Explanation

The property a × (b + c) = a × b + a × c distributes multiplication over addition.

This is called the Distributive Law of Multiplication over Addition.

Explanation

A rational number is any number that can be expressed as p/q, where p and q are integers, and q ≠ 0.

Decimals that terminate or repeat (e.g., 0.75 = 3/4 or 0.333... = 1/3) are rational numbers.

Explanation

Explanation

1 divided by 1000 equals 0.001.

It represents one-thousandth in decimal form.

Explanation

Given y ∝ 1/x², we can write:

y = k/x²

Step 1: Find k

When y = 4 and x = 3:

4 = k/3²

k = 4 × 9

k = 36

Step 2: Find x when y = 9

9 = 36/x²

x² = 36/9

x² = 4

x = 2

Explanation

Given:

α + β = 5 (sum of roots)

αβ = k (product of roots)

3α + 2β = 16

From α + β = 5, we get:

α = 5 - β

Substitute α in 3α + 2β = 16:

3(5 - β) + 2β = 16

15 - 3β + 2β = 16

-β = 1

β = -1

Now, α = 5 - β

α = 5 - (-1)

α = 6

k = αβ

k = 6 × (-1)

k = -6

Explanation

A perfect square is a number that is the square of an integer.

Among the options:

√625 = 25

√289 = 17

√441 = 21

√325 ≈ 18.03 → Not an integer

Explanation

According to BODMAS, Division (÷) and Multiplication (×) are done first — from left to right, followed by Addition (+) and Subtraction (-).

So, if division appears before multiplication in the expression, it is done first.

Explanation

To find how long Ahmad takes to solve 3 questions:

Step 1: Time per question

Time per question = 9.8/7 = 1.4 minutes

Step 2: Time for 3 questions

1.4 × 3 = 4.2 minutes

Explanation

To find the median, we need to arrange the data in order:

3, 6, 8, 9, 10, 12, 14, 14, 16

Since there are 9 numbers (an odd number), the median is the middle value, which is the 5th number:

The median is 10.