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I see that you've uploaded an image with several math questions. I will extract the content and solve them one by one for you. Let me transcribe the problems first:

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### **Question 1:**
Solve for \( x \).

\[
7x - 10 = 2
\]

### **Question 2:**
Evaluate the following:
\[
\frac{3}{4} + \frac{5}{12}
\]

### **Question 3:**
At a carnival, there are 4 white tents and 7 blue tents. Suppose you randomly select a tent from the carnival. What is the probability that the tent is blue? Express your answer as a fraction in simplest form.

### **Question 4:**
Evaluate the following expression:
\[
7 + 8 \div 2^3
\]

### **Question 5:**
Mother bought 8 oranges. She gave \( \frac{1}{2} \) of them to Sarah and \( \frac{1}{4} \) of them to Peter. How many oranges does she have left?

---

Let’s go ahead and solve these questions.

---

### **Solution 1:**
Solve for \( x \) in the equation \( 7x - 10 = 2 \).

1. Add 10 to both sides:
   \[
   7x = 12
   \]

2. Divide both sides by 7:
   \[
   x = \frac{12}{7}
   \]

Thus, \( x = \frac{12}{7} \).

---

### **Solution 2:**
Evaluate \( \frac{3}{4} + \frac{5}{12} \).

To add fractions, find a common denominator. The least common denominator (LCD) of 4 and 12 is 12.

\[
\frac{3}{4} = \frac{9}{12}, \quad \frac{5}{12} = \frac{5}{12}
\]

Now, add the fractions:
\[
\frac{9}{12} + \frac{5}{12} = \frac{14}{12} = \frac{7}{6}
\]

Thus, \( \frac{3}{4} + \frac{5}{12} = \frac{7}{6} \).

---

### **Solution 3:**
Find the probability of selecting a blue tent.

There are 4 white tents and 7 blue tents, so the total number of tents is:
\[
4 + 7 = 11
\]

The probability of selecting a blue tent is the ratio of blue tents to the total number of tents:
\[
\text{Probability} = \frac{7}{11}
\]

Thus, the probability of selecting a blue tent is \( \frac{7}{11} \).

---

### **Solution 4:**
Evaluate \( 7 + 8 \div 2^3 \).

First, apply the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

1. Calculate the exponent:
   \[
   2^3 = 8
   \]

2. Perform the division:
   \[
   8 \div 8 = 1
   \]

3. Add the result to 7:
   \[
   7 + 1 = 8
   \]

Thus, \( 7 + 8 \div 2^3 = 8 \).

---

### **Solution 5:**
Determine how many oranges are left after Mother gives some away.

Mother bought 8 oranges. She gave half to Sarah:
\[
\frac{1}{2} \times 8 = 4 \text{ oranges to Sarah}
\]

She gave a quarter to Peter:
\[
\frac{1}{4} \times 8 = 2 \text{ oranges to Peter}
\]

The total number of oranges given away is:
\[
4 + 2 = 6
\]

So, the number of oranges left is:
\[
8 - 6 = 2
\]

Thus, Mother has 2 oranges left.

---

### Summary of Answers:
1. \( x = \frac{12}{7} \)
2. \( \frac{7}{6} \)
3. \( \frac{7}{11} \)
4. 8
5. 2 oranges left

---

Would you like further clarification or more details on any of these solutions?

Here are 5 related questions to expand your understanding:
1. How would the solution for \( 7x - 10 = 5 \) differ from Question 1?
2. What happens if you subtract fractions instead of adding, like \( \frac{3}{4} - \frac{5}{12} \)?
3. If there were 5 blue tents and 4 white tents, how would the probability change?
4. How would the expression in Question 4 change if it was \( 7 + 8 \div 2^4 \)?
5. What if Mother bought 10 oranges and gave \( \frac{1}{3} \) to Sarah and \( \frac{1}{5} \) to Peter?

**Tip:** When working with fractions, always check if you can simplify them before performing operations to make calculations easier.

Solve for x: 7x - 10 = 2, Add the fractions: 3/4 + 5/12, Probability question: 4 white tents and 7 blue tents, evaluate: 7 + 8 / 2^3, oranges: Mother bought 8, gave 1/2 to Sarah and 1/4 to Peter

Learn how to solve various math problems including solving for x in linear equations, adding fractions, calculating probabilities, and using the order of operations. Suitable for Grades 5-7, with step-by-step explanations for each problem.

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