Explanation

Given the proportion:

6 : x :: 9 : 12

We can write it as:

6/x = 9/12

Cross-multiplying:

6 × 12 = 9 × x

72 = 9x

x = 72/9

x = 8

Explanation

The multiplication inverse (or reciprocal) of 3/5 is:

5/3

When you multiply a fraction by its reciprocal, the result is 1:

(3/5) × (5/3) = 1

The answer is 5/3.

Explanation

To solve (3/4)³:

(3/4)³ = (3/4) × (3/4) × (3/4)

= (3 × 3 × 3) / (4 × 4 × 4)

= 27 / 64

Explanation

√0.49 = √(49/100)

= √49 / √100

= 7/10

= 0.7

Explanation

Explanation

De Morgan's laws describe relationships between unions and intersections of sets.

They are also fundamental in logic and Boolean algebra.

Explanation

The given equation (a + b) + c = a + (b + c) is the standard form of the Associative Property of Addition.

It states that the grouping of numbers in an addition operation does not change the sum.

Explanation

Square of -6 means (-6) × (-6) = 36.

Negative × Negative = Positive.

Explanation

Given a and b are integers and b ≠ 0:

a/b represents a Rational number.

A rational number is a number that can be expressed as the ratio of two integers, where the denominator is non-zero.

Explanation

Whole numbers are non-negative integers: 0, 1, 2, 3…

0 is a whole number.