33) You were in the car for 4.5 hours and averaged 70 miles per hour. How many miles did you travel?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Equation Solutions:**

1. **Equation 1:**

   - Equation: \( x \div 2 = -2.6 \)
   
   Steps:
   - Multiply both sides by 2:
     \[
     x = -2.6 \times 2 
     \]
   - Result:
     \[
     x = -5.2
     \]

2. **Equation 2:**

   - Equation: \( x \div \frac{1}{2} = \frac{3}{4} \)

   Steps:
   - Multiply both sides by \(\frac{1}{2}\):
     \[
     x = \frac{3}{4} \times \frac{1}{2}
     \]
   - Result:
     \[
     x = \frac{3}{8}
     \]

**Word Problem:**

33) You were in the car for 4.5 hours and averaged 70 miles per hour. How many miles did you travel?

**Solution:**

To find the total distance traveled, use the formula:
\[
\text{Distance} = \text{Time} \times \text{Speed}
\]

Given:
- Time = 4.5 hours
- Speed = 70 miles per hour

Calculation:
\[
\text{Distance} = 4.5 \times 70 = 315 \text{ miles}
\]

The total distance traveled is 315 miles.
Transcribed Image Text:**Equation Solutions:** 1. **Equation 1:** - Equation: \( x \div 2 = -2.6 \) Steps: - Multiply both sides by 2: \[ x = -2.6 \times 2 \] - Result: \[ x = -5.2 \] 2. **Equation 2:** - Equation: \( x \div \frac{1}{2} = \frac{3}{4} \) Steps: - Multiply both sides by \(\frac{1}{2}\): \[ x = \frac{3}{4} \times \frac{1}{2} \] - Result: \[ x = \frac{3}{8} \] **Word Problem:** 33) You were in the car for 4.5 hours and averaged 70 miles per hour. How many miles did you travel? **Solution:** To find the total distance traveled, use the formula: \[ \text{Distance} = \text{Time} \times \text{Speed} \] Given: - Time = 4.5 hours - Speed = 70 miles per hour Calculation: \[ \text{Distance} = 4.5 \times 70 = 315 \text{ miles} \] The total distance traveled is 315 miles.
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