Explanation

Distance = 500 m = 0.5 km (since 1 km = 1000 m)

Time = 5 minutes = 5/60 = 1/12 hours (since 1 hour = 60 minutes)

Speed = Distance / Time = 0.5 km / (1/12) hours = 0.5 km × 12/1 = 6 km/h

So, the correct answer is: 6

Explanation

The total number of students in the school is 360 boys + 240 girls = 600 students.

The ratio of the number of boys to the total number of students is 360/600 = 3/5.

This can also be written as a fraction as 3:5 or as a decimal as 0.6.

Explanation

To simplify the expression, we need to follow the rules of fractions and combine like terms:

X + 1/7 - X - 1/8

First, subtract X from X, which cancels out:

1/7 - 1/8

To subtract fractions, we need a common denominator, which is 56. So we can rewrite the fractions as:

(8/56) - (7/56)

Now we can subtract: 1/56

So the simplified result is:

1/56

Explanation

The symbol used to denote the proportionality is '∝'.

For example, if we say, a is proportional to b, then it is represented as “a ∝ b”

Explanation

Number of tiles on one side of the room = 21 tiles.

Total tiles = B21×4= 84.

Since 4 tiles at each corner are shared by both rows, subtract these: 84−4= 80 tiles.

Explanation

Explanation

Explanation

Let the speed of the slower friend be $x$ km/h, then the speed of the faster friend is$x+2$ km/h.

After 1 hour, their total distance apart is the sum of their speeds:

$$x+(x+2)=10$$

Simplifying:

2x+2=10

$$2x=8\Rightarrow$$x=4km/h

So, the slower friend's speed is 4 km/h, and the faster friend's speed is $4 + 2 = 6$ km/h.

Explanation

Explanation