Explanation

Let's analyze the sequence:

• Term 1: 1
• Term 2: 5

From the third term onwards, each term is the average of all preceding terms. So:

• Term 3: (1+5)/2 = 3
• Term 4: (1+5+3)/3 = 3
• Term 5: (1+5+3+3)/4 = 3

Explanation

Perimeter = πr + 2r

where:

π is a mathematical constant approximately equal to 3.14159

r is the radius of the semicircle

In this problem, we know the total perimeter is 20.6 cm. So we can set up the equation:

20.6 = πr + 2r

To solve for r, we can factor out r on the right side:

20.6 = r(π + 2)

Then, we can divide both sides by π + 2 to isolate r:

r = 20.6 / (π + 2)

Using a calculator to evaluate this expression, we get:

r ≈ 4.0 cm

Therefore, the approximate radius of the semicircle is 4 cm.

Explanation

Explanation

Explanation

Let's break down the given information:

• Total people: 200
• People who like tennis: 90
• People who like cricket: 108
• People who like both: 46

To find the people who like neither, we can use the following formula:

Total people = People who like tennis only + People who like cricket only + People who like both + People who like neither

Let's find the people who like only tennis and only cricket:

• People who like only tennis = Total tennis players - People who like both = 90 - 46 = 44
• People who like only cricket = Total cricket players - People who like both = 108 - 46 = 62

Now, we can plug these values into the formula: 200 = 44 + 62 + 46 + People who like neither

People who like neither = 200 - 44 - 62 - 46 = 48

Therefore, 48 people like neither tennis nor cricket.

So, the answer is 48.

Explanation

The day starts on Monday, and then there will be 5 Mondays in one month... E.g. Monday+6 days = 7 days Monday + 6 days= 7 days Monday + 6 days = 7 days Monday + 6 days = 7 days These are 28 days.. The next day will be Monday and Tuesday.. Then the total days will be 30 days.. According to this Mondays are 5 so the total is 5*450= 2250 Other days are 120*25= 3000 Total 2250+3000=5250 5250/30 = 175

Explanation

Explanation

Explanation

Explanation

We're given:

1. A + B + C = 112
2. B = A - 12
3. C = 2B

We can substitute B in the first equation using the second equation:

A + (A - 12) + C = 112 2A + C - 12 = 112 2A + C = 124

Now, we can substitute C using the third equation:

2A + 2B = 124

We know B = A - 12,

so: 2A + 2(A - 12) = 124 2A + 2A - 24 = 124 4A = 148 A = 37

Now we can find B and C: B = A - 12 = 37 - 12 = 25 C = 2B = 2 * 25 = 50

Therefore, C gets $50.