Explanation

3 kg 100 g + 1 kg 150 g

Grams: 100 g + 150 g = 250 g

Kilograms: 3 kg + 1 kg = 4 kg

Total = 4 kg 250 g

Explanation

34.95 + 240.016 = 274.966

Step 2:

274.966 + 23.98 = 298.946

Explanation

The total sum of all exterior angles of any triangle (or any simple polygon) is always 360°, regardless of its shape or size.

Each exterior angle of an equilateral triangle is 120°.

Explanation

P(A) is the power set of A = {1, 2}, which includes all subsets: ∅, {1}, {2}, {1, 2}.

So, {2} is one of the subsets, hence it is an element of P(A).

Explanation

Equal sets have exactly the same elements, regardless of order.

Since A = {a, b, c} and B = {b, c, a} contain the same elements, they are equal.

Explanation

To find the greatest number of students that can accommodate 135, 180, and 225 completely, we need to find the Highest Common Factor (HCF) of these numbers.

Step 1: Prime Factorization

135 = 3³ × 5

180 = 2² × 3² × 5

225 = 3² × 5²

Step 2: Identify Common Factors

Common factors = 3² × 5 = 9 × 5 = 45

Explanation

To convert 8 1/3 % to a fraction:

First, convert the mixed number to an improper fraction:

8 1/3 = (8 × 3 + 1) / 3

= 25/3

Now, convert the percentage to a fraction:

(25/3) % = (25/3) / 100

= 25 / (3 × 100)

= 25/300

Simplify the fraction:

25/300 = 1/12

Explanation

Given (2x, x + y) = (6, 2):

From the first component, 2x = 6, so x = 3.

From the second component, x + y = 2. Substituting x = 3:

3 + y = 2

y = -1

Explanation

Surface area of a cube = 6 × (side length)².

Here, 6 × (4)² = 6 × 16 = 96 m².

Explanation

"6 times a number" = 6x.

"Less than" means subtraction: 6x - 79 = x represents the statement.