Explanation

First, find the daily meat consumption per lion:

500 kg / 20 lions / 7 days = 3.57 kg/lion/day

Now, calculate the total daily meat consumption for 14 lions:

3.57 kg/lion/day × 14 lions = 50 kg/day

Finally, determine how many days 200 kg of meat will last:

200 kg / 50 kg/day = 4 days

Explanation

Initial temperature = -13°C

Final temperature = 32°C

Total temperature rise = 32 - (-13)

= 32 + 13

= 45°C

Time elapsed = 9 hours (from 3:00 AM to noon)

Average hourly increase = Total temperature rise / Time elapsed

= 45°C / 9 hours

= 5°C/hour

Explanation

(7^a) (7^b) = (7^c) (7^d)

Using the property of exponents, we get:

7^(a+b) = 7^(c+d)

Equating the exponents, we get:

a + b = c + d

Rearranging the terms, we get:

d = a + b - c

Explanation

Given:

x - 4 = 11

Add 4 to both sides:

x = 15

Now, find x - 8:

x - 8 = 15 - 8

= 7

Explanation

8 years ago, Hyder's age was x - 8.

7 years from now, Hyder's age will be x + 7.

According to the problem:

x + 7 = 2(x - 8)

Simplify the equation:

x + 7 = 2x - 16

Add 16 to both sides:

x + 23 = 2x

Subtract x from both sides:

23 = x

Explanation

Given:

x + y = 6

y + z = 7

z + x = 9

Add the three equations:

2(x + y + z) = 22

Divide by 2:

x + y + z = 11

The average of x, y, and z is:

(x + y + z)/3 = 11/3

Explanation

Given:

x² - y² = 28

x - y = 8

Factor the first equation:

(x - y)(x + y) = 28

Substitute x - y = 8:

8(x + y) = 28

Divide by 8:

x + y = 28/8

x + y = 3.5

The average of x and y is:

(x + y)/2 = 3.5/2 = 1.75

Explanation

Given:

3/4 of the police employees are not graduates.

This means:

1/4 of the police employees are graduates.

To find the ratio of graduates to non-graduate employees:

Graduates : Non-graduates = 1/4 : 3/4

Simplify the ratio:

Graduates : Non-graduates = 1 : 3

Explanation

To compare the fractions, convert them to equivalent decimals:

2/3 ≈ 0.67

5/8 ≈ 0.63

13/20 ≈ 0.65

Now, arrange the decimals in ascending order:

0.63, 0.65, 0.67

The corresponding fractions in ascending order are:

5/8, 13/20, 2/3

Explanation

Asian's weight increased by 25% from 2005 to 2009.

This means his weight in 2009 is 125% of his weight in 2005:

Weight in 2009 = 1.25 × Weight in 2005

Given his weight in 2009 is k kilograms:

k = 1.25 × Weight in 2005

To find his weight in 2005:

Weight in 2005 = k / 1.25 = 0.8k

Since the question asks for his weight in 2004, and we don't have any information about changes in 2004:

Weight in 2004 is assumed to be the same as Weight in 2005.