Explanation

A non-terminating, non-recurring decimal cannot be expressed as a fraction.

It is the key characteristic of an irrational number.

Explanation

Total weight of (36 + 44) Students,

= (36 × 40 + 44 × 35) kg

= 2980 kg

Therefore average weight of the whole class,

= 298080 kg.

Therefore average weight = 37.25 kg.

Explanation

Explanation

2 power 5, denoted by 2⁵, means 2 raised to the power of 5, or 2 multiplied by itself 5 times:

2⁵ = 2 × 2 × 2 × 2 × 2 = 32

Explanation

The sequence is formed by adding consecutive terms that are three times larger than the previous gap.

2 + 2 = 4 (gap of 2)

4 + 6 = 10 (gap of 6, which is 3 times 2)

10 + 18 = 28 (gap of 18, which is 3 times 6)

28 + 54 = 82 (gap of 54, which is 3 times 18)

Explanation

To find the positive square root of 2209, we can use a calculator or factor the number.

The positive square root of 2209 is:

√2209 = 47

Since 47 × 47 = 2209.

Explanation

(4 x 3 + 5 x 6) / (18 x 2 – 22)

= (12 + 30) / (36 - 22)

= 42 / 14

= 3

Explanation

√6 × √6 = √(6 × 6) (using the property of square roots)

= √36

= 6 (since 6^2 = 36)

Explanation

If the result is 15, and we subtract 9 from it, we get:

15 - 9 = 6

Since we divided the number by 4, we multiply 6 by 4 to get:

6 × 4 = 24

Explanation

The pattern in the given equations is:

4 = 4 × 2 = 8

5 = 5 × 3 = 15

6 = 6 × 4 = 24

Following this pattern, we get:

7 = 7 × 5 = 35

So, the correct answer is: 35