Explanation

Step 1: Find the perimeter of the square

$$\text{Perimeter}=4\times \text{side}=4\times 50=200\text{ meters}$$

Step 2: Calculate total fencing cost

$$\text{Cost}=200\times 8=\text{Rs. }1600$$

Explanation

To have infinite solutions, the two equations must be proportional, meaning:

(3x + 2y = 7)  

(6x + my = 14)

Compare coefficients:

- 6x / 3x = 2  

- 14 / 7 = 2  

→ So, m/2 must also be 2 → m = 4

Explanation

Percentage present = (Present / Total) × 100  

= (170 / 200) × 100  

= 85%

Explanation

Let the circumference of the circle = perimeter of the square = P  

- Circumference of circle = 2πr  

- Perimeter of square = 4a (a = side of square)  

So, 2πr = 4a ⇒ a = (πr)/2

- Area of circle = πr²  

- Area of square = a² = (πr/2)² = (π²r²)/4

Now compare:

πr² (circle) vs. (π²r²)/4 (square)  

Divide both sides:  

(πr²) / ((π²r²)/4) = 4/π > 1 ⇒ area of circle > area of square.

Explanation

x + 25% of x = 4,450,000

→ x(1 + 0.25) = 4,450,000

→ x × 1.25 = 4,450,000

→ x = 4,450,000 ÷ 1.25 = 3,560,000

Explanation

 Let present age = x

Given:

x + 15 = 4x − 15

→ 15 + 15 = 4x − x

→ 30 = 3x

→ x = 10

Explanation

These are two horizontal lines:

y = 2 and y = -5 are parallel and never intersect

Explanation

 Let’s find the lengths of all three sides using the distance formula:

A(0,4), B(0,0), C(3,0)

AB = √[(0−0)² + (4−0)²] = √[16] = 4

BC = √[(3−0)² + (0−0)²] = √[9] = 3

CA = √[(3−0)² + (0−4)²] = √[9 + 16] = √25 = 5

Perimeter = AB + BC + CA = 4 + 3 + 5 = 12

Explanation

6*3=18

9*5=45

18*7=126

45*9=405 

Explanation

Let's assume the retail price is 100.

The distant price is 20% less than the retail price:

Distant price = 100 - (20% of 100)

= 100 - 20

= 80

James purchased the book at a 30% discount on the distant price:

Discount = 30% of 80

= 0.3 × 80

= 24

Price James paid = 80 - 24

= 56

As a percentage of the retail price:

(56/100) × 100 = 56%