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To solve the problem of finding the spacing between the six holes along the steel bar, we'll proceed step by step:

1. **Length of the steel bar**: The total length is given as **29.75 inches**.

2. **Number of holes**: There are 6 holes, and they are **equally spaced center-to-center**.

3. **Symmetry**: The distance from the ends of the bar to the center of the first and last holes should be the same, as per the problem description.

### Let's break this down:
- Let \( S \) represent the spacing between the centers of adjacent holes.
- The bar is divided into **5 equal spacings** between the holes, plus two equal distances at the ends of the bar.

### Equation:
The total length of the bar is the sum of the 5 spacings between holes and twice the distance from the ends of the bar to the first and last hole (which equals the spacing \( S \)):

\[
\text{Total length} = S + 5S = 6S
\]

\[
29.75 = 6S
\]

### Solving for \( S \):
\[
S = \frac{29.75}{6} = 4.9583 \text{ inches}
\]

Thus, the spacing between the holes is approximately **4.96 inches**.

Would you like more details or have any questions on this?

### 5 Related Questions:
1. How would the spacing change if the number of holes increased to 8 while keeping the total length the same?
2. What would the spacing be if the bar length changed to 36 inches with 6 holes?
3. How would you calculate the distance from the center of the first hole to the edge of the bar?
4. If the holes had a diameter of 0.5 inches, how would that affect the spacing between their edges?
5. What if the holes weren't equally spaced but followed a pattern? How would that affect the calculation?

### Tip:
When working with symmetry in spacing problems, remember that the distance from the ends to the first and last elements often impacts the total layout, and you can often use this to simplify calculations.

If you have a steel bar with six holes that are equally spaced center to center and the distance from the ends of the plate to the center of holes have the same spacing, what would your spacing be?

Learn how to calculate the spacing of six equally spaced holes on a 29.75-inch steel bar, using simple algebraic principles. This problem focuses on symmetry and spacing calculations, suitable for students in Grades 6-9.

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