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frutty [35]
3 years ago
11

PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simpl

ified. -4(x+2)-2x+4
Mathematics
1 answer:
Julli [10]3 years ago
5 0

Given:

The given expression is

-4(x+2)-2x+4

To find:

The two other equivalent expressions.

Solution:

We have,

-4(x+2)-2x+4

Using distributive property, we get

=-4(x)-4(2)-2x+4

=-4x-8-2x+4

So, one equivalent expression is -4x-8-2x+4.

On further simplification, we get

=(-4x-2x)+(-8+4)

=6x-4

Therefore, the second and fully simplified equivalent expression is 6x-4.

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Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

Step-by-step explanation:

We can divide the amount of favourable cases by the total amount of cases.

The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8, 64 \choose 8 .

For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function  f : A \rightarrow A , with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.

Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.

We can conclude that the probability for 8 rooks not being able to capture themselves is

\frac{8!}{64 \choose 8} = \frac{8!}{\frac{64!}{8!56!}} = \frac{56!}{64!}

7 0
2 years ago
How would you represent a situation that has more than 1 solution? What does the solution represent about that situation? Explai
taurus [48]

Answer:

You don't

Step-by-step explanation:

For starters there is only one answer to every math question if you get an answer make sure it is correct

8 0
3 years ago
Read 2 more answers
The table shows a cricket club's income in 2016 from a fete, a quiz and membership fees.
kirill [66]

Answer: 5:2:10

Income from fete = £250

13 x 5 + 35 = 100

25 x 20 = 500

250:100:500

Then simplify ratio -

25:10:50

5:2:10

8 0
2 years ago
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans
goldfiish [28.3K]

Answer:

( 400-x)/3

Step-by-step explanation:

Total chocolate chips Savannah had = 400

Number of chocolate chips she saved for garnishing =x

Number of chocolate chips remain = 400-x

Number of brownie pans = 3

Chocolate chips were spread evenly in 3 pans,

Chocolate chips were in each pan of brownies =( 400-x)/3

5 0
3 years ago
Adrian cuts a block of wood as shown. What is the volume of the block of wood?
kozerog [31]

Answer:

432

Step-by-step explanation:

Volume of cuboid:

12 x 4.5 x 5.5 = 297

volume of traingular prism:

(12x5)/2 x 4.5 =135

add them together:

135+297 =432

hope this helps!

6 0
2 years ago
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