To convert kilometers per hour (km/h) to meters per second (m/s), multiply by 1000/3600:
72 km/h = 72 × (1000/3600)
= 72 × 5/18
= 20 m/s
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
64: 1, 2, 4, 8, 16, 32, 64
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The highest common factor (HCF) among these numbers is: 8
Solve the equation: 2x + 3 = 9 → 2x = 6 → x = 3.
The value of x = 3 satisfies the equation.
To compare the fractions 1/2, 2/3, and 7/8:
Step 1: Find a common denominator
The least common denominator for 2, 3, and 8 is 24.
Step 2: Convert fractions to have the common denominator
1/2 = 12/24
2/3 = 16/24
7/8 = 21/24
Step 3: Compare the fractions
Since 21 > 16 > 12, the order is 7/8 > 2/3 > 1/2.
Let's denote the number as x. According to the problem:
45 = 0.72x
To find x, divide both sides by 0.72:
x = 45 / 0.72
x = 62.5
To find the LCM (Least Common Multiple) of 10, 16, and 25:
Prime factorization:
10 = 2 × 5
16 = 2⁴
25 = 5²
Now take the highest power of each prime:
2⁴ (from 16)
5² (from 25)
LCM = 2⁴ × 5² = 16 × 25 = 400
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
The size of a class interval is calculated as:
Class Size = Upper Boundary - Lower Boundary
For (1 - 4): 4 - 1 = 3
The number of elements in B × A is found by multiplying the number of elements in B and A:
|B| × |A| = 4 × 2 = 8
Each ordered pair has one element from B and one from A.
