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3 years ago

In how many different ways can the letters of the word mathematics be arranged?

2 answers:

4 0

Treat the vowels like they are 1 block, as if they are one letter. But in this vowel block there are 4 vowels, 2 of which are the same. The number of ways of arranging these 4 vowels is then 4!2!4!2!.

Now, treating this block aa one letter, we have 7 consonants and 1 block, so there are 8 'letters' to arrange with two M's and two T's. So we have to divide out by 2! for each. So we get: 8!2!2!8!2!2!.

Finally we multiply this by the number of ways the vowels can be arranged to get:

4!2!8!2!2!

qwelly [4]3 years ago

4 0

2 i believe would be the answer

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It's the 2nd question I know how it is done ....sum and product method but the root is confusing me can any one explain me plz

weeeeeb [17]

Hey,
2x^2 + 3root5x + 5
Here the product=10
And,sum=3root5
=>2x^2+2root5x+root5x+5
=>2x(x+root5)+ root5(x+root5)
=>(2x+root5)(x+root 5)

8 0

3 years ago

Alan is comparing the cost of a fresh lobster dinner at two different restaurants. The first

Pepsi [2]

Good evening ,

Answer:

The weight : 29 pound

Alan would pay for his dinner : $130

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 14

the cost of the dinner at restaurant 2 is 3x + 43

Now ,we have to solve the equation : 4x + 14 = 3x + 43

4x + 14 = 3x + 43

⇔ x = 43 - 14

⇔ x = 29

In this case Alan would pay the same amount for his dinner at any restaurant:

the price = 4×(29)+14 = 130

= 3×(29)+43 = 130.

4 0

3 years ago

To stock your school store, you buy a total of 25 sweatshirts and hats for $172.50. You pay $8.00 per sweatshirt and $2.50 per h

prohojiy [21]

Answer:

the answer is 20 and 5

Step-by-step explanation:

4 0

2 years ago

Simplify: (7ty) (31)

rosijanka [135]

The answer to this question is option D, the last option!

6 0

2 years ago

1 Select all relations that are functions from the choices below

Daniel [21]

Answer:

Option (D).

Step-by-step explanation:

If the graph of a relation has two output values for a single input value, relation will not be considered to be a function.

Option (A).

For the input values of x = -1, there are two output values, y = -1, 1.

Therefore, given relation is not a function.

Option (B).

Since, all the parabolas don't represent a function, given parabola in the graph is not a function.

Option (C).

Not a function. It's a relation.

Option (D).

Line plotted in the graph has a distinct output value for every input value.

Therefore, the given graph represents a linear function.

7 0

3 years ago