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
evablogger [386]
3 years ago
9

in how many different ways can t e letters of the word "LEADING" be arranged in such a way that vowels always come together?

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0
The word 'LEADING' has 7 different letters.  When the vowels EAI are always together, they can be supposed to form one letter.  Then, we have to arrange the letters LNDG (EAI).  Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.  The vowels (EAI) can be arranged among themselves in 3! = 6 ways. <span> Required number of ways = (120 x 6) = 720.  The word 'LEADING' can be arranged 720 different ways in such a way that vowels always come together. </span>
soldi70 [24.7K]3 years ago
5 0
We have 3 vowels. The number of ways we can arrange them so they are next to each other is 3!=6. Now we have to find the number of ways we can arrange these 3 vowels with the remaining letters. As the vowels have to come together, we can treat them as one letter. Therefore we have 5 letter altogether. The number of ways we can arrange the vowels with the remaining letters is 5!=120. 

6*120=720

You might be interested in
Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.
slamgirl [31]

Step-by-step explanation:

Let the two-digit number is xy

<u>This can be written as:</u>

  • 10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

<u>The difference between the number and product of its digits is:</u>

  • d = 10x + y - xy

<u>Rewrite this as below:</u>

d = 10x - xy + y - 10 + 10 =

     x(10 - y) - (10 - y) + 10 =

     (x - 1)(10 - y) + 10

<u>We see that:</u>

  • 0 ≤ x - 1 ≤ 8 according to the condition given above
  • 1 ≤ 10 - y ≤ 10 again according to the condition given above

<u>The value of d is then:</u>

  • 0 + 10 ≤ d ≤ 8*10 + 10
  • 10 ≤ d ≤ 90
<h3>Proved</h3>
7 0
2 years ago
Read 2 more answers
PLEASE HELPPPPPPPPP!!!!?????
natta225 [31]

Answers:

  • Mean = 69
  • Median = 69
  • Mode = {68, 70}

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

Explanations:

To get the mean, you add up all of the values and then you divide by N, where N is the number of values in the list. In this case, you'll divide by N = 8.

Adding up all the values gets you 70+68+70+72+68+66+65+73 = 552. Dividing that over 8 then leads to the arithmetic mean of 552/8 = 69

-------

To find the median, you'll first sort the values from smallest to largest. You should have this set {65, 66, 68, 68, 70, 70, 72, 73} after sorting. Next, cross off the smallest and largest values to end up with this smaller set {66, 68, 68, 70, 70, 72}. We do this so we can locate the middle-most item.

Repeat the process of crossing off the smallest and largest items to get {68, 68, 70, 70}. Do so one more time and we get {68,70}.

The midpoint of those two values is (68+70)/2 = 138/2 = 69. The median is 69. The mean and median may not always be the same value.

--------

The mode is the most frequent value. In this case, we have 68 and 70 show up exactly twice for each unique value. This is the most compared to the other unique values that only show up exactly once.

It is possible to have more than one mode, as long those values are more frequent than the rest. We denote the mode as a set, so the mode is {68, 70}

8 0
2 years ago
What I the equation in standard form of the line that passes through the points(4,-8) and has a slope of 1/4
valentinak56 [21]

Answer:

Standard form of the line with point (4,-8) and slope of 1/4  is

-x + 4 y = -36.

Step-by-step explanation:

The slope of the line equation = 1/4

The point is given as (4,-8).

Now, by POINT SLOPE formula,

The line equation  with slope m  nad point (x0,y0) is given as:

(y - y0)  = m (x -x0)

So, the line equation here is given as

y -(-8)  =  \frac{1}{4} (x -4)\\\implies 4(y + 8)  = x - 4\\4 y + 32 = x - 4\\4y = x - 36

Now, the standard form of line equation is Ax + By  = C

Here,  4y = x - 36   ⇒  4y - x = -36

or, -x + 4y = -36 is the standard form.

Hence,standard form of the line with point (4,-8) and slope of 1/4

is -x + 4y = -36.

3 0
3 years ago
9. Find the mean of the data set: 2, 3, 4, 5, 5
Leni [432]

Answer: Step 1 box= 19 (2+3+4+5+5)

Step 2 box= 3.8 (19 divided by 5)

Step-by-step explanation:

You add together the numbers to get 19, the you divide the number by five because you added 5 numbers together.

You had it just right on the bottom. Your equation was perfect. It doesn't matter if you get a decimal number.

Your answers are right too, I double checked.

Hope I was helpful.

6 0
2 years ago
3. Which property justifies rewriting
Maksim231197 [3]
B distributive property
7 0
2 years ago
Other questions:
  • Rename the number 760 hundreds
    15·1 answer
  • In a packet of mixed candies there are two fruit centers for every three caramel centers. There are 30 candies in the packet.
    15·2 answers
  • Sweet tea has two orange picks for every green pig if six of the pics are green how many pics are orange
    8·1 answer
  • SAMPLE QUESTION 2
    6·1 answer
  • The lines represented by the equations y = 2x – 2 and 2y - 4x = 2 are
    13·1 answer
  • If you were told to graph a function over the domain -1\leq x\leq 5−1≤x≤5 , identify what x-value we would start with and what x
    15·1 answer
  • Angle 3 is 65 degrees. Identify all the other angles that measure 65 degrees.
    13·2 answers
  • Please help i’ll give brainliest!!! thanks
    6·2 answers
  • -
    12·1 answer
  • Please help this is due today
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!