https://file.aiquickdraw.com/mathbot/file/17272876339674etyb1e2.jpg

Let's break down the content from the image step by step:

### 1. Math Questions:
There are four math questions (Q1, Q2, Q3, Q4) along with multiple-choice answers:

#### **Q1:** 
\[
\frac{3}{6} - \frac{4}{6} = ?
\]
Simplifying:
\[
\frac{3}{6} = \frac{1}{2}, \quad \frac{4}{6} = \frac{2}{3}
\]
Now, subtract:
\[
\frac{1}{2} - \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}
\]
So, the correct answer is **A: -\frac{1}{6}**.

#### **Q2:**
\[
\frac{\sqrt{5}}{\sqrt{12}} = ?
\]
Simplify:
\[
\frac{\sqrt{5}}{\sqrt{12}} = \frac{\sqrt{5}}{2\sqrt{3}} = \frac{\sqrt{15}}{6}
\]
Thus, the correct answer is **C: \frac{\sqrt{15}}{6}**.

#### **Q3:**
\[
\frac{\sqrt{9}}{\sqrt{25}} = ?
\]
Simplify:
\[
\frac{\sqrt{9}}{\sqrt{25}} = \frac{3}{5}
\]
So, the correct answer is **B: \frac{3}{5}**.

#### **Q4:**
\[
\frac{-11}{21} - \frac{11}{21} = ?
\]
Simplify:
\[
\frac{-11}{21} - \frac{11}{21} = \frac{-22}{21}
\]
Thus, the correct answer is **A: \frac{-22}{21}**.

### 2. Answer Grid
The next section provides a grid of symbols (A, B, C, D) and equations to solve based on the math questions.

- **Q1 Answer is A**: Corresponds to the key symbol in column B.
- **Q2 Answer is C**: Corresponds to the brain symbol in column D.
- **Q3 Answer is B**: Corresponds to the lock symbol in column A.
- **Q4 Answer is A**: Corresponds to the key symbol in column C.

### 3. Symbol-Based Arithmetic:
We are also provided with some equations based on the symbols:
- Key + Hourglass + Brain = 6
- Brain + Lock + Hourglass = 4
- Lock + Hourglass + Key = 9
- Brain + Brain + Lock = 2

Let’s assign variables to these symbols:
- Key = K
- Hourglass = H
- Brain = B
- Lock = L

From the equations:
1. \( K + H + B = 6 \)
2. \( B + L + H = 4 \)
3. \( L + H + K = 9 \)
4. \( B + B + L = 2 \)

We can now solve the system of equations. I'll compute this.The solution for the symbols is as follows:

- Key (K) = \( \frac{14}{3} \)
- Hourglass (H) = \( \frac{5}{3} \)
- Brain (B) = \( -\frac{1}{3} \)
- Lock (L) = \( \frac{8}{3} \)

### 4. Code:
Based on the answer key, the code is determined by arranging the correct answers to the questions:

- Q3 corresponds to the lock (symbol A).
- Q2 corresponds to the brain (symbol D).
- Q1 corresponds to the key (symbol B).
- Q4 corresponds to the key (symbol C).

Thus, the code is: **A, D, B, C**.

---

Would you like more details or have any questions on this?

Here are five related questions:
1. Can we simplify radicals even further?
2. What are some strategies for solving fractional equations?
3. How do we solve systems of equations graphically?
4. What are the applications of these types of puzzles in real life?
5. How do we work with inequalities in equations?

**Tip:** When solving systems of equations, always check the consistency of solutions by substituting them back into the original equations.

Solve the four math questions and use the symbols to generate the final code.

Solve four math questions involving fractions and radicals to determine the corresponding symbols and find the final code. This problem covers essential arithmetic concepts and fraction simplification, perfect for students in Grades 6-9.

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