Explanation

Speed = Distance ÷ Time

= 30 m ÷ 5 s

= 6 m/s

Explanation

0.0075m is correct because 7.5mm equals 7.5 ÷ 1000 meters.

Millimeters (mm) are converted to meters (m) by dividing by 1000.

One meter = 1000 mm

Explanation

Work done by 12 men in 4 days = 1 (full work)

Work done by 1 man in 4 days = 1/12

Work done by 6 men in 4 days = 6/12 = 1/2 (i.e., half of the work)

Work done by 6 men in 2 days = (1/2) × (2/4) = 1/4

Remaining work = 1 - 1/4 = 3/4

15 women complete the full work in 4 days → 1 woman’s 1-day work = 1/(15 × 4) = 1/60

Work needed in 3 days → x women × 3 × (1/60) = 3/4

x = (3/4) × (60/3) = 15 women

Explanation

To find the ratio of 1.8 to 2:

Divide 1.8 by 2:

1.8 ÷ 2 = 0.9

Now, multiply by 10 to eliminate the decimal:

0.9 × 10 = 9

The ratio becomes:

9 : 10

Explanation

The given equation is:

5x - 10 = 35

Add 10 to both sides:

5x = 45

Divide by 5:

x = 9

Explanation

To solve for x:

x/2 + 1 = 15

Subtract 1 from both sides:

x/2 = 14

Multiply both sides by 2:

x = 28

Explanation

To find the Highest Common Factor (HCF) of 12, 18, and 30, we follow these steps:

Find the prime factors:

12 = 2 × 2 × 3

18 = 2 × 3 × 3

30 = 2 × 3 × 5

Identify common factors:

Common prime factors: 2 and 3

Multiply them: 2 × 3 = 6

Explanation

Given k = 15:

(k-2) = 15 - 2

= 13

Now, calculate 180/k:

180/k = 180/15

= 12

Multiply (k-2) by 12:

13 × 12 = 156

Explanation

To find the ratio between their ages, we need to convert their ages to a common unit (months):
Ashraf's age:
15 years × 12 months/year = 180 months

- 10 months = 190 months

Akmal's age:
17 years × 12 months/year = 204 months

- 5 months = 209 months

Now, find the ratio:
Ashraf's age : Akmal's age = 190 : 209
Simplify the ratio:
190 ÷ 19 = 10
209 ÷ 19 = 11
So, the ratio is:
10 : 11

Explanation

To evaluate the expression, follow the order of operations:

Multiply 3 and 3: 3 × 3 = 9

Divide 9 by 3: 9/3 = 3

Add 3 and 3: 3 + 3 = 6