Explanation

Let's find the cloth required per dress:

20 meters / 4 dresses = 5 meters/dress

For 15 dresses:

15 dresses × 5 meters/dress = 75 meters

Explanation

The number of elements in B × A is found by multiplying the number of elements in B and A:

|B| × |A| = 4 × 2 = 8

Each ordered pair has one element from B and one from A.

Explanation

We know that:

LCM × HCF = Product of the two numbers

Given:

LCM = 72

HCF = 3

First number = 18

Let's denote the second number as x.

Using the formula:

72 × 3 = 18 × x

216 = 18x

x = 216 / 18

x = 12

Explanation

Arthur Cayley, a British mathematician, introduced the modern concept of matrices in 1858.

He developed matrix algebra and its applications in linear transformations.

Explanation

1 square meter = 10.764 square feet (exact metric to imperial conversion).

This is used in construction, real estate, and area conversions internationally.

Explanation

If 4 mat-weavers can weave 4 mats in 4 days, then the total number of mats woven by 1 mat-weaver in 4 days is 1.

So, in 4 days, 8 mat-weavers would weave 8 mats, and each mat-weaver would weave 1 mat.

Thus, in the same 4 days, 8 mat-weavers would weave 16 mats.

Explanation

1 meter = 1.0936 yards (standard conversion value).

Explanation

³√27 = ³√(3 × 3 × 3)

= ³√(3³)

= 3

Explanation

Adding two negative numbers gives a more negative result:

-14 + (-10) = -24.

Explanation

Step 1: Convert 2.5 × 10^-1 to a fraction

2.5 × 10^-1 = 0.25 = 1/4.

Step 2: Calculate 1/2 + 1/4

To add these fractions, find a common denominator, which is 4. 1/2 = 2/4. So, 2/4 + 1/4 = 3/4.