Explanation

Let's find the new quantity:

Original quantity = 376

Ratio = 5:8

New quantity = (5/8) * 376

= 235

Explanation

Factors are numbers that divide 16 exactly with no remainder.

16 ÷ 1 = 16, ÷2 = 8, ÷4 = 4, ÷8 = 2, ÷16 = 1.

Explanation

Given: logₓ 0.09 = 2

Step 1: Convert to exponential form

x² = 0.09

Step 2: Solve for x

x = √0.09

x = √(9/100)

x = 3/10

x = 0.3.

Explanation

The number of subsets of a set with n elements is 2^n.

Here, X has 5 elements.

Number of subsets = 2^5

= 32

Explanation

Let's check each option:

1. 46656 = 36³

2. 2744 = 14³

3. 6125 = 18.29 (approx.), not a perfect cube of an integer

4. 13824 = 24³

The answer is 6125.

Explanation

To find the greatest number of kits they can make, we need to determine the greatest common divisor (GCD) of the quantities of each type of bandage: 30, 60, and 75.

The prime factorization of each number is:

30 = 2 × 3 × 5

60 = 2² × 3 × 5

75 = 3 × 5²

The common factors are 3 and 5, so the GCD is 3 × 5 = 15.

Thus, they can make 15 kits.

Explanation

10 is a multiple of itself because any number is a multiple of itself.

Explanation

If the sum of all digits of a number is divisible by 3, then the number itself is divisible by 3.

This is a divisibility rule for 3.

Explanation

√2304 = √(48²) = 48

Explanation

Smallest 5-digit number: 10000

Greatest 4-digit number: 9999

Result = 10000 - 9999= 1