

So just divide By 4 becuase its easy

If you solve it

You’d get 9x+4y

WHich is the combined term of the expression given

Answer:

4(2 1/4x + y)

Step-by-step explanation:

Just factor

In this cae no GCF

So just divide By 4 becuase its easy

If you solve it

You’d get 9x+4y

WHich is the combined term of the expression given

PLEASE HELP!! I just need help with b-d!

Answers

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

The lights go out, your bedroom is pitch dark, yet you still need to find a pair of socks, in your drawer there is 25 white socks and 25 red socks how many socks do you need to pull out before you get a matching pair?

Answers

Answer: At most 3

Step-by-step explanation:

If there are 25 white socks and 25 red socks, a matching pair would be picked in at most 3 times.

The first sock you pick would be either White or Red

The second sock you pick would be either white or red again which means that you now either have 2 whites, 2 reds or 1 white and 1 red.

The third sock you pick will either be white or red once more. At this point you will either have 3 whites, 3 reds, 2 whites and 1 red or 2 reds and 1 white.

You will therefore have at least a matching pair after 3 tries.

1. (–5, 1)

2. (0,0)

3. (0, 1)

4. (0, 3)

5. (1, 4)

6. (3. 5)

7. (5, 5)

8. (6, 8)​

Answers

what’s the question?
What’s the question?

In 1990 the cost of tuition at a state university was 4300. The tuition increased at a rate of 4% each year.

a) How much would it cost to attend in 2010?
b) How much will it cost to attend in 2025?​

Answers

Answer:

10

20

Step-by-step explanation:

Mrs. Smith bought 6.5 metres of lace. She used 1.3 metre to make a dress. She used the rest to make 4 cushions of the same size. How much lace did she use for each cushion, giving your answer in centimetres?

Answers

6.5 - 1.3 = 5.2
5.2 metres = 520 centimeters
520/4 = 130 centimeters on each cushion

Mrs. Smith used 130 centimeters of lace for each cushion.

What are mathematical operations?

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. There are five fundamental operations in mathematics: addition, subtraction, multiplication, division, and modular forms.

Given Mrs. Smith bought 6.5 meters of lace. She used 1.3 meters to make a dress. She used the rest to make 4 cushions of the same size.

Lace bought by Mrs. smith = 6.5 meters

Since she used lace in the dress = 1.3 meters

remaining lace = 6.5 - 13

remaining lace = 5.2 meters

Since she used the remaining lace to make four cushion

thus, lace required for every cushion = 5.2/4 = 1.3

therefore, she used for each cushion 130 centimeters of lace.

Learn more about mathematical operations here:

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#SPJ2

For questions 1 - 8, find f-'(x), the inverse of f(x). 1. f(x)= x + 12 2. f(x)= -2 3. f(x)=2x +12 4. f(x)= 3x -4 5. f(x)= 2x + 3 6 6. f(x)=​

Answers

Answer:

1) inverse: x - 12

2) inverse: 3x + 6

3) inverse: x/2 - 6

4) inverse: x/3 + 4/3

5) inverse: 3x - 3/2

6) inverse: -3x/2 + 15/2

7) inverse: x/5 - 3

8) inverse: 2x/5 + 1/5

help me please..... :))

Answers

I hope this helps...

Arisia puts $500 into a savings account with an annual simple interest rate of 4.5%. If the savings account pays 5% simple interest, how much interest will Arisia earn on her $500 principal over 20 years?

Answers

Answer:

$500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 500 × 0.05 × 20 = 500

I = $ 500.00

The simple interest accumulated

on a principal of $ 500.00

at a rate of 5% per year

for 20 years is $ 500.00.

Which ordered paur is a part of the equation? 3x-y=13

Answers

Answer:

(6,5), (3,-4) either one of those...

Hardest hw question on the Homework can you solve it?

the ratio of the heights of two similar pyramids is 2:5 in the volume of the smaller pyramid is 100 cubic feet, find the volume of the large pyramid ​

Answers

Volume is a cubic measurement.

Set up a ratio of volume to the ratio of the height:

100/v2 = 2^3/5^3

V2 = 100 x 5^3/2^3 = 100 x 125/8 = 1,562.5 cubic feet

The volume of large pyramid is 1,562.5 cubic feet, by using ratio of heights.

Volume of pyramid based problem:

What information do we have?

Ratio of heights of two similar pyramids = 2:5

Volume of smaller pyramid = 100 cubic feet

Volume of smaller pyramid / Volume of large pyramid = Height of smaller pyramid³ / Height of large pyramid³

100 / Volume of large pyramid = 2³ / 5³

Volume of large pyramid = 125(100) / 8

Volume of large pyramid = 1,562.5 cubic feet

Find out more information about 'Pyramid'.

https://brainly.com/question/13057463?referrer=searchResults

What is the measure of

Answers

Answer:

The measure of Angle B = 82

Step-by-step explanation:

⁕We have to calculate the angle for A.

‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.

⁕You are going to subtract 143 from 180.

[tex]180 - 143 = 37[/tex]

‣So the angle of A is 37. A triangle equals 180 degrees.

⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.

[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]

‣Therefore, angle B equals 82.

A group of friends were working on a student film. They spent $256 on equipment, which was 32% of their total budget. What was the total budget for their student film?

Answers

the total budget for their student film is $337.92

Answer:

800

Step-by-step explanation:

I got it correct on delta math.

What are the solutions of the equation (2x - 21 = 8?

Answers

Answer:

Exact Form: x= 29/2 ( the / is _ under 29)

Decimal form: x= 14.5

Mixed form: x= 14 1/2 ( the / is _ under 2)

                 

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

Which equation shows this formula solved for m?
P=5(m+10) need help asap will give brainest
a. m=[tex]m=\frac{p-5}{10}[/tex]
b.m=[tex]\frac{p}{5}-50[/tex]
c.m=[tex]\frac{p-50}{5}[/tex]
d.m=5p-50

Answers

Answer:

viariables

Step-by-step explanation:

The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.
The band needs to raise $2,400.00 to pay for a trip to the state capital to participate in a parade. They are selling 3-gallon tubs of caramel popcorn for $18.25 each. They have already raised $1,314.00 from the fundraiser.

Answers

Answer:

1086/18.25 = 59.51

60 more tubs of popcorn to reach their target.

Step-by-step explanation:

OK, here we go. Golf Club first

You subtract the total amount they need to raise, by the amount they already have:

2620 - 1225 = $1395.00 to go

Divide that number by the price of golf balls to find out how many more they need:

1395/25 = 55.8

This means that they need to sell at least 56 golf balls to meet the target.

Now to the Percussion Club...

Do the same thing again:

2400 - 1314 = $1086 to go

1086/18.25 = 59.51

So the percussion club needs to sell at lest 60 more tubs of popcorn to reach their target.

The formula for converting temperatures in degrees Fahrenheit is F = 9/5C +32. If the temperature is 40°C, what is the temperature in degrees Fahrenheit?​

Answers

The answer is 104° Fahrenheit

Please help me with this quadratic equation question! I always give out 5 stars, thanks and brainliest to people that help me with a good explanation.

Find the values of p and q given that 12x² - 13x - 7175 = (x-p) (qx + 287)

Answers

Answer:

[tex]p=25,\\q=12[/tex]

Step-by-step explanation:

In [tex](ax+b)(cx+d)=acx^2+bcx+dax+bd[/tex], notice the third term of the quadratic in standard form is formed entirely by [tex]b\cdot d[/tex].

Therefore, in [tex]12x^2 - 13x - 7175 = (x-p) (qx + 287)[/tex]:

[tex]-p\cdot287=-7175,\\-p=\frac{-7175}{287},\\p=\fbox{$25$}[/tex].

Now that we found [tex]p[/tex], we must find [tex]q[/tex]. The first term of the quadratic in standard form is formed entirely by [tex]ax\cdot cx[/tex]. Therefore:

[tex]1\cdot q=12, \\q=\fbox{$12$}[/tex].

Martin is helping his mom set up for a school event. His mom put 150 cups into a box. There are 40 red cups, 60 blue cups, and
50 green cups in the box. He randomly picks 90 cups from the box and sets them out on tables.
How many blue cups is he likely to have set out on tables?

Answers

Answer:

C. 36

There are 150 cups total, and 60 blue cups

[tex]150/60=0.4[/tex]

Multiply that by the number of cups he picked up

[tex]0.4*90=36[/tex]

There is a square with a perimeter of
412
what is the length of the diagonal?

Answers

Answer:

hhjbvft

Step-by-step explanation:

jojo giving kbjvuvuvvuvugubibbibiogg

Ok this ones is rll hard and I need help! the question is:
Whats 3+3?
A: Triangle
B: Purple
C: Flowers
D: 6
Im in 8th grade so good luck on figuring this one out guys its rll hard

Answers

Seems like the answer could be D) 6
uhhh i’m in between c and d but i think d!

What is the value of 15 + x2 when the value of x is 3? also there's a tiny 2 above the 15

Answers

Answer:

231

Step-by-step explanation:

So the tiny 2 above the 15 means 15 is squared

15 squared = 225

225 + x(2)

If x = 3, then simply plug that into the equation

225 + 3(2)

225 + 6

231 is your answer

Answer:

231

Step-by-step explanation:

I put the equation as 15^2+2(3) I'm guessing the x was suppose to be after the 2 because it doesn't make sense putting x in front of the two....

Evaluate HELP PLEASE!!
a)94^-1/2

Answers

Answer:

Exact Form:

1

188

Decimal Form:

0.00531914

Step-by-step explanation:

:)

1 over 188 BTW

Answer:

94i

Step-by-step explanation:

94^-1/2 is the square root of -94 which is an imaginary number

Measure of angle CXF

Answers

50°

angle CXF and DXF are complementary which means they add to 90°

to 40° + x = 90
x = 50

what is the quotient (3x^2 + 8x -3) divided by (x + 3)

Answers

Answer:

Quotient = (3x-1)

Step-by-step explanation:

we need to find the quotient when (3x² + 8x -3) is divided by (x+3)

It means we need to divide (3x² + 8x -3) by (x+3).

We can write it as follows :

[tex]\dfrac{3x^2 + 8x -3}{(x+3)}[/tex]

Applying middle term splitting on the numerator.

[tex]\dfrac{3x^2 +9x-x-3}{(x+3)}\\\\=\dfrac{3x(x+3)-1(x+3)}{(x+3)}\\\\=\dfrac{(3x-1)(x+3)}{(x+3)}\\\\=(3x-1)[/tex]

So, the required quotient is (3x-1)

Ben made a sundial in his backyard by placing a stick with height 6 in. straight into the ground, and marking the hours in the grass. To test it, he checks the time each day when the sun makes an angle of 30 degrees or 60 degrees with the ground. Select all the possible lengths of the shadow when Ben checks the sundial.

a) 12 in.
b)2 rad 3 in.
c)8 in.
d)6 rad 3 in.
e)2 rad 2 in.

Answers

Answer:

B and D

Step-by-step explanation:

Answer:

The answer is 6√3in and 2√3in. Just finished taking the quiz, hope this gives you some conformation! :)

Order these fractions from least to greatest 6/8, 3/8, 5/8

Answers

Answer:

3/8, 6/8, 5/8

Step-by-step explanation:

that is the right answer

GIVING THE BRIANLEIST FOR THE CORRECT ANSWER TO HELP ME WITH MY QUESTIONS!!!
1.





you have a recipe that requires 1/3 ​​ cup of sugar, but you only want to make a fourth of the recipe. How much sugar do you need to make this fraction of the recipe?



1/12 Cups


7/12 Cups


3/4 Cups


4/3 Cups

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

2.


You have half a cake left after a party, and you want to split it into 4 pieces. What fraction of the original cake is each slice?


1/8


1/4


1/2


2/1

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

3.

Your class of 32 students is divided into fourths to create groups to answer a set of questions together. Then, one-fourth of each group has to go to the front of the classroom and read off the group's answers. How many students go up to the classroom for each group?


2


4


6


8




SHOW YOUR WORK PLSSSSS

Answers

Answer:

2

Step-by-step explanation:

32 divided by 4 is 8

1/4 of 8= 2

An invertible function is represented by the values in the table.
Which graph shows the inverse of this function?

Answers

Answer:

your answer should be c

Hope this helps!

Step-by-step explanation:

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