Explanation

The original equation is: b - 15 = 32

Solving:

b = 32 + 15 = 47

Explanation

An arc is a part or portion of the circumference of a circle.

It represents a curved line between two points on the circle's boundary.

Explanation

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).

Explanation

Integers (like -2, 0, 3) can be written as a ratio (e.g., -2 = -2/1), so they are part of rational numbers.

Rational numbers include all numbers that can be expressed as p/q, where q ≠ 0.

Explanation

In the ratio a : b, a is called the antecedent (the first term), and b is called the consequent (the second term).

The antecedent represents the part of the ratio that comes before the colon.

Explanation

To find the greatest capacity of a measuring jar that can exactly measure 165, 175, and 200 liters, we need to find the greatest common divisor (GCD) or highest common factor (HCF) of these numbers.

Let's find the prime factors:

165 = 3 * 5 * 11

175 = 5 * 5 * 7

200 = 2 * 2 * 2 * 5 * 5

The common factor among these is 5.

The greatest capacity of the measuring jar is: 5 liters

Explanation

Explanation

To find the markup (interest), we can use the formula:

Interest = Principal * Rate * Time

Given:

Principal = Rs. 45,000

Rate = 10% per annum = 0.10

Time = 73 days / 365 days (convert to years)

Time in years = 73/365

Interest = 45000 * 0.10 * (73/365)

= 45000 * 0.10 * 0.2

= 900

Explanation

Explanation

Expanded form is writing a number as the sum of the place values of its digits.

For example, 345 would be written as 300 + 40 + 5 in expanded form.