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7 A machinist must cut 12 strips of metal that are each 3 ft 3 in. long. What is the total length needed in inches? ...

7 A machinist must cut 12 strips of metal that are each 3 ft 3 in. long. What is the total length needed in inches? ...

Algebra and Trigonometry (6th Edition)
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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### Problem Statement: A machinist must cut 12 strips of metal that are each 3 ft 3 7/8 in. long. What is the total length needed in inches? ### Explanation: The problem involves calculating the total length of 12 strips of metal, each with a length given in feet and inches. ### Steps to Solve: 1. **Convert the Length of Each Strip to Inches:** - Firstly, convert the foot component to inches: 3 feet = 3 × 12 inches = 36 inches. - Then, add the remaining inches to this total: 36 + 3 7/8 (which is equivalent to converting the fraction part to decimal form: 7/8 = 0.875, so 3 7/8 = 3.875 inches) - So, the total length of each strip in inches = 36 + 3.875 = 39.875 inches. 2. **Calculate the Total Length for 12 Strips:** - Multiply the length of one strip by the total number of strips: 39.875 inches × 12 = 478.5 inches. ### Conclusion: The machinist needs a total length of 478.5 inches of metal to make 12 strips. ### Graphs or Diagrams: - This problem does not include any graphs or diagrams. The solution involves basic arithmetic and unit conversion. This explanation provides a clear, step-by-step solution for students or educators looking for a detailed understanding of the problem-solving process.
Transcribed Image Text:### Problem Statement: A machinist must cut 12 strips of metal that are each 3 ft 3 7/8 in. long. What is the total length needed in inches? ### Explanation: The problem involves calculating the total length of 12 strips of metal, each with a length given in feet and inches. ### Steps to Solve: 1. **Convert the Length of Each Strip to Inches:** - Firstly, convert the foot component to inches: 3 feet = 3 × 12 inches = 36 inches. - Then, add the remaining inches to this total: 36 + 3 7/8 (which is equivalent to converting the fraction part to decimal form: 7/8 = 0.875, so 3 7/8 = 3.875 inches) - So, the total length of each strip in inches = 36 + 3.875 = 39.875 inches. 2. **Calculate the Total Length for 12 Strips:** - Multiply the length of one strip by the total number of strips: 39.875 inches × 12 = 478.5 inches. ### Conclusion: The machinist needs a total length of 478.5 inches of metal to make 12 strips. ### Graphs or Diagrams: - This problem does not include any graphs or diagrams. The solution involves basic arithmetic and unit conversion. This explanation provides a clear, step-by-step solution for students or educators looking for a detailed understanding of the problem-solving process.
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