find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​

Answers

Answer 1

Answer:

The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways

Step-by-step explanation:

We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​.

There are 9 letters in the word WONDERFUL

There is a condition that letter R is always next to E.

So, We have two letters fixed WONDFUL (ER)

We will apply Permutations to find ways of arrangements.

The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways

The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways

The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways

So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E​ is 10,080 ways


Related Questions

7
An artist's online shop sold 220 prints in January. In February, this number increased by 15 percent. How many prints did the artist's online shop sell in
February?

Answers

Answer:

253

Step-by-step explanation:

220 x 1.15

What is the answer???

Answers

Answer:

3, 11, and 14

Step-by-step explanation:

One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference

one side of this triangle is 4 and the other is 7 so if we call the third side length x

7-3 < x < 7+3 ➡ 4 < x < 11

what is the answer to 32−2⋅3+5 i need it now please helppp

Answers

Answer: 31

Step-by-step explanation:

Order of Operations: PEMDAS

Multiplication comes first so you do −2⋅3 which equals -6

Then you can add 5 to -6,

or subtract -6 from 32.

95.
That’s the answer

PLEASE HELP! WILL MARK BRAINLIEST

Which value of b results in infinitely many solutions for the system?

Answers

The answer is the last option

Answer:

D. 3

Step-by-step explanation:

If you multiply the second equation, 3x+2y=1 by 3, it will be 9x+6y=3 which will cancel out the first equation giving you infinitely many solutions.

What’s the answer to this? Only if you know it though!!

Answers

Answer:

ASA congruence (A)

Step-by-step explanation:

These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.

HTH :)

What is the value of K?
answers needed immediately please and thank you.

Answers

Answer: k = 10

because ∠MYZ  is the outer angle of the triangle XYZ

=> ∠MYZ = ∠YZX + ∠YXZ

⇔ 115° = (4k + 5)° + (6k + 10)°

⇔ 115 = 10k + 15

⇔ 10k = 100

⇔ k = 10

Step-by-step explanation:

this one to thx for help​

Answers

What is the full question ?

Answer:

b

Step-by-step explanation:

What’s the answer to this pls! Thanks uuuu!!

Answers

The answer would be SAS because segment AB is congruent to segment DE and Angle ABC is congruent to angle DEF and then segment BC is congruent to segment EF

Choose the system of equations that matches the following graph: Picture of coordinate plane with line y equals negative 3 over 7 x plus 1 and line y equals 5 over 7 x plus 9. They intersect at negative 7, 4.

Answers

Answer:D

Step-by-step explanation:

Maria is putting up a shelf on a wall in her closet. The figure below shows triangle ABC, which
represents a bracket that will be used to support the shelf. What is the length of the wall? *

Answers

Anwer:

14 cm

Step-by-step explanation:

Let's apply the Phytagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]

Since we only have one side and the hypotenuse:

[tex]a^{2}+24^{2}=28^{2}\\a^{2}+576=784\\a^{2}=784-576\\a^{2}= 208\\[/tex]

[tex]a=\sqrt{208}\\a= 14.42\\a= 14 cm[/tex]

The length of the wall is approximately 14.4 units.

What is Pythagoras' theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Maria is putting up a shelf on a wall in her closet.

The figure below shows triangle ABC, which represents a bracket that will be used to support the shelf.

AC = 24, BC = 28 = hypotenuse, AB = wall

Using the Pythagorean theorem, we can solve for the length of AB (the wall):

AB² = BC² - AC²

AB² = 28² - 24²

AB² = 784 - 576

AB² = 208

AB = sqrt(208)

AB ≈ 14.4

Therefore, the length of the wall is approximately 14.4 units.

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PLEASE HELP MEEEE!

What is the slope?
M= 2/1

M= 1/2

M= -2/1

M= -1/2

Answers

The slope is 1/2. Every time the x increases by 2, the y increases by 1. Slope is the rise over the run, which would be 1/2

hi

slope  is  1/2

You have A (0;0) and B ( 2;1)  

slope  is  ( Yb-Ya )/(Xb-Xa) =   (1-0)/ ( 2-0) = 1/2

Ralph bought some oranges. The weight of the oranges was 2.5 kilograms. How many grams is this? 25,000 g 0.025 g 0.0025 g 2,500 g

Answers

Answer:

2,500

Step-by-step explanation:

The weight of the oranges was 2.5 kilograms, the number of grams is,  2500g. So Option D is correct.

What are Units ?

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorised.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

Ralph bought some oranges.

The weight of the oranges was 2.5 kilograms.

The number of grams = ?

It is known that,

1 kilogram = 1000 gram

so 2.5 kg will be equal to

⇒ 2.5 x 1000

⇒ 2500 g

Hence, the number of grams is 2500g

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Solve for b.
r = (b-5)m

Answers

Answer:

b=5m+r/m

Step-by-step explanation:

Let's solve for b.

r=(b−5)(m)

Step 1: Flip the equation.

bm−5m=r

Step 2: Add 5m to both sides.

bm−5m+5m=r+5m

bm=5m+r

Step 3: Divide both sides by m.

bm/m=5m+r/m

b=5m+r/m

Answer:

b=5m+r/m

Answer:

See Explanation

Step-by-step explanation:

[tex]r = (b - 5)m \\ \\ \frac{r}{m} = b - 5 \\ \\ \frac{r}{m} + 5 = b \\ \\ \frac{r + 5m}{m} = b \\ \\ \huge \red{ \boxed{b = \frac{r + 5m}{m} }}[/tex]

PLEASE HELPP!!
(look at the picture)

Answers

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

If lilian finds 1,000,000 balls on the beach and spends 95 hours finding the balls by herself if she has 3 friends helping her how long will they get done

Answers

Answer:

New time to find all balls = 23.75 hours

Step-by-step explanation:

Given:

Total time = 95 hour

Total people = 1 Lillian + 3 friends = 4

Find:

New time to find all balls

Computation:

New time to find all balls = 95 / 4

New time to find all balls = 23.75 hours

Find the slope of the line that passes through
(-4, 7) and (-6, -4)

Answers

Answer:

The slope of the line is 11/2

remember, rise over run.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

[tex]m=\frac{11}{2}[/tex]

Step-by-step explanation:

Write the slope-intercept form of the equation for the line.

y = 2x – 1
y = – 2x – 1
y = 1/2 x-1
y = 1/2 x+1

Answers

Answer:

y = 2x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points on the graph.

Point (1, 1)

Point (-1, -3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-3-1}{-1-1}[/tex]Subtract:                       [tex]m=\frac{-4}{-2}[/tex]Divide:                          [tex]m=2[/tex]

Step 3: Find y-intercept b

Given: (0, -1) as y-intercept

Step 4: Write linear equation

y = 2x - 1

The equation y = 2x - 1 is the correct representation of the line in slope-intercept form.

The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

Among the options provided, the equation y = 2x - 1 is already in the slope-intercept form. In this equation, the slope is 2, which means that for every unit increase in x, y increases by 2. The y-intercept is -1, indicating that the line intersects the y-axis at the point (0, -1).

The equations y = -2x - 1, y = 1/2x - 1, and y = 1/2x + 1 are not in slope-intercept form. In the equation y = -2x - 1, the slope is -2 and the y-intercept is -1. In the equation y = 1/2x - 1, the slope is 1/2 and the y-intercept is -1. Lastly, in the equation y = 1/2x + 1, the slope is 1/2 and the y-intercept is 1.

Therefore, the equation y = 2x - 1 is the correct representation of the line in slope-intercept form.

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The equation y = 2.50x determines the total cost, y, of buying x carnival tickets. Use the drop-down menu to complete the sentence. According to the equation, 15 carnival tickets would cost .

Answers

Answer:

$37.50

Step-by-step explanation:

In this problem, all we need to do is enter the given value into the equation. In this case, [tex]x[/tex] carnival tickets = 15. So,

[tex]y=2.50(15)[/tex]

[tex]y=37.50[/tex]

The total cost of 15 carnival tickets is $37.50.

Hope this helps!

Answer:

37.50

Step-by-step explanation:

please help me !!! please

Answers

Answer:

x= c/14

Step-by-step explanation:

add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.

Subtract (3x +5y-4)-(4x+11)

Answers

Answer:

-x + 5y + 7

-This should be the answer

The area of a rectangle with length l and width w is lw. Greg is getting a new hardwood floor in his rectangular dining room. The room is 14 feet long and 11 feet wide. What is the area of the dining room floor? Write your answer as a whole number or decimal.

Answers

Area = lw

Area = 14 x 11

Area = 154 square feet

The ratio of commercial time to television program time is 13 minutes to 47 minutes. How many minutes of commercial time in a two-hour television show?

Answers

Answer:

26 minutes

Step-by-step explanation:

13:47=1 hour

Multiply by 2

26:94= 2 hours

MS Geometry Review:Question 10
240° is complementary to which of the following angles?
Select one:
2140
240
2600
250

Answers

Answer: 50

Step-by-step explanation: Complementary angles are 2 angles that add to 90 degrees. Since 90-40=50, then its 50 degrees

i need help wiht math

Answers

Answer:

Is that all you need help with or you need help with more?

Step-by-step explanation:

2×+7+5×-4-× simplified

Answers

Answer:

Ummm

Step-by-step explanation:

This is confusing

Answer:

very confusing

Step-by-step explanation:

explainahh

i = 1/2mr^2 solve for m

Answers

Answer:

m=2i/r^2

Step-by-step explanation:

Given

i = 1/2mr^2

Solving for m

i = 1/2mr^2              ⇒ Multiply both sides by 22i=mr^2                  ⇒ Divide both sides by r^2m=2i/r^2

2x-8y=0 and -2x+4y=-8

Answers

I’m assuming you want to know the values of x and y. If so x=8 and y=2

rearrange x - y + 1 = 0

Answers

Answer:

y=x+1

or x=y-1

Step-by-step explanation:

Find the unit rate.

$4.80 for 6 cans

The unit rate is $ per can.

Answers

Answer:

The unit rate is $.80 per can.

Step-by-step explanation:

All you have to do is divide $4.80 by 6.

$4.80÷6=$.80

This means that each can cost 80 cents,

In other words the unit rate is $.80

Hope this helps!

7 in
9 in
5 in
what is the volume

Answers

Answer:

157.5

Step-by-step explanation:

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