in how many ways 5 passengers can sit in a compartment having 16 vacant seats​

Answers

Answer 1

9514 1404 393

Answer:

  524,160

Step-by-step explanation:

Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:

  16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160

_____

The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.


Related Questions

A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?

Answers

Answer:

200 pounds per crate

Step-by-step explanation:

because if you divide 1600 by 8 than you get 200 pounds. then that is you unit rate

Answer:

250

2000 divided by 8

Step-by-step explanation:

The ordered pair (2, 5) is a solution to the system of linear equations.

x + y = 7

2x - 3y = -11

True
False

Answers

Answer: True
Explanation: bc it is

There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds

Answers

60 x 5 + 45 = 345 Seconds

The answer is 345 seconds I hope it helped

If sigma notation n²=204,then n=​

Answers

n is equal to the square root of 204

n=[tex]\sqrt{204}[/tex]

n=2[tex]\sqrt{51}[/tex]

X + 7/8 = 23/8

Please help

Answers

Answer:

x=2

Hope I helped

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

15r-15s=
can you help

Answers

Answer:

i dlnt know 15 I think not sure

Answer: 0 i guess i dont know

Step-by-step explanation:

If you have 54/4 how does it equal 13.5

Answers

Simplifying
54 * 4 = 13.5

Multiply 54 * 4
216 = 13.5

Solving
216 = 13.5

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

I don't like mathematics

Which set of numbers represents a Pythagorean triple?

Answers

Answer:

52 , 165 , 173 is Pythagorean triple.

Step-by-step explanation:

Pythagorean triple;

a² + b² = c²

Computation:

88² + 105² ≠ 139²

39² + 80² ≠ 119²

38² + 198² ≠ 202²

52² + 165² = 173²

So,

52 , 165 , 173 is Pythagorean triple.

I need help please I have to finish this

Answers

Answer:

x = 80 degrees

y = 25 degrees

Step-by-step explanation:

First find angle BCA.

We know a line is 180 degrees, and angle BCD is 130. So 180-130 = 50 degrees for angle BCA.

Since it is isosceles (two lines on both sides of triangle ABC) this means the bottom two angles are the same. Now we know the two angles to find missing angle X.

50+50+ x = 180 degrees

x= 180 - 100 = 80 degrees

Next we know triangle BCD is isosceles, so angle BDC and angle CBD are the same. We know the third angle is 130 degrees.

So 180 - 130 = 50 degrees split between two angles that are the same. So one angle is 50/2 = 25 degrees.

please give thanks by clicking the heart button :)

Convert 0.001 kL to g

Answers

Answer:

1000 g

Step-by-step explanation:

That is the answer

Answer:

Step-by-step explanation:

1 gram.

PLEASE HELP ASAP WILL GIVE BRAINLEIST

Answers

y=9

x=12

hope its right pls do mark me the brainleist

question in the image

Answers

Answer:

thats not a question

Step-by-step explanation:

That’s not a question

which of the following quadratic equation is written in standard form?
a.3x-2x ²=7
b.-2x ²-7=-3x
c.-2x-7+3x=0
d.-2x ²+3x-7=0

Answers

Answer:

d. -2x²+3x-7

Step-by-step explanation:

Standard form is: Ax²+Bx+C

Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7

Answers

The one that is non-linear is D
The answer is D. That is the non linear function!

Please help me thank you I appreciate it

Answers

Answer:

73

Step-by-step explanation:

since it's a right angle it equals 90° and you already know there 17°. so you just subtract 90-17

Using the formula for Fahrenheit and Celsius temperatures, F = 9/5 C + 32.
If the temperature is currently 25 degrees F. what is the temperature in C
degrees? Round to the nearest WHOLE number. LABEL

Answers

Answer:

-4 degrees Celsius

Step-by-step explanation:

F = 25

Substitute into formula:  25 = 9/5C + 32

subtract 32 from each side:  -7 = 9/5C

multiply each side by the reciprocal of 9/5, which is 5/9

-7(5/9) = C

C = -35/9 which is close to -36/9 which is -4 degrees Celsius                                        

6. To solve 3 3/4 + r = 5 3/8, use the
property of equality.
A) addition
B) subtraction
C) multiplication
division
HELP it’s number 6. problem

Answers

Answer:

B

Step-by-step explanation:

3 3/4 +r _3 3/4= 5 3/8_3 3/4

2, 4, 3, 6, 5, 10, 9, 16, does anyone know the next 3 numbers and the pattern ??????????????

Answers

Answer:

No

Step-by-step explanation:

1. What's the fraction 18/24 reduced to its lowest terms?
A. 12
B.24 18
C.34
D. 1824

Answers

Answer:

answer is 3 upon 4

Step-by-step explanation:

because if we reduce 18/24 to its lowest term so first we have to reduce 18 to and then 24 --- 18 is factor of 9x2 and 24 is factor of 12x2 then we have to cut 2 in both and there is answer 9 upon 12 still it is reducing so 3x3 is 9 and 3x4 is 12 so now we have to cut 3 in both the answer is 3 upon 4

A board game was originally priced at $24, it is on sale now for $18. What percent off is the game (percent of
change)?

Answers

See attachment for your problem set up.

Answer:

This is a 25% decrease

Step-by-step explanation:

Find the difference between the two prices

24- 18 = 6

Take that over the original price

6 /24 = 1/4

Change to decimal form

.25

Change to percent form

25%

This is a 25% decrease

Please help, solve a and b

Answers

Answer:

AE and BD use the same lines for both triangles so the angles for C are the same. this means that all the angles are congruent between both triangles.

Step-by-step explanation:

Answer:

The distance across the river d=175ft

Step-by-step explanation:

As◇ ABC& ◇ EDC are similar, BC/CD=AB/ DE

4x/7x=100/d

d=100×7/4=175

12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.

Answers

Answer:

467

Step-by-step explanation:

Graph the following system of equations and find where they meet 3x + 5y = 36 y = 5x - 4

Answers

Answer:

[2,6]

Step-by-step explanation:

3x+5y=36

5x-4=y

3x+5(5x-4)=36

3x+25x-20=36

28x-20=36

28x=56

x=2

5x-4=y

5*2-4=y

10-4=y

6=y

PLEASE HELP ME !!!! I need help

Answers

Answer:

69300 is the total amount without being rounded but after being rounded the answer is 5600

Step-by-step explanation:

You put it in the other comment section for free points

Please help me for the following questions please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!...…..

Answers

Answer:

All are corrects.

Step By Step Explanation:

It's all the same thing.

According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?

Answers

Solution :

According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.

Now this is considered as a joint event. This is because the above statement consists of two events.

1. Video games are sold in the United States.

2. Women purchased video games.

The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree

Answers

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Let 'x' be the degree measure of the first angle.

Given that the degree measure of one of two complementary angles is twice that of the other.

Thus, the other angle = 2x

Complementary angles

We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Question :

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

Answer :

A.) 30 degrees

Solution :

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

Write an equation of the line in slope-intercept form. (-2, 4) (0 -1)

Answers

Answer:

y=-5/2x+1

Step-by-step explanation:

-1-4 ( -5 )

0- (-2 ) = 0+2 ( 2 )

-5/2

y=-5/2x+b

4=-5/2( -2 ) +b

4= 5+b

Subtract 4 from 5 ( 1 )

b=1

y=-5/2x+1

Hope this helped, Have a Great Day!!

The equation of the line passing from the given points is y = -5x/2-1

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a line is passing through two points (-2, 4) and (0 -1)

We know that, the equation of a line passing through two points is given by,

y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)

Therefore,

y-4 = (-1-4)/(0+2)(x+2)

y-4 = -5/2(x+2)

y = -5x/2-5+4

y = -5x/2-1

Hence, The equation of the line passing from the given points is y = -5x/2-1

For more references on equations, click;

https://brainly.com/question/29657992

#SPJ2

A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)

Answers

Answer:

Hence 262 adults and 88chidren are in the audience

Step-by-step explanation:

Let the number adults be x

Let the number of children be y

If there are 350seats in the theatre then;

x+y =350 .... 1

Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;

10.50x + 7.50 y = 3411..... 2

Solve simultaneously

From 1, x = 350-y

Substitute into 2:

10.50(350-y) +7.50y = 3411

3675-10.5y+7.50y = 3412

3675-3y = 3411

-3y = 3411-3675

-3y = -264

y = 264/3

y = 88

From 3: x = 350-y

x = 350-88

x = 262

Hence 262 adults and 88chidren are in the audience

Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?

Answers

Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.

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