Final answer:
To express x yards, y feet, and z inches in terms of inches, one needs to convert the measurements to inches by using the equality that 1 yard is equivalent to 36 inches and 1 foot is equivalent to 12 inches. The correct expression is 36x + 12y + z.
Step-by-step explanation:
The question asks us to convert a combination of yards, feet, and inches into just inches. To do so, we need to know how many inches are in a yard and in a foot. One yard is equal to 36 inches (because 1 yard = 3 feet and 1 foot = 12 inches, so 3 feet × 12 inches/foot = 36 inches), and one foot is equal to 12 inches. Therefore, to convert x yards, y feet, and z inches into inches, we multiply the number of yards by 36, the number of feet by 12, and then add the number of inches.
The correct expression is: (a) 36x + 12y + z
Here's a step-by-step explanation:
- Multiply the number of yards by 36 to convert to inches: 36x inches.
- Multiply the number of feet by 12 to convert to inches: 12y inches.
- Add the number of inches z to the above totals.
- The sum of all three gives the total length in inches: 36x + 12y + z inches.