To find the quotient, divide 9528 by 48:
9528 ÷ 48 = 198.5
Since the quotient typically refers to the whole number part when dividing integers:
The whole number part of the quotient is 198.
Postulates are basic assumptions in geometry accepted without proof (e.g., a line can be drawn through two points).
They form the foundation for geometric reasoning and theorems.
Discount = 450 - 369 = 81
Discount % = (81 / 450) × 100 = 18%
To convert centimeters to millimeters, multiply by 10 (since 1 cm = 10 mm).
So, 42cm × 10 = 420 mm.
Let's denote the initial amount Junaid had as x.
Given:
3/8 of x = 78
(3/8) * x = 78
To find x, multiply both sides by 8/3:
x = 78 * (8/3)
x = 208
In a class interval (e.g., 10–20), the greatest value is called the upper class limit.
The lower class limit is the smallest value (e.g., 10), and the upper class limit is the largest value (e.g., 20).
The number of subsets of a set with n elements is 2^n.
Here, A = {a, b, c} has 3 elements, so:
Number of subsets = 2^3
= 8
The subsets are:
{}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}
The minimum length is the Least Common Multiple (LCM) of 45, 75, and 85 cm.
Calculating LCM(45, 75, 85) = 3825 cm.
Cardinality refers to the number of elements in a set.
Set A has 4 elements, so its cardinality is 4.
If the sum of all digits of a number is divisible by 3, then the number itself is divisible by 3.
This is a divisibility rule for 3.