11. $$ x-2 $$ for $$ x=8 $$ $$ \begin{array}{lll} ext { 14. } \frac{15}{x} ext { for } x=3 & ext { 12. } 2 b ext { for } b=9 & ext { 13. } 5.6 t ext { for } t=0.7 \ ext { Order of Operations } & ext { 16. } 4 x ext { for } x=\frac{3}{6}\end{array} $$ 17. Explain the order in which you should compute the operations in the expression below. Then evaluate the expression.

Question

11. $$ x-2 $$ for $$ x=8 $$ $$ \begin{array}{lll}	ext { 14. } \frac{15}{x} 	ext { for } x=3 & 	ext { 12. } 2 b 	ext { for } b=9 & 	ext { 13. } 5.6 t 	ext { for } t=0.7 \ 	ext { Order of Operations } & 	ext { 16. } 4 x 	ext { for } x=\frac{3}{6}\end{array} $$ 17. Explain the order in which you should compute the operations in the expression below. Then evaluate the expression.

UpStudy AI · Accepted Answer

Certainly! Let's work through each of the problems you've listed and then delve into the explanation for the order of operations as requested in Problem 17.

---

### **Problem 11:** Evaluate $$ x - 2 $$ for $$ x = 8 $$

**Solution:**
Substitute $$ x = 8 $$ into the expression:
$$
8 - 2 = 6
$$

**Answer:** $$ 6 $$

---

### **Problem 12:** Evaluate $$ 2b $$ for $$ b = 9 $$

**Solution:**
Substitute $$ b = 9 $$ into the expression:
$$
2 \times 9 = 18
$$

**Answer:** $$ 18 $$

---

### **Problem 13:** Evaluate $$ 5.6t $$ for $$ t = 0.7 $$

**Solution:**
Substitute $$ t = 0.7 $$ into the expression:
$$
5.6 \times 0.7 = 3.92
$$

**Answer:** $$ 3.92 $$

---

### **Problem 14:** Evaluate $$ \frac{15}{x} $$ for $$ x = 3 $$

**Solution:**
Substitute $$ x = 3 $$ into the expression:
$$
\frac{15}{3} = 5
$$

**Answer:** $$ 5 $$

---

### **Problem 16:** Evaluate $$ 4x $$ for $$ x = \frac{3}{6} $$

**Solution:**
First, simplify $$ x = \frac{3}{6} $$:
$$
\frac{3}{6} = \frac{1}{2}
$$
Now, substitute $$ x = \frac{1}{2} $$ into the expression:
$$
4 \times \frac{1}{2} = 2
$$

**Answer:** $$ 2 $$

---

### **Problem 17:** Explain the Order in Which You Should Compute the Operations in the Expression Below. Then Evaluate the Expression.

**Note:** It seems the specific expression you're referring to was not provided. However, I can explain the general **Order of Operations**, commonly remembered by the acronym **PEMDAS**, and provide an example for clarity.

#### **Order of Operations (PEMDAS):**
1. **P**arentheses: Calculate expressions inside parentheses or other grouping symbols first.
2. **E**xponents: Resolve exponents (powers and roots).
3. **M**ultiplication and **D**ivision: From left to right.
4. **A**ddition and **S**ubtraction: From left to right.

#### **Example Expression:**
$$
3 + 4 \times 2 \div (1 - 5)^2
$$

**Step-by-Step Evaluation:**

1. **Parentheses:**
   $$
   (1 - 5) = -4
   $$

2. **Exponents:**
   $$
   (-4)^2 = 16
   $$

3. **Multiplication and Division (from left to right):**
   $$
   4 \times 2 = 8
   $$
   $$
   8 \div 16 = 0.5
   $$

4. **Addition:**
   $$
   3 + 0.5 = 3.5
   $$

**Final Answer:** $$ 3.5 $$

---

**Summary of Order of Operations:**
1. **Parentheses/Grouping Symbols:** Always start with expressions inside parentheses or other grouping symbols.
2. **Exponents/Radicals:** Next, handle any exponents or roots.
3. **Multiplication and Division:** Perform these operations as they appear from left to right.
4. **Addition and Subtraction:** Finally, perform addition and subtraction from left to right.

**Key Points:**
- **PEMDAS** helps in remembering the sequence.
- **Multiplication and Division** are of equal priority; perform them in the order they appear from left to right.
- **Addition and Subtraction** are also of equal priority; perform them in the order they appear from left to right.

If you have a specific expression you'd like me to evaluate for Problem 17, please provide it, and I'll be happy to assist further!
**Order of Operations (PEMDAS):** 1. **Parentheses/Grouping Symbols** 2. **Exponents/Radicals** 3. **Multiplication and Division (from left to right)** 4. **Addition and Subtraction (from left to right)** **Example:** $$ 3 + 4 \times 2 \div (1 - 5)^2 = 3.5 $$ **Answer:** $$ 3.5 $$

for

Explain the order in which you should compute the operations in the expression below.
Then evaluate the expression.

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions

for Explain the order in which you should compute the operations in the expression below. Then evaluate the expression.