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3 years ago

Y varies directly with x it has a constant rate of change of 6. When the value of y is 11, then the value of x could be?

Mathematics

1 answer:

makvit [3.9K]3 years ago

8 0

Answer: $\frac{11}{6}$

<u>Explanation:</u>

y varies directly with x means: $\frac{y}{x} = k$ ; where k is the rate

$\frac{y}{x} = k$
$\frac{11}{x} = 6$
$(x)\frac{11}{x} = 6(x)$
11 = 6x
$\frac{11}{6} =\frac{6x}{6}$
$\frac{11}{6} = x$

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3 years ago

Read 2 more answers

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

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2 years ago

Solve for e: E=〖mc〗^2 M = 3 C = 6

kompoz [17]

E = 3(6^2)

E = 3(36)

And your answer is E = 108 :)

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3 years ago

A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of

iris [78.8K]

Given:
8 tiles
radius from the center of the archway to the inner edge of the tile. 7 ft.
radius from the center of the archway to the outer edge of the tile. 8 ft = 7 ft + 1 ft.

Area of a semi circle = π r² / 2
A = (3.14 * (7ft)²) / 2 = (3.14 * 49ft²) / 2 = 153.86 ft² / 2 = 76.93 ft²
A = (3.14 * (8ft)²) / 2 = (3.14 * 64ft²) / 2 = 200.96 ft² / 2 = 100.48 ft²

100.48 ft² - 76.93 ft² = 23.55 ft²
23.55 ft² / 8 tiles = 2.94 ft² per tile.

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2 years ago