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Firdavs [7]
3 years ago
7

A sum of money is divided between A,B and C in the ratio 9:8:7. If the total sum of money shared is 480. How much money does A r

eceive
Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

Given:

A sum of money is divided between A,B and C in the ratio 9:8:7.

Total sum is 480.

To find:

The part of money A get.

Solution:

Let A, B and C get 9x, 8x and 7x respectively.

Total sum is 480.

9x+8x+7x=480

24x=480

Divide both sides by 24.

x=\dfrac{480}{24}

x=20

Now,

A\ get =9x

A\ get =9(20)

A\ get =180

Therefore, amount received by A is 180.

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Answer: 277 ways

Step-by-step explanation:

Let’s start bycreating 10-unit pieces using the 4-unit piece.

The arrangements are:

1). 4-3-3 (3 permutations)

2). 4-3-2-1 = 4! = 24 permutations.

3). 4-3-1-1-1 (5*[4!/(3!1!)]

= 5*4

= 20permutations

4). 4-2-2-2 (4 permutations)

5). 4-2-2-1-1 (5 *[4!/(2!2!)]

= 5*6

= 30 permutations

6). 4-2-1-1-1-1(6*[5!/(4!1!)]

= 6*5

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Let’s-consider the arrangements using one or more3-unit pieces and no 4-unit piece:

7). 3-3-2-2 (4!/(2!2!)

8). 3-3-2-1-1 (5*(4!/(2!2!)

= 5*6

= 30 permutations.

9). 3-3-1-1-1-1 (6!/(4!2!) = 0

10). 3-2-2-2-1 (5*4!/(3!1!)

= 5*4

= 20permutations

11). 3-2-2-1-1-1 (6*5!/(3!2!)

= 6*10

= 60 permutations

Finally we would look at the arrangements using only 1-and 2-unit pieces:

12). 2-2-2-1-1-1-1 (7!/(4!3!)

= 35 permutations

add them all up:

(3 + 24 + 20 + 4) + (30 + 30 + 6 + 30) + (15 + 20 + 60 + 35)

=51 + 96 + 130

= 277ways

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3 years ago
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Answer:

Look for perpendicular lines or corresponding angles or alternate interior angles.

Step-by-step explanation:

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1 -  Remember that two lines perpendicular to the same segment are parallel.

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Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Cons
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Answer:

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The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

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