please help me immediately for brainliest
A bus has 6 seats and there are 8 passengers.In how many ways can the bus be filled?​

Answers

Answer 1

Answer:

The number of ways the bus can be filled is 28 ways

Step-by-step explanation:

The given parameters are;

The number of seats in the bus =  6

The number of passengers available = 8

The number of ways the bus can be filled involve the number of ways of selecting from the 8 passengers taking 6 at a time given as follows;

The combination of n items, taking n items, taking r at a time is [tex]_nC_r[/tex]  which can be given as follows;

[tex]_nC_r = \dfrac{n!}{r! \cdot (n - 1)}[/tex]

Therefore;

The number of ways the bus can be filled is therefore;

[tex]_8C_6 = \dfrac{8!}{6! \times (8 - 6)!}= \dfrac{8!}{6! \times 2!} = \dfrac{8 \times 7}{2 \times1} = 28 \ ways[/tex].


Related Questions

Geometry: Which answer is correct?

Answers

Answer:

ANSWER D

Step-by-step explanation:

Trust me It’s D I did everything I could 2 times and got D you’ll thank me later!

[tex]p^{2} +6p=q^{2}+6q.\\p\neq q.\\Solve for p+q.[/tex]

Answers

Answer:

[tex]p + q = -6[/tex]

Step-by-step explanation:

[tex]p^{2} + 6 p = q^{2} + 6q \\p^{2} - q^{2} = 6q - 6p[/tex]

[tex]( p + q) ( p-q) = 6 ( q - p )[/tex]

[tex]p + q = \frac{6 ( q - p)}{(p-q)} \\p + q = \frac{-6( p - q)}{(p - q)} \\p + q = -6[/tex]

Help me please I’ll give you brainliest

Answers

Answer:

B) 7 2/3, √3/2, 4/5, -2π, -6.5

Step-by-step explanation:

B) 7 2/3, √3/2, 4/5, -2π, -6.5

CAN SOMEONE HELP ME SOLVE THIS, PLZZ? THANKS!

Answers

I believe the Answer in the blue is correct

HELP which equation is modeled below​

Answers

Answer:

the last one

Step-by-step explanation:

because you have three xś and 2 negative ones add those together and you get -2 then the last bit is the answer which i checked is correct. i'm eighth grade so i am correct.

Glad to help.

the last one is modeled below

jordan has 3/8 pond of candy. he gave some to his brother and now he has 1/10 pound left.how much did he give to his brother

Answers

Given :

Amount of candy Jordan have , [tex]A=\dfrac{3}{8}\ pounds[/tex] .

Amount left after giving some to brother , [tex]a=\dfrac{1}{10}\ pounds[/tex] .

To Find :

How much did he give to his brother .

Solution :

Let , amount he gave to his brother is , b .

So ,

[tex]\text{Amount left = Total amount -Amount he give to his brother}\\\\a=A-b\\\\b=A-a\\\\b=\dfrac{3}{8}-\dfrac{1}{10}\\\\b=\dfrac{(3\times 10)-8}{80}\\\\b=\dfrac{22}{80}\\\\b=\dfrac{11}{40}[/tex]

So , amount he give to his brother is  [tex]\dfrac{11}{40}[/tex] .

Hence , this is the required solution .

what categories does the the following number belong in? -17

A. natural, whole, integer, rational, and real
B. irrational and real
C. integer, rational, and real
D. irrational and integer

Answers

Answer:

c.

That's because numbers like 2,31, 50 and so on are integers while 2.4, √66 ND so on are not

2x + 2x + 2 = 4x + 2


PLEASE ANSWER ASAP! I'll send u 5 dollars ! but please hurry :(​

Answers

Answer:

All real numbers make this equation true (-∞,∞)

Solve for t in this equation and show steps please
d = vt + 1/2(a)(t^2)

Answers

Answer:

if im reading the problem correctly answer is in the pic

Step-by-step explanation:

What is the absolute value of 5?
5
ОО

Answers

Answer:

absolute value of 5 is -5

Answer:

i think you meant to type 500 so here you go

Step-by-step explanation:

5 hundred is the absolute value

A square with an area of 250sq.m is inscribed in a circle. Find the diameter of the circle

Answers

Answer:

22.36 m

Step-by-step explanation:

Diagonal of the square would be the diameter of the circle.

Area of square = 250 sq m

[tex]Side \: of \: square = \sqrt{250} \: m \\ diagonal \: of \: square \\ = \sqrt{ {( \sqrt{250)} }^{2} + {( \sqrt{250)} }^{2}} \\ = \sqrt{250 + 250 } \\ = \sqrt{500} \: m \\ = 22.3606798 \: m \\ = 22.36 \: m \\ \therefore \: diameter \: of \: circle = 22.36 \: m[/tex]

Point 6 is on line segment FH. Given FG=8 and GH=11, determine length FH

Answers

Answer:

GH = 20

Step-by-step explanation:

We have that

FH = FG + GH ← substitute values

4x + 8 = x + 5x

4x + 8 = 6x ( subtract 4x from both sides )

8 = 2x ( divide both sides by 2 )

4 = x

Hence GH = 5x = 5 × 4 = 20GH = 20

Simplify the expression

Answers

Answer:

9/4

Step-by-step explanation:

5×|-2-7(3)|-2×17

5×|-2-21|-34

5×|-23|-34

5×23-34

115-34=81

22+sq rt(7×28) 28=4×7 sq rt= 2×2×7×7

22+2×7=22+14=36

81÷9/36÷9=9/4

So the answer is a, now let me tell you why if you need proof

Starting from the top
So take the seven and multiply it to the 3 to get 21 and then subtract the negative two to the negative twenty one so you should have 5 | -23| -2*17 simply the |-23| so it says it’s absolute value which is 23 so you have 5*23 - 2*17, now just go ahead and multiply the 5 and the 23 to get 115 and the 2 to the 17 to get 34, now you should have 115-34, that’s obviously 81
Now for the bottom
22 + √7*28, now you just multiply the 7 to the 28 and you get 196 and the square root of that would be 14 so now you should have 81/22+14 so far, now just add the 22 and 14 to get 36 and simplify the fraction to get 9/4 and that’s A
(if you keep going, you get 2.25)

Molly bought a large basket of 6060 apples. When she got home, she found 44 rotten ones. If she goes back and buys 200200 more apples, how many rotten apples would she expect there to be?

Answers

Answer: 13

Step-by-step explanation:

This is the correct question:

Molly bought a large basket of 60 apples. When she got home, she found 4 rotten ones. If she goes back and buys 200 more apples, how many rotten apples would she expect there to be?

From 60 apples, there are 4 rotten apples. This gives a fraction of:

= 4/60

= 0.06667

Therefore, when she buys 200 apples, tge number of rotten ones expected will be:

= 0.06667 × 200

= 13.334

= 13 approximately

Alexander was given a gift card for a coffee shop. Each morning, Alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.

Answers

Answer: [tex]A = 15 - 4x[/tex] .

Step-by-step explanation:

Total amount remaining = Initial amount in the card-( Cost per cup × (Number of cups) )

Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance.

i.e.  9 = Initial amount in card - (1.50 × 4)

⇒  9 = Initial amount in card - (6)

⇒  Initial amount in card = 9+-6 =15

⇒  Initial amount in card = $15

Let A be the amount money remaining on the card after buying x cups of coffee.

So,  A = 15 - 4x

Hence, the required equation is [tex]A = 15 - 4x[/tex] .

Answer:

A= -1.50x+15

Step-by-step explanation:

.The height of a cylinder whose radius is 7 cm and the curve surface area is 968 cm2 is:

Answers

Answer:

22cm

Step-by-step explanation:

Curve surface area = height x circumference.

In order to find circumference =2(pi)r

2(pi)(7)=14 pi = 44 (pretty much, rounded)

968/44=22

The height is 22cm

Hope this helped!

What is the product 70 × 10^4? a 70,000 b 700,000 c 280 d 704

Answers

The correct answer is B. 700,000

What's an equation that represents the number of teaspoons, t, contained in a cup, C?

Answers

Answer:

Step-by-step explanation:

t=C/ c

C=quantity in a cup

c=quantity in a teaspoon

Can someone please answer these two questions? Isn't the first one's answer option A? I don't understand the second one. Please show steps

Answers

Answer:

no 2 answer is A(8)

and no 3 answer is 5m-1

i have read this

4g + 7g2 - 9 is a (select)
(select)

Answers

Answer:

an equation.

Step-by-step explanation:

a statement of the equality of two mathematical expressions.

Answer: Quadratic trinomial

The largest exponent is 2, so the degree is 2. This makes the polynomial a quadratic.

It is also a trinomial as there are 3 terms. Each term is separated by a plus or a minus. It might help to think of 4g+7g^2-9 as 4g+7g^2+(-9).

The relation {(-1, 4), (2, 7), (3, 7)} is a function. TrueFalse

Answers

Answer:

True

Step-by-step explanation:

Every x has only one y-value

Answer:

True

Step-by-step explanation:

If you answer this question you will earn 98 points. What is 2 plus 2 plus 665 plus 567 plus 67577 minus 567 plus 567 times 2 divided by 2 times 2 divided by 2 times 4 plus 16

Answers

Answer:

2+2+665+567+67577-567+567×2÷2×2÷2×4+16.

=275,268.

Answer:

70530

Step-by-step explanation:

2+2+665+567+675+67577-567+567*2/2*2/2*4+16

Drag each tile to the correct box.
Place the steps of the respiration process in the correct order.
Air passes from the trachea to the
bronchi,
Oxygen enters tilblood cells.
Air enters the nostrils.
Air diffuses from the alveoli to the blood
cells.
Blood transports oxygen to other cells.

Answers

Answer:

Step-by-step explanation:1. Air enters the nostrils: The human nose has two openings, which are called as nostrils. The air from the surrounding atmosphere enters the human body firstly, through nostrils and than enters inside the nasal cavity.

2. Air passes from the trachea to the bronchi: The air through nasal cavity passes towards pharynx to larynx, then to trachea and the air enters into the lungs inside the branching network of small tubes called as bronchi.

3. Air diffuses from the alveoli to the blood cells: The brochial tubes are further, branched into small alveoli. At alveoli the exchange of oxygen and carbon dioxide containing blood takes place.

4.Oxygen enters the blood cells: The oxygen carrying blood passes from the alveoli into the capillaries, whereas carbon dioxide passes from the capillaries into the alveoli.

5. Blood transports oxygen to other cell: The blood flows from the lungs transports oxygen to all the cells of the body.

Answer:

1. Air enters the nostrils

2. Air passes from the trachea to the bronchi

3. Air diffuses from the alveoli to the blood cells

4.Oxygen enters the blood cells

5. Blood transports oxygen to other cell

Step-by-step explanation:

(GIVING BRANLIEST AND 100 POINTS) What is 4/2?

Answers

To simplify the fraction, we can divide.

4 / 2 = 2

Therefore, 4/2 is the same as 2.

Best of Luck!

Answer:

4/2 is equal to 2

Step-by-step explanation:

What is 4/2?

If you want to simplify 4/2, you will have to divide.

Let's divide.

[tex]\frac{4}{2}=2[/tex]

Hope this helps!

Zeke claims that the function to the left should have three shaded regions for its range because it is a three-piece piecewise function. Is Zeke correct? Yes or No

Answers

Answer:

No

Step-by-step explanation:

The input to a function which is the domain of the function is the x-variable or independent variable, while the output of a function which is the range of the function is the y-variable or dependent variable

In the given function, the outputs or the ranges of the function for the input of piece with x-values -3 ≤ x ≤ -8 completely overlaps the ranges for the piece with x-values 1 < x ≤ 3, therefore, both ranges can be represented by a single shaded region, giving a total of two shaded regions.

The function on the left of the graph should have two shaded regions for its range because the range of the two functions overlaps. Therefore, no the claim of Zeke is incorrect.

Given :

The graph shows the piece-wise function.

The following steps can be used to determine that the Zeke claims is correct or not:

Step 1 - The domain of the graph of the function present in the third and fourth quadrant is:      

[tex]-8\leq x \leq -3[/tex]

Step 2 - The domain of the graph of the function present in the second quadrant is:

[tex]-2< x < -1[/tex]

Step 3 - The domain of the graph of the function present in the first quadrant is:

[tex]1< x\leq 3[/tex]

The function on the left of the graph should have two shaded regions for its range because the range of the two functions overlaps. Therefore, no the claim of Zeke is incorrect.

For more information, refer to the link given below:

https://brainly.com/question/4700926

Help wanted! What is the sum of 88x+12x?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{100x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{88x + 12x}[/tex]

Collect like terms : Add 88 and 12

[tex] \dashrightarrow{ \sf{100x}}[/tex]

Hope I helped!

Best regards! :D

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\;100x \,}\;\; } $ } }\\[/tex]

Step-by-step explanation:

[tex]88x+12x[/tex]

To easily solve this, let's add 88 + 12.

[tex]88+12[/tex]

Now that we added, we got the answer to 88 + 12.

[tex]88+12=100[/tex]

Now to finish, we will add the x to 100.

[tex]100x[/tex]

Now we got our answer!

Hope this helps!

What is the image of (-1,1) after dilation of 2

Answers

Answer: (-2,2)  

Step-by-step explanation:

Multiply the  x and y coordinates by the scale factor to find the new point or the image.

-1 * 2 = -2

1 *2 = 2

(-2,2)

Carol got $500 for her birthday. She wants to buy some video games and a gaming system. An Xbox 1 costs $278. A new game costs $62. What is the most amount of games Carol can afford?

Answers

Answer:

She can buy 3 games.

Step-by-step explanation:

Giving the following information:

Carol got $500 for her birthday.

Xbox 1= $278

A new game costs $62

First, we need to structure the total cost formula:

Total cost= 278 + 62x

x= number of games

Now, we can isolate x:

500= 278 + 62x

222/62= x

3.58=x

She can buy 3 games.

Select the property that allows the left member of the equation to be changed to the right member.8 + 0 = 8a. commutative - additiondistributiveb. associative - multiplicationsymmetricc. commutative - multiplicationd. associative - additionidentity - addition

Answers

Answer:

The answer is you a ho3

Step-by-step explanation:

Evaluate ab for a = 11 and b = 4.

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

ab = 44

▹ Step-by-Step Explanation

a = 11

b = 4

a * b

11 * 4 = 44

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

44

Step-by-step explanation:

ab

Let a = 11 and b = 4

11*4

44

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