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4 years ago

The surface area of this cube is 96 square meters. what is the value of y?

2 answers:

8 0

Cube side lengths are all the same. I'm guessing y is one of the sides. To get the surface area you do length X width X 6 (since there are 6 sides).firstly we need to divide 96 by 6. That is 16. Then we divide it by 2 because the length and width are the same. This is 8. The length of one side must be 8m.

ELEN [110]4 years ago

5 0

The formula for finding the surface area of a cube is A=6y^2 where y is the side length. we know a=96. so we just isolate y.
96/6= 6y^2 / 6
16=y^2
sqrt (16) = sqrt(y^2)
4=y

So y is 4

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Complete the expressions to find the perimeter PP of a rectangle that is 7 inches long by 5 inches wide.

neonofarm [45]

PP = 2L + 2W. Here, PP = 2(7 inches) + 2(5 inches) = 24 inches.

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3 years ago

maggie spent 4.50 on cheese and fruit at the farmers market. she bought 1/8 pound of apples, 1/4 pound of pears and 1.25 pounds

serious [3.7K]

The produced answer is 5.5

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3 years ago

Norio, Gayle, and Tonya are playing a card game. They have a stack of red cards, a stack of yellow cards, and a stack of green c

Montano1993 [528]

Answer:

Step-by-step explanation

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3 years ago

2. In how many ways can 3 different novels, 2 different mathematics books and 5 different chemistry books be arranged on a books

insens350 [35]

The number of ways of the books can be arranged are illustrations of permutations.

When the books are arranged in any order, the number of arrangements is 3628800
When the mathematics book must not be together, the number of arrangements is 2903040
When the novels must be together, and the chemistry books must be together, the number of arrangements is 17280
When the mathematics books must be together, and the novels must not be together, the number of arrangements is 302400

The given parameters are:

$\mathbf{Novels = 3}$

$\mathbf{Mathematics = 2}$

$\mathbf{Chemistry = 5}$

(a) The books in any order

First, we calculate the total number of books

$\mathbf{n = Novels + Mathematics + Chemistry}$

$\mathbf{n = 3 + 2 + 5}$

$\mathbf{n = 10}$

The number of arrangement is n!:

So, we have:

$\mathbf{n! = 10!}$

$\mathbf{n! = 3628800}$

(b) The mathematics book, not together

There are 2 mathematics books.

If the mathematics books, must be together

The number of arrangements is:

$\mathbf{Maths\ together = 2 \times 9!}$

Using the complement rule, we have:

$\mathbf{Maths\ not\ together = Total - Maths\ together}$

This gives

$\mathbf{Maths\ not\ together = 3628800 - 2 \times 9!}$

$\mathbf{Maths\ not\ together = 2903040}$

(c) The novels must be together and the chemistry books, together

We have:

$\mathbf{Novels = 3}$

$\mathbf{Chemistry = 5}$

First, arrange the novels in:

$\mathbf{Novels = 3!\ ways}$

Next, arrange the chemistry books in:

$\mathbf{Chemistry = 5!\ ways}$

Now, the 5 chemistry books will be taken as 1; the novels will also be taken as 1.

Literally, the number of books now is:

$\mathbf{n =Mathematics + 1 + 1}$

$\mathbf{n =2 + 1 + 1}$

$\mathbf{n =4}$

So, the number of arrangements is:

$\mathbf{Arrangements = n! \times 3! \times 5!}$

$\mathbf{Arrangements = 4! \times 3! \times 5!}$

$\mathbf{Arrangements = 17280}$

(d) The mathematics must be together and the chemistry books, not together

We have:

$\mathbf{Mathematics = 2}$

$\mathbf{Novels = 3}$

$\mathbf{Chemistry = 5}$

First, arrange the mathematics in:

$\mathbf{Mathematics = 2!}$

Literally, the number of chemistry and mathematics now is:

$\mathbf{n =Chemistry + 1}$

$\mathbf{n =5 + 1}$

$\mathbf{n =6}$

So, the number of arrangements of these books is:

$\mathbf{Arrangements = n! \times 2!}$

$\mathbf{Arrangements = 6! \times 2!}$

Now, there are 7 spaces between the chemistry and mathematics books.

For the 3 novels not to be together, the number of arrangement is:

$\mathbf{Arrangements = ^7P_3}$

So, the total arrangement is:

$\mathbf{Total = 6! \times 2!\times ^7P_3}$

$\mathbf{Total = 6! \times 2!\times 210}$

$\mathbf{Total = 302400}$

Read more about permutations at:

brainly.com/question/1216161

8 0

2 years ago

Value of x 9(2x-1)-9x - 18

bixtya [17]

Let's simplify step-by-step.9(2x−1)−9x−18

Distribute:=(9)(2x)+(9)(−1)+−9x+−18=18x+−9+−9x+−18

Combine Like Terms:=18x+−9+−9x+−18=(18x+−9x)+(−9+−18)=9x+−27

Answer:=9x−27

5 0

3 years ago

Read 2 more answers