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Kamila [148]
3 years ago
11

1/2(8x-20)=1/4(12x+32)

Mathematics
1 answer:
Mila [183]3 years ago
6 0

Answer:

x=18

Step-by-step explanation:

4x-10=3x+8

4x-3x

x-10=8

8+10

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using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equ
natita [175]

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

y - 4.55x = 581

That is:

y(x) = 4.55x + 581

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

y(26) = 4.55(26) + 581 = 699.3

The projected population in 2026 is of 699.3 million.

5 0
3 years ago
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
3 years ago
Find the perimeter of ABC with vertices A (1,-6), B (1,-3),<br> and C (-4,-6).
Crazy boy [7]

Answer:

p = 8 +  \sqrt{34}  = 13.83095...

Step-by-step explanation:

we can easily calculate the perimeter of three points, using vectors. See the picture...

5 0
3 years ago
Two trains leave towns 1490 kilometers apart at the same time and travel toward each other. One train travels 20 km/h slower tha
Fynjy0 [20]

Answer:

  rate 1. 50 2. 56

Step-by-step explanation:

if you graph them all together.

5 0
3 years ago
A family buys a studio apartment for 120,000. They pay down payment of 18,000.
Schach [20]

Answer:

EZ

Step-by-step explanation:

A. 15 Percent

B. 40 Percent

4 0
2 years ago
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