All categories

3 years ago

How many ways can a cook arrange 9 of her 12 spice jars on a spice rack?

2 answers:

5 0

It depends if the 12 spice jars are all different.

If they are:

_ _ _ _ _ _ _ _ _ (9 spaces)

12*11*10*9*8*7*6*5*4

12 possibilities for first one, 11 for second, etc...

Multiply out to get:
79833600

posledela3 years ago

4 0

How many jars can be in the first place?
12
In the second place?
11 (as one is already in the first place)
Third?
10
and so on.
For each put in the first place you can choose 11 in the second and 10 in the third and so on.
Thus the solution is
12*11*10*9*8*7*6*5*4
or a simpler way to write
12!/3!

You might be interested in

Anyone know the answer to this ??

gladu [14]

distribution (if we are talking about algebraic properties)

5 0

2 years ago

- What is the complete factorization of 4x2 – 24xy + 36y2 ?

Rzqust [24]

<u>Answer: </u>

The complete factorization of $4 x^{2}-24 x y+36 y^{2}$ are 4(x-3y)(x+3y)

<u>Solution:</u>

Given Data:

$4 x^{2}-24 x y+36 y^{2}$

Take common value in all the three term.so we take 4 as common term in the above expression

$4 x^{2}-24 x y+36 y^{2}=4\left(x^{2}-6 x y+9 y^{2}\right)$

Now factorize the expression $\left(x^{2}-6 x y+9 y^{2}\right)$

Find the two numbers, whose product should be 9 and sum should be -6.

-3,-3 are the numbers which satisfy the above condition.

When we add -3-3=Sum is 6

Product of -3 $\times$ -3= 9

-3 , -3 satisfies the condition.

So the expression will become as $x^{2}-6 x y+9 y^{2}$ = $x^{2}-3 x y-3 x y+9 y^{2}$

Take the common term

x(x-3y)+3y(x-3y)

(x-3y)(x+3y)

hence the complete factorization of $4 x^{2}-24 x y+36 y^{2}$ are 4(x-3y)(x+3y)

5 0

2 years ago

Graph two lines whose solution is (3,5).

Pavel [41]

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

8 0

2 years ago

How do you get the same base for the power

zhannawk [14.2K]

64 = 2 ^6
16 = 2^4 =

2^ 6*(2x+4) = 2^4 * 5x

6(2x+4) = 20x

10/3 x = 2x +4

4/3 x = 4

x = 3

you can also use logarithms like so

(2x+4)ln64 = 5x ln16

ln64/ln16 = 3/2

3/2 * 2x + 3/2 * 4 = 5x

3x + 6 = 5x

2x = 6

x = 3

7 0

2 years ago

Anna is baking cookies.The recipe ask for 3/4 cup of flour per batch.Anna wants to bake 4 batches of cookies.She made the model

balandron [24]

3/4x4=3 therefore she needs 3 cups of flour to make four batches of cookies : )

4 0

2 years ago