How many ways are there to seat six boys and seven girls in a row of chairs so that none of the girls sit together. A detailed explanation would be most appreciated.

Answers

Answer 1

Answer:

5040 ways

Step-by-step explanation:

There will be 13 chairs altogether.

Since there are 7 girls who cannot sit together, the pattern will be alternate.

→ G, B, G, B, G, B, G, B, G, B, G, B, G

Means the ways of girls seated = 7!No. of ways of boys seated = 6!

Total Ways

7! x 6!6! (7 x 1)6 x 5 x 4 x 3 x 2 x 1 x 7720 x 75040 ways

Related Questions

Complete this activity. Record and submit your results.

Toss a coin 200 times. Record the heads and tails as you toss. Submit your results for the number of heads after:

I. 10 tosses
II. 50 tosses
III. 100 tosses
IV. 200 tosses

Answers

Believe it is III. = 100 tosses according to wikipedia a coin flip should about have a chance of 50/50.1.

THE PYTHAGOREAN THEOREM; FIND THE SHORTER SIDE
A television screen with a 68-inch diagonal is 60 inches wide. How tall is
the television screen?

Answers

Answer:

32 inches tall

Step-by-step explanation:

Pythag orean theorem

60^2  + tall^2 = 68^2

tall = 32 inch

help please TIMED 50points owo

Answers

[tex]\\ \rm\Rrightarrow log_ab=\dfrac{lnb}{lna}[/tex]

Hence

[tex]\\ \rm\Rrightarrow log_{625}5=\dfrac{ln5}{ln625}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{ln5}{ln5^4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{ln5}{4ln5}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{4}[/tex]

-4x + y = -9
-
5x + 2y = 3
:
Solve the Linear equation

Answers

-4x+y= -9 can be turned into
y= -9 + 4x

5x+2y=3 (plug y in)
5x+2(-9+4x)=3
5x-18+8x=3
5x+8x=3+18
13x=21
divide 13 on both sides
x=1.6

Jenny is trimming the edge of pillows with lace. Each pillow
requires 15 inches of lace. She has one piece of lace that is 3
feet long and another that is 4 feet long. What is the maximum
number of pillows she will be able to trim with lace?
o 4 pillows
o 5 pillows
6 pillows
o 7 pillows

Answers

the answer should be 6 pillows , hope this helped you

AnswER

6 PILLOWS because 1 feet= 12 inches so you multiply the feet to inches

Step-by-step explanation:

geometry. need help pls

Answers

Answer:

b

Step-by-step explanation:

took this quiz

circle the expression that is equivalent to x/5+x/10

3x/10 2x/15 x/25 x^2/50

Answers

Answer:

A. 3x/10

Step-by-step explanation:

[tex]\frac{x}{5}+\frac{x}{10}[/tex]

Find a common denominator. The lowest common denominator is 10, so match the equations to fit that denominator.

[tex](\frac{x*2}{5*2})+\frac{x}{10}\\\frac{2x}{10}+\frac{x}{10}[/tex]

Now that the denominators are the same, combine the fractions by adding the numerators.

[tex]\frac{3x}{10}[/tex]

Your answer is a.


Sketch the graph of the function h(x) = x2 - 10x + 22 on the
coordinate plane below. Circle the zeros and draw a box
around the vertex

Answers

you will have to do the Circles. I made the graph and found the

vertex

vertex: (5,-3)

Step-by-step explanation:

Can I get help with this problem

Answers

Answer:

4,7,0,

Step-by-step explanation:

answer 1 is 4 2 nd answer is 7 third answer is 0 and 4 th answer is I don't know

The answer should be 4. In sequences, it repeats and in yours it will continue to do this specific one forever.

Find the exact perimeter.

Answers

Step-by-step explanation:

Hi please can u post the diagram so that we can find the perimeter

Helpp me rnnnnnnnnnnnnnnnnnnnnnn

Answers

Answer:

[tex]y=\frac{3}{2} x-3[/tex]

Step-by-step explanation:

Slope Intercept form;

[tex]y=\frac{3}{2} x-3[/tex]

If <6 measures 35, what is the measure of <5?

Answers

Answer:

=> The value of x is 7. Hence, the required solution is 7.

Step-by-step explanation:

What is the axis of symmetry of the graph of f(x)=−2x²+8x−2?

Answers

For the given parabola, the axis of symmetry is x = 2.

How to get the axis of symmetry?

For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.

For a regular parabola, we define the axis of symmetry as:

x = h

Where h is the x-component of the vertex.

Remember that for the general parabola:

y = a*x^2 + b*x + c

The x-value of the vertex is:

h = -b/(2a)

Then for the function:

f(x)=−2x²+8x−2

We get:

h = -8/(2*-2) = 2

Then the axis of symmetry is x = 2.

If you want to learn more about parabolas, you can read:

https://brainly.com/question/1480401

Solve the equation. 5x 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9

Answers

The value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.

What is linear equation?

A linear equation is the equation in which the highest power of the unknown variable is one.

Here, the given linear equation is,

[tex]5x +8 - 3x = -10[/tex]

Solve it by arranging the equation as,

[tex]5x - 3x +8= -10\\2x+8=-10[/tex]

Subtract number 8 both side of the equation as,

[tex]2x+8-8=-10-8\\2x=-18[/tex]

Divide both side of the equation with number 2 as,

[tex]x=\dfrac{-18}{2}\\x=-9[/tex]

Hence, the value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.

Learn more about the linear equation here;

https://brainly.com/question/14323743

Answer: is A

Step-by-step explanation: bc some people dont know how to jus put the letter on there to make life so much easier

NEED HELP!!! WILL GIVE BRAINLIEST, PLEASE COMPLETE BOTH!!!

Answers

solution 1:

[tex]\rightarrow \sf 7 * 3\dfrac{1}{5}[/tex]

[tex]\rightarrow \sf 7 * \dfrac{16}{5}[/tex]

[tex]\rightarrow \sf \dfrac{112}{5}[/tex]

[tex]\rightarrow \sf 22\dfrac{2}{5}[/tex]

solution 2:

[tex]\rightarrow \sf 5\dfrac{4}{10}*2[/tex]

[tex]\rightarrow \sf \dfrac{54}{10}*2[/tex]

[tex]\rightarrow \sf \dfrac{108}{10}[/tex]

[tex]\rightarrow \sf 10\dfrac{8}{10}[/tex]

Ann planted daisies in her garden. After a month, she measured the height of each daisy.

Answers

Answer:

the median is 7 for your question center

RIGHT ANSWER GETS BRAINLIST 50 POINTS

Answers

Answer:

6 cubic cm

Step-by-step explanation:

A = 6a^2

A = 6(1)^2

A = 6(1)

A = 6

It's a cube

Side=a=1cm

TSA

6a²6(1)²6(1)6cm²

Option B (Unit is wrong in options)

Solve the equation 10=8v-3(v+8)

Answers

Answer:

10 = 8v - 3 (v+8)

v = 6.8

Step-by-step explanation:

10 = 8v - 3 (v+8)

10 = 8v - 3v - 24

10 = 5v - 24

24 + 10 = 5v - 24 + 24

34 = 5v

5 ÷ 34 = 5v ÷ 5

6.8 = v or v = 6.8

Hope it helps :)

Lisa’s kitchen is 6. 5 m wide and the perimeter is 29. 6 m and rectangular in shape.


Calculate the length of her kitchen.

m

Answers

ANSWER: 8.3

EXPLANATION :perimeter= (length + width)2

29.6 m = ( length+6.5)2

29.6 = 2l + 13

29.6 Subtract 13 = 2 lengths

16.6÷2 =2l ÷2

length = 8.3

PLEASE HELP


Both circles have the same center. The
circumference of the inner circle is
249.944 meters. What is the area of the
shaded region?

Answers

Pretty much to find the area of the shaded region, you have to take the area of the smaller circle, and subtract it from the bigger circle.

First, to find the area of the smaller circle, you can use the circumference given to help you find that. Since the formula for Circumference is C=2rpi, you can solve for the radius by doing 249.944/(2*3.14).

The radius of the smaller circle will end up being 398/15 m as a fraction, and 26.53 rounded to the nearest hundredth.

Now since you have that, you can use the are of a circle formula to find the bigger and smaller circles.

A=pi(r)^2

For the smaller circle: 3.14*(26.53)^2
= 2210.06 meters squared

For the bigger circle: 3.14*(49+26.53)^2
= 17913.01 meters squared


Now subtract them:
17913.01-2210.06 = 15702.95

The area of the shaded is 15702.95

Which property of addition is shown below? a bi c di = a c bi di identity property associative property commutative property inverse property

Answers

The commutative property of addition is shown here a+bi+c+di = a+c+bi+di which is the correct answer.

What is commutative property?

The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the result.

This property applies to multiplication also.

We have the given expression:

a+bi+c+di = a+c+bi+di

We have to identify the property of addition in the above expression.

Since we can say here that (bi+c) is expressed as (c+bi).

The commutative property of addition states that the numbers can be added in any order.

Mathematically, it states that a+b = b+a.

Here, (bi+c) can be replaced by (c+bi), whether 'b' is added to 'ci' or 'ci' is added to 'b', the result is always the same.

Therefore, the commutative property of addition is the correct answer

Learn more about the commutative property;

https://brainly.com/question/27325958

Answer:

commutative property

Step-by-step explanation:

edge2020

Sam can prepare 20 paintings in 4 weeks. How much time does he need to prepare 80 paintings?

Answers

Answer:

It would take Sam 16 weeks.

Step-by-step explanation:

Step 1. Step up the proportion of
[tex]\frac{4}{20} =\frac{x}{80}[/tex]

Step 2. Do 80x4 to get 320
Step 3. Divide 320 by 20 to get 16.
Hope this helps! :)

Answer:

16 weeks.

Step-by-step explanation:

20 paintings per 4 weeks.

80/20= 4

That says 4 sets of 4 weeks.

4*4=16.

16 weeks.

16*7=112

112 days

I need help please

I will give points and brainlest

Answers

Answer:

  a. 2 7/9 miles

  b. 21.6 minutes

  c. 8 1/3 miles

Step-by-step explanation:

The rate at which Catlin runs can be determined from the graph by finding the coordinates of a grid point that lies on the line. The line goes through the origin, so the relationship between time and distance is proportional.

We see that the point (miles, minutes) = (1 2/3, 12) lies on the graph, so the contant of proportionality is ...

  k = y/x = 12/(5/3) = 36/5 = 7.2 . . . . minutes/mile

__

a.

The proportion can be written ...

  distance/(20 minutes) = (1 mile)/(7.2 minutes)

  distance = (20/7.2) miles = 2 7/9 miles

Catlin will run 2 7/9 miles in 20 minutes

__

b.

The proportion can be written ...

  time/(3 miles) = (7.2 minutes)/(1 mile)

  time = (3)(7.2 minutes) = 21.6 minutes

Catlin was running 21.6 minutes

__

c.

In 1 hour, Catlin will run 3 times as far as in 20 minutes. Using the result from part A, we find ...

  3(2 7/9 miles) = 8 1/3 miles 8 1/3 miles

Catlin will run 8 1/3 miles in one hour.

_____

Additional comment

Once we have a relationship between minutes and miles, we can write proportions with either of those numbers in the numerator or denominator. We find it convenient to put the unknown value in the numerator of a proportion, which is why the ratios are written differently in the different parts of the problem.

Can anyone help me solve this?
ABC is equilateral, each angle has a measure of 9x-12

Answers

Answer:

x=8

Step-by-step explanation:

Angles in a Triangle always add up to 180

So,  3(9x-12)=180

27x-36=180

216=27x

x=8

The angle of the equilateral triangle is 60° and x is 8.

What is a Triangle?

A triangle is a polygon with three sides and three vertices.

The triangle's total number of angles comes to 180°.

Given, measure of angle of an equilateral triangle 9x-12.

The sum of all the angles of the triangle is 180°.

That means,

3(9x-12) = 180°

27x = 180+36

x = 216 / 27

x =8

Therefore, the value of x is 8.

To learn more about the triangle;

https://brainly.com/question/2773823

#SPJ2

What are the roots of the polynomial equation x cubed minus 6 x = 3 x squared minus 8? use a graphing calculator and a system of equations. –40, –4, 5 –5, 4, 40 –4, –1, 2 –2, 1, 4

Answers

Answer:

-2, 1, 4

Step-by-step explanation:

Question was already answered.

Answer:

its D on edge 2022

Step-by-step explanation:

92, 63, 22, 80, 63, 71, 44, 35
Mean:? Median:? Mode:? Range:?

Answers

Answer:

92

22

=

70

.

70

Step-by-step explanation:

subtract and add

The mean is 58.75 . The median is 63. The mode is also 63 . And the range is 70

Find the area of each figure. The unit of length is cm (b) E D 8 25: :15 8 A 36 A 10 M 17 N 12 B




please help asap please please ​

Answers

I hope I can help you:)

What are the multiplicative and additive inverses of 2?​

Answers

Answer:

Additive inverse is -2

Multiplicative inverse is 1/2

Answer:

2 is an integer then the multiplicative inverse of 2 is \[\dfrac{1}{2}\]. Hence, we obtained the additive inverse of 2 is -2 and the multiplicative inverse of 2 is \[\dfrac{1}{2}\].5 days ago

https://www.vedantu.com › the-sum...

The sum of additive inverse and multiplicative inverse of 2 is ______.(a). \\[\\dfrac{3}{2}\\](b). \\[\\dfrac - Vedantu

Hello, The question is in the attachment

Help me, Please.(❁´◡`❁)

Answers

Answer:

1/9

Step-by-step explanation:

Your required probabilty answer is 1/9

help!!

The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave
them a special package for the port fees and taxes - a flat fee of $1,500 for the entire class's port fees
and taxes. It costs $367 per student to board the cruise. If your class raised $16, 600, how many students
can attend?

Answers

Answer:

41 Students

Step-by-step explanation:

Step the equation up as 367x+1500=16600. You want to subtract 1500 from both sides and you get 15100. Divide 15100 by 367 for how much it costs for each student and you get 41.1444141689 you want to round down because you can't have a part of a student.

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