Please give me a full solution: Chuck has 9 colored beans: 6 blue beans, one green, one red and one yellow. He wants to arrange these beans such that on each side of a non-blue bean there's a blue one. In how many ways can he do that ? Thanks in advance ..

Answers

Answer 1

Answer: 56ways

Step-by-step explanation:

given data:

total beans = 9

blue beans = 6

red beans = 1

yellow beans = 1

green beans = 1

solution:

This is a permutation problem because there is a condition attached to it which states that the beans most be arranged in a way that atleast each none blue has a blue bean on its side when shared.

= ( r + n - 1 ! ) / r ! ( n - 1 )!

= 3 + 6 - 1 / 3! ( 6-1 )!

= 8! / 3! x 5!

= 40320/ 720

= 56 ways


Related Questions

order each number greatest to least 1/2, -2, square root of 5, -7/4, 2.4
PLEASE HELP ME

Answers

Answer:

I think its

2.4, square root of 5, 1/2, -7/4, -2

hope this helps :D

If the 11th term of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?

Answers

Answer:

2

Step-by-step explanation:

Given that:

11th term of a geometric sequence is 32 times larger than the 6th term

The nth term of a geometric sequence is given by:

An = A*r^(n-1)

Where An = the nth term ; r = common ratio and n = term number ; A = first term

The 11th term:

A6 = A*r^(6 - 1) = Ar^5

A11 = 32A6 = 32Ar^5

A11 = Ar^(11 - 1) = Ar^10

Hence,

Ar^10 = 32Ar^5

r^(10 - 5) = 32

r^5 = 2^5

Hence, r = 2

Please find the answers

Answers

Answer: -4,-3,-2,-1,0,1,2,3

Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.

The integer 3 is 3 units from 0 on the number line. Which integer is also 3 units from 0 on the number line? Complete the sentence with the correct integer.

Answers

Answer:

-3

Step-by-step explanation:

The number line is the straight line where all the numbers are expressed and when we represent this line we usually use intervals of the same length to express the numbers. For example, the numbers 0, 1, 2, 3, 4 would have the same distance between them since there is one integer between each of them.

The number line also has negative numbers, so the integer to the left of the zero is -1, then we have -2, -3, etc.

In this example we are told that the integer 3 is 3 units from 0 on the number line, this number is 3 units from zero to the right (positive numbers). So, as we said before, if we move 3 units from 0 but to the left we would be 3 units from 0 but on the side of negative numbers and thus, the integer that is also 3 units from zero on the number line is -3.

Question 2 (1 point)
According to Hooke's Law, the force needed to stretch a spring varies directly to the amount the spring is stretched 150 pounds of force
stretches a spring five inches, how much will the spring be stretched by a force of 180 pounds?
inches
Blank 1:

Answers

Answer: 6 inches

===========================================

Explanation:

x = amount (in inches) the spring is stretched

y = force applied (in pounds)

y = kx for some constant k, since x and y vary directly

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

Plug in the given info that x = 5 and y = 150 pair up together

Solve for k

150 = k*5

150/5 = k

k = 30

The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.

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

Plug in y = 180 to solve for x

y = 30x

180 = 30x

30x = 180

x = 180/30

x = 6

The spring will be stretched 6 inches if you apply a force of 180 pounds.

How do I "undo" multiplication

Answers

A way of undoing any operation, is using the inverse of the operation. So if you want to ‘undo’ addition you subtract, and if you want to ‘undo’ multiplication you divide.

Hope this helps!!

ANSWER - BY DIVIDI.G BOTH THE SIDES OF THE EQUATION BY THAT FRACTION  BUT TO DIVIDE BY A FRACTION .WE FLIP THAT FRACTION AND MULTIPLY.

HOPE IT HELPS

What is 5.57575757... as a fraction ?

Answers

Answer:

[tex]\frac{5.57575757}{1}[/tex]

Step-by-step explanation:

Assuming you can't use a calculator:

5.575757... = 5 + 0.575757...

let 0.575757... = x

1) Substitute x for 0.575757...

5.575757... = 5 + x

2) Multiply both sides by 100

100(5.575757...) = 100(5+x)            

557.575757... = 500 + 100x    

3) Subtract 500 from both sides

57.575757... = 100x          

4) 57.575757... can be written as 57 + 0.575757...              

57 + 0.575757... = 100x

5) Substitute x for 0.575757...

57 + x = 100x

6) Subtract x from both sides

57 = 99x

7) divide both sides by 99

x = 57/99

8) plug in 57/99 for x in our original equation

5.575757... = 5 + (57/99)

9) simplify

5.575757... = ((5*99)/99) + (57/99)

5.575757... = (495/99) +(57/99)

5.575757... = (495+57)/99

5.575757... = 552/99

5.575757... as a fraction is 552/99

Any distinct quantity contained in a polynomial.
O Power
O Term
O Base
O Integer

Answers

Answer:

answer is B

Step-by-step explanation:

Determine which of the following are the solutions to the equation below.

Answers

Answer:

D

you want to use the quadratic formula so you send the 6 over with the x² so you substact 6 on both sides and and and invisible 0x having your equation x²+0x-6 and substitute that equation into the quadratic formula



Manny is watching the past three seasons of a The Big Bang Theory. He watched 8
episodes in 6 hours. At this rate, how many episode will he watch in 15 hours?
90
48
20
3.2

Answers

Answer:

20 episodes

Step-by-step explanation:

3x-2y = -1
у= 4х - 7

Answers

Answer:

x =3

y =5

Step-by-step explanation:

Solve by substitution

[tex]\begin{bmatrix}3x-2y=-1\\ y=4x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=4x-7\\\\\begin{bmatrix}3x-2\left(4x-7\right)=-1\end{bmatrix}\\\\\mathrm{Simplify}\\\begin{bmatrix}-5x+14=-1\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-5x+14=-1:\quad x=3\\\mathrm{For\:}y=4x-7\\\\\mathrm{Subsititute\:}x=3\\y=4\times\:3-7\\\\Simplify\\y=5\\x=3,\:y=5[/tex]

3x-2(4x-7)=-1
3x-8x+14=-1
-5x+14=-1
subtract 14 on both sides
-5x=-15
divide -5 on both sides
x=3

what is the value of m in −4(m−26)=−12m

Answers

Answer:

M = -13

Step-by-step explanation:

Divide both sides by -4−4.

m−26=3m

Subtract mm from both sides.

−26=3m−m

Simplify  3m - m  to  2m.

−26=2m

Divide both sides by 2

− 26/2=m

Simplify 26/2 to 13

-13=m

Switch sides.

m=13

Answer:

-13

Step-by-step explanation:

1. First distribute                      

2. Then get m on one side by adding 4m to both sides

3. Combine the numbers with the variable m

4. You need to get m by itself so divide both sides of the equation by -16

5. You should get m=-13

1.-4(m-26)=-4m+104  4m+4m+104=-12m

2. 104=-12m-4m

3. 104=-16m

4. 104/-13=-16/-16m

5. -13=m

solve the following equation show your work 9 + 12m = 6 + 15(m - 1)

Answers

9 + 12m = 6 + 15m -15
9 + 12m = 15m - 9
9 = 3m - 9
18 = 3m
m = 6
9 + 12m = 6 + 15(m-1)
9 + 12m = 6 + 15m +(-15)
12m + (-15m)= 6 + (-15) + (-9)
-3m = -18
-3m/-3= -18/-3
m = 6

9 + 12(6) = 6 + 15(6 -1)
9 + 72 = 6 + 75
81 = 81

Points A, P, and B are collinear on AB, and PB:AB = 2/7. A is located on the origin (0,0), P is located at (10, -5), and B is located at (x, y). Which axis is closer to B, the x-axis or the y-axis? Justify your answer.

I don't know how to show the work.

Answers

Answer:

The x-axis is closer to B.

Step-by-step explanation:

Since the ratio PB:AB = 2/7 is positive, the line divides internally. So, we use the equation for the coordinates of a point that internally divide a line.

So, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n)

where PB/AB = 2/7 = n/m. So, n = 2 and m = 7

Also, Point A = (0,0) = (x₁, y₁) and point P = (10, -5) = (x₂, y₂).

Substituting these values into x and y, we have

x = (mx₂ + nx₁)/(m + n)

x = (7(10) + 2(0)₁)/(7 + 2)

x = (70 + 0)/9

x = 70/9

x = 7⁷/₉

y = (my₂ + ny₁)/(m + n)

y = (7(-5) + 2(0)₁)/(7 + 2)

y = (-35 + 0)/9

y = -35/9

y = -3⁸/₉

So, the x and y coordinates of B are  7⁷/₉ and  -3⁸/₉ respectively. So, point B is -3⁸/₉ units away from the x-axis and 7⁷/₉ units away from the y-axis. So the x-axis is closer to B.

Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability?

Answers

Answer:

what is theoretical probability

If EF=2x-8, FG=4x-13 and EG= 27 find the. Value of x

Answers

Answer:

[tex]\Huge \boxed{x=8}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

E ———— F ———— G

EG = EF + FG

27 = (2x - 8) + (4x - 13)

Combining like terms.

27 = 6x - 21

Adding 21 to both sides.

48 = 6x

Dividing both sides by 6.

8 = x

[tex]\rule[225]{225}{2}[/tex]

The value of the variable x will be 1.

What is a line segment?

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

If EF = 2x - 8, FG = 4x - 13, and EG = 27.

Point F lies on the line segment EG. Then we have

EG = EF + FG

27 = 2x - 8 + 4x - 13

27 = 6x - 21

6 = 6x

x = 1

Then the value of the variable x will be 1.

More about the line segment link is given below.

https://brainly.com/question/25727583

#SPJ2

17) Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each sack? ​

Answers

Answer:

240

Step-by-step explanation:

you have to divide 1,920 by 8

What is the area of the composite figure?
4 in
O (877 + 6) in.2
(817 + 12) in 2
(877 + 18) in 2
(81T + 24) in 2
3 in

Answers

Answer:

8π + 12 in²

Step-by-step explanation:

Just add the areas of the semicircle and the triangle.

Find the quotient: –1019÷(−57). a: 7095 B: 1419 c : 1419 d : 7095

Answers

Answer:

[tex]Quotient = 17[/tex]

Step-by-step explanation:

Given

[tex]\frac{-1019}{-57}[/tex]

Required

Determine the quotient

[tex]\frac{-1019}{-57}[/tex]

Start by dividing the numerator and denominator by -1

[tex]\frac{1019}{57}[/tex]

The quotient is the integer division of two numbers;

[tex]\frac{1019}{57} = 17.8771929825[/tex]

Since, we only need the integer part;

[tex]Quotient = 17[/tex]

None of the given options answer the question

The integer
is neither positive nor negative.

Answers

Answer:

false

Step-by-step explanation:

an integer is any number greater or less than 0

q2-b2Evaluate if a=4 and b =-2​

Answers

Answer:

12

Step-by-step explanation:

Plug the given values into the equation to solve.

a² - b²

(4)² - (-2)²

16 - 4

12

Help me pleaseeee asap, thanks!

Answers

Answer:

see below

Step-by-step explanation:

[tex] \sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{-1 \times 12^2} [/tex]

[tex] ~~~~~~~~ = 8 + i \times \sqrt{12^2} [/tex]

[tex] ~~~~~~~~ = 8 + 12i [/tex]

9.51 as a mixed number in a simplest form

Answers

Answer:

Below

Step-by-step explanation:

9 [tex]\frac{51}{100}[/tex]

Answer: 9 51/100

Step-by-step explanation:

STEP 1. Convert it into improper fraction

9.51=951/100

STEP 2. Convert improper fraction into mixed fraction

951 ÷ 100=9 R 51

9 51/100

Hope this helps!! :)

Please let me know if you have any question

A chess club with 60 members is electing a new president. Karen received 39 votes. what percentage of the club members voted for Karen?

Answers

Answer:

65% voted for Karen

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

Can someone please please help me I don’t understand

Answers

Answer: Pretty sure the answer is C

Step-by-step explanation:

When you are translating a function what does +d mean and -d mean

Answers

Answer:

ONe is postive and the other is negetive

Step-by-step explanation:

At McDonald’s, a cheeseburger has 1/10 pound of meat. A
quarter-pounder has 1/4 pound of meat.
a. How much more meat is used for the quarter-pounder?

Answers

Answer:

3/20 of more meat is used for a quarter pounder

- Mary earns an hourly wilge of $13 plus a $90
bonus. If Mary's total paycheck shows she
received $597, how many hours did she work?

Answers

Answer:

39 hours

Step-by-step explanation:

Mary earns an hourly wage of $13

plus a $90 bonus.

Her total paycheck shows she received $597

Subtracting the bonus we get;

$597 - $90 = $507

1 hour -> she gets $13

how many hours will she get $507

Cross multiplying gives;

[tex]\frac{507}{13} * 1 = 39[/tex] hours

Answer:

           Mary worked 39 hours

Step-by-step explanation:

$597 - $90 = $507     - payment for hours only

507÷13 = 39

Part of the population of 4,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 12 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.

Answers

Answer:

876

Step-by-step explanation:

7689686896

if h(x)=5+c and k(h)=1/x, which expression is equivalent to (k•h)(x) a. (5+x)/x b.1/(5+x) c. 5+(1/x) d. 5+(5+x)

Answers

Answer:

A

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle h(x)=5+x \text{ and } k(x) = \frac{1}{x}[/tex]

And we want to find:

[tex](k\cdot h)(x)[/tex]

Recall that this is equivalent to:

[tex]\displaystye (k\cdot h)(x) = k(x) \cdot h(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} (k\cdot h)(x) & = \left(\frac{1}{x}\right)(5+x) \\ \\ & = \frac{5+x}{x} \end{aligned}[/tex]

In conclusion, our answer is A.

Answer:

A.  (5 + x) / x

Step-by-step explanation:

h(x) = 5 + x

k(h) = 1 / x

express the above to (k*h)(x)

(k*h)(x) = (1 / x) * (5 + x)

= 1/x (5+x)

= 1 * (5 + x)

         x

= 1 (5 + x) = 5 + x

= 5 + x

      x

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