Explanation

Let's break it down by pattern:

- 0 → 5 (+5)  

- 5 → 15 (+10)  

- 15 → 20 (+5)  

- 20 → 30 (+10)  

- 30 → 35 (+5)

Pattern: Alternating +5 and +10

Next: 35 + 10 = 45

Explanation

To find 15% of 65,400:

15/100 × 65400 = 0.15 × 65400 = 9,810

Explanation

(1 + 2) × 2 = 3 × 2 = 6

Explanation

990 ÷ 10 × 5

Step 1: 990 ÷ 10 = 99  

Step 2: 99 × 5 = 495

Explanation

Given:  

(2000 ÷ 100) × 191

Step 1: 2000 ÷ 100 = 20  

Step 2: 20 × 191 = 3820

Explanation

Given:  

(3/10) × (5/2)

Step 1: Multiply numerators:  

3 × 5 = 15

Step 2: Multiply denominators:  

10 × 2 = 20

Result:  

15/20

Step 3: Simplify:  

15 ÷ 5 = 3  

20 ÷ 5 = 4

Explanation

40 × (11 × 6)

Step 1: Solve inside the brackets  

11 × 6 = 66

Step 2: Multiply by 40  

40 × 66 = 2640

Explanation

(1904 ÷ 4) × 20

Step 1: 1904 ÷ 4 = 476  

Step 2: 476 × 20 = 9520

Explanation

Given:  

x/5 - (3x/2) = 7 + x/2

Step 1: Eliminate fractions by finding a common denominator  

The LCM of 5 and 2 is 10. Multiply both sides of the equation by 10:

10 × (x/5 - 3x/2) = 10 × (7 + x/2)

(2x - 15x) = 70 + 5x  

-13x = 70 + 5x

Step 2: Move all terms to one side

-13x - 5x = 70  

-18x = 70

Step 3: Solve for x

x = 70 / -18 = -35/9

Explanation

When solving problems where A and B work together, you are essentially comparing their individual rates of work and how they combine to form a total rate.

This is a classic application of ratios and proportions.