Explanation

Given the proportion:

40 : 60 = 50 : a

Let's solve for 'a' using the proportion:

40/60 = 50/a

40a = 50 × 60

40a = 3000

a = 3000 / 40

a = 75

Explanation

Given the product:

(5i) × (-2i)

= -10i²

Since i² = -1:

= -10(-1)

= 10

Explanation

Explanation

To solve (+8) ÷ (-2):

(+8) ÷ (-2) = -4

When dividing a positive number by a negative number, the result is negative.

Explanation

2483 × 253 = 628199 is the exact product.

This is a simple multiplication of two whole numbers.

Explanation

The equation a(b + c) = ab + ac shows how multiplication distributes over addition.

This is called the distributive property in algebra.

Explanation

The square of a means multiplying a by itself, which is written as a².

It represents the value a × a.

Explanation

The sum of two whole numbers is always a whole number — this is called closure property of addition.

Whole numbers include 0 and all positive integers (0, 1, 2, 3, ...).

Explanation

"Very" modifies the adverb "fast," showing degree or intensity.

It is an adverb because it describes how fast he drives.

Explanation

"She" is a pronoun replacing a person’s name.

It acts as the subject of the sentence.