Explanation

Equal sets must have exactly the same elements.

Same number but different elements means they are not equal → A ≠ B.

Explanation

Explanation

Volume of a prism = base area × height.

Substituting values: 260 × 13 = 3380 cm³.

Explanation

Rise over run denotes the slope of a line. The slope formula is:

Slope = (y2 - y1) / (x2 - x1)

This is often referred to as "rise over run" because the numerator (y2 - y1) represents the vertical change (rise) and the denominator (x2 - x1) represents the horizontal change (run).

The answer is y2 - y1/x2 - x1.

Explanation

Let's break it down:

Total amount = Rs. 2400

Nida's share = Rs. 600

Remaining amount = Rs. 2400 - Rs. 600 = Rs. 1800

Nadia and Amara share the remaining amount in the ratio 4:5.

Let's divide Rs. 1800 in the ratio 4:5:

Total parts = 4 + 5 = 9

Amara's share = (5/9) × Rs. 1800

= Rs. 1000

Explanation

Tom has 3 more marbles than Bob.

Bob has 10 marbles, so Tom has 10 + 3 = 13 marbles.

So the correct equation is:

∆ - 3 = 10 (Because if Tom has ∆ marbles, and we subtract 3, it equals Bob's 10 marbles.)

Explanation

Let's use the Pythagorean theorem to find the distance between the school and the market:

School (north) = 9m

Market (east) = 12m

Distance² = 9² + 12²

= 81 + 144

= 225

Distance = √225

= 15m

Explanation

To convert the decimal number 139 to binary:

139 ÷ 2 = 69 remainder 1

69 ÷ 2 = 34 remainder 1

34 ÷ 2 = 17 remainder 0

17 ÷ 2 = 8 remainder 1

8 ÷ 2 = 4 remainder 0

4 ÷ 2 = 2 remainder 0

2 ÷ 2 = 1 remainder 0

1 ÷ 2 = 0 remainder 1

Reading the remainders from bottom to top:

10001011

Explanation

To find the quotient, we need to divide the two fractions:

(64/63) ÷ (108/117)

= (64/63) × (117/108)

= (64 × 117) / (63 × 108)

= 7488 / 6804

= 208 / 189

Explanation

The equation 3(4x) = (4x)3 shows that the order of multiplication does not affect the result.

This is the Commutative Property of Multiplication, where a × b = b × a.