Explanation

The court is 78 feet (23.77 meters) long. Its width is 27 feet (8.23 meters) for singles matches and 36 feet (10.97 meters) for doubles matches.

The service line is 21 feet (6.40 meters) from the net.

Explanation

Number of boys present: 50% of 100 = 0.5 x 100 = 50 boys

Number of girls present: 40% of 900 = 0.4 x 900 = 360 girls

Total students present = Boys present + Girls present

= 50 + 360

= 410

Now, let's find the percentage of students present:

Total students = Boys + Girls = 100 + 900 = 1000

Percentage of students present = (Total students present / Total students) x 100

= (410 / 1000) x 100

= 41%

Explanation

Given: a/b = 3/5 ... (1)

When 2 is added to both numbers, the ratio becomes 2/3, so we can write:

(a+2)/(b+2) = 2/3 ... (2)

Cross-multiplying (2), we get:

3(a+2) = 2(b+2)

Expanding and simplifying, we get:

3a + 6 = 2b + 4

Subtracting 6 from both sides gives:

3a = 2b - 2

Now, substituting (1) in the above equation, we get:

3(3/5)b = 2b - 2

Multiplying both sides by 5, we get:

9b = 10b - 10

Subtracting 10b from both sides gives:

-b = -10

Dividing both sides by -1, we get:

b = 10

So, the correct answer is: 10

Explanation

Given ratio: 50 paisa:1 rupee:2 rupee = 2:5:8

Let's assume the number of coins of each denomination are:

50 paisa = 2x

1 rupee = 5x

2 rupee = 8x

Total amount = Rs. 352

The value of coins is:

50 paisa coins = 2x * 0.50 = Rs. x

1 rupee coins = 5x * 1.00 = Rs. 5x

2 rupee coins = 8x * 2.00 = Rs. 16x

Adding these values, we get:

x + 5x + 16x = 352

Combine like terms:

22x = 352

Divide by 22:

x = 16

Now, find the total number of coins:

50 paisa coins = 2x = 2(16) = 32

1 rupee coins = 5x = 5(16) = 80

2 rupee coins = 8x = 8(16) = 128

Total number of coins = 32 + 80 + 128 = 240

So, the correct answer is: 240

Explanation

Given data:

The seller sells 40% of his apples.
After selling, he still has 420 apples.
Concept/Formula:

The concept used to solve this problem is related to "percentage". The seller was left with 60% of his apples (100% - 40% = 60%) when he had 420 apples left.

Solution:

⇒ the 420 apples represent 60% of his original stock (since he sold 40%).

⇒ If 60% of the original stock equals 420 apples, then 1% can be calculated by dividing 420 by 60.

Hence, 1% = 420 ÷ 60 = 7 apples.

⇒ Now, to find the total original stock (100%), the amount per 1% is multiplied by 100.

Therefore, the original amount = 7 × 100 = 700 apples.

Therefore, originally, he had 700 apples.

Explanation

A hexagon is a polygon with 6 sides.

It has 6 angles, one at each vertex.

It also has 6 vertices.

Explanation

The formula for the sum of interior angles of a polygon with n sides is 180(n - 2).

It comes from dividing the polygon into (n - 2) triangles, each having 180° total.

Explanation

Total number of balls = 6 black + 8 white = 14 balls

Number of white balls = 8

Probability of drawing a white ball = Number of white balls / Total number of balls

= 8/14

= 4/7

So, the probability of drawing a white ball is 4/7.

Explanation

Days in which 40 cows eat 40 bags of husk = 40 days

Days in which 1 cow eat 40 bags of husk = 40 * 40 days

Days in which 1 cow eat 1 bag of husk = (40 * 40) / 40 bags

In a dairy form 40 cows eat 40 bags of husk in 40 days, In 40 days one cow will eat one bag of husk

Explanation

Men days

60 : 40

40 : x           

60/40= x/40,     40x= 60* 40

x= 40*60/40,      x= 60