1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly_w [17]
3 years ago
11

Two couples​ (Adam/Brenda and​ Carl/Darlene) have bought tickets for four adjacent seats to see a musical. In how many ways can

the four people be seated if the couples do not sit together​?
Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

The correct answer is 8.

Step-by-step explanation:

Two couples have bought tickets for four adjacent seats to see a musical.

To find the number of ways can the four people be seated if the couples do not sit together​. This is equivalent to finding total number of ways subtract number of ways they are sitting together.

Total number of ways four people can sit in four chairs are 4! = 24.

Number of ways the at least one of the couples sit together is 3! × 2 + 4= 16.

Total number of ways in which the couples do not sit together is

24 - 16 = 8.

We can even think this way (alternate way of thinking):

There are four chairs _ _ _ _.

For the first chair there are four possible options, i.e anyone can sit; then for the second chair there are only two possible options, i.e the other couple; for the third chair there is 1 option, i.e the spouse of the first person who sat on the first chair ; and for the last chair there is only one person left. Thus the number of ways are 4 × 2 × 1 × 1 = 8.

You might be interested in
If 3x plus 2 equals 90 then what is the value of x
Firdavs [7]

Hello!

3x+2=90

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 2 from both sides of the equation.

3x+2-2=90-2

Simplify

3x=88

Then you divide by 3 from both sides of the equation.

\frac{3x}{3}=\frac{88}{3}

Simplify it should be the correct answer.

x=\frac{88}{3}

Answer⇒⇒⇒⇒⇒x=88/3

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

4 0
4 years ago
Which graph represents an odd function?
Nookie1986 [14]

Answer:

<h2>The first graph in the second image is an odd function.</h2>

Step-by-step explanation:

An odd function has a graph that it's symmetric about the origin, that is, the origin is like a mirror. In other words, the graph of an odd function has a specific symmetry about the origin.

So, we have to look for those graph that has symmetrical points in opposite quadrants, I and III or II and IV.

You can observe that the first graph of the second image has this behaviour. You can see that the points are symmetrical across the origin. If you graph a line defined as y=-x, you will observe that such line acts like a mirror.

Therefore, the odd function is the first graph in the second image.

8 0
3 years ago
Read 2 more answers
Eva and Ola have some amount of money,
hram777 [196]

Answer:

<em>£</em><em>1</em><em>9</em>

Step-by-step explanation:

Cheryl = 7 + 5 = £12

this means ova and eva also have £12 at the end

EVA'S ORIGINAL AMOUNT : X -7 =12

X = £19

6 0
3 years ago
Find the perimeter of a quadrilateral with vertices at R (-2, 1), S (-5, 5), T (2, 5), U (5, 1). Round your answer to the neares
Nezavi [6.7K]
Check the picture below.

now, you can pretty much count the units off the grid for the segments ST and RU, so each is 7 units long, and are parallel, meaning that the other two segments are also parallel, and therefore the same length each.

so we can just find the length for hmmmm say SR, since SR = TU, TU is the same length,

\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;S(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad &#10;R(\stackrel{x_2}{-5}~,~\stackrel{y_2}{5})\qquad \qquad &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;SR=\sqrt{[-5-(-2)]^2+[5-1]^2}\implies SR=\sqrt{(-5+2)^2+(5-1)^2}&#10;\\\\\\&#10;SR=\sqrt{(-3)^2+4^2}\implies SR=\sqrt{25}\implies SR=5

sum all segments up, and that's perimeter.

6 0
3 years ago
If -1 is one of the zeroes of py 3x^3-5x^2-11x-3 find other zeroes
katrin2010 [14]

Given:

The function is:

y=3x^3-5x^2-11x-3

It is given that -1 is a zero of the given function.

To find:

The other zeroes of the given function.

Solution:

If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.

It is given that -1 is a zero of the given function. So, (x+1) is a factor of the given function.

We have,

y=3x^3-5x^2-11x-3

Split the middle terms in such a way so that we get (x+1) as a factor.

y=3x^3+3x^2-8x^2-8x-3x-3

y=3x^2(x+1)-8x(x+1)-3(x+1)

y=(x+1)(3x^2-8x-3)

Again splitting the middle term, we get

y=(x+1)(3x^2-9x+x-3)

y=(x+1)(3x(x-3)+1(x-3))

y=(x+1)(3x+1)(x-3)

For zeroes, y=0.

(x+1)(3x+1)(x-3)=0

(x+1)=0 and 3x+1=0 and x-3=0

x=-1 and x=-\dfrac{1}{3} and x=3

Therefore, the other two zeroes of the given function are -\dfrac{1}{3} and 3.

3 0
3 years ago
Other questions:
  • What is the radius of a circle with a circumference of 30.4 feet? 4.8ft 3.4ft 6.3ft 9.7ft?
    6·1 answer
  • Which of the following values are in the range of the function graphed below?
    12·2 answers
  • (V2.00)<br>Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form.<br>​
    9·1 answer
  • A triangle cannot be both
    8·1 answer
  • What is y=--x+4 in standard form?<br>M​
    14·1 answer
  • (3x-4) (x+2) = 448<br> What is the value of x?
    12·1 answer
  • I need help with this question ASAP
    7·2 answers
  • Help me please!! <br><br> Find the value of x
    6·1 answer
  • Question 3 (4 points)
    15·1 answer
  • Help please?…………..:)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!