Tag: math & puzzles

To solve this question, the user needs to know algebraic manipulation and simplification. The user must use the given equation to find the value of w and then substitute it into the expression (2w)2.

First, let's solve for w using the given equation:

13 = 13w/(1-w)

Multiplying both sides by (1-w), we get:

13 - 13w = 13w

Adding 13w to both sides, we get:

13 = 26w

Dividing both sides by 26, we get:

w = 1/2

Now that we have the value of w, we can substitute it into the expression (2w)2:

(2w)2 = (2(1/2))2 = 12

Thus, the correct answer is:

The Answer is: D. 1

To solve this question, the user needs to know the concept of encoding and decoding using a specific pattern or rule.

Each letter in the word 'CODING' has been shifted one letter forward in the English alphabet. For example, 'C' becomes 'D', 'O' becomes 'P', and so on.

Using the same pattern, we can decode the word 'CURFEW' as follows:

• 'C' becomes 'D'
• 'U' becomes 'V'
• 'R' becomes 'S'
• 'F' becomes 'G'
• 'E' becomes 'F'
• 'W' becomes 'X'

Therefore, the encoded form of the word 'CURFEW' is 'DVSGFX'.

Thus, the correct answer is:

The Answer is: A. DVSGFX.

To solve this question, the user needs to know the coding pattern that is being used to encode the words. In this case, it seems that each letter in the word is being replaced by a unique digit. To find the code for the word 'MANGO', we need to first identify the digits that correspond to each letter in the word.

Looking at the given codes, we can see that the letters 'R', 'A', 'N', 'G', 'O', and 'M' are represented by the digits 1, 2, 3, 4, 5, and 6, respectively. Using this pattern, we can determine that the code for the word 'MANGO' is:

M A N G O 6 2 3 4 5

Therefore, the answer is:

The Answer is: D. 82347