Question
2 Numeric 50 points What point on the number line is \( \frac{3}{7} \) the way from point -4 to the point \( 17 ? \)
Ask by Moran Moran. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The point is 5.
Solution
To find the point that is \(\frac{3}{7}\) of the way from \(-4\) to \(17\) on the number line, follow these steps:
1. **Calculate the total distance between the two points:**
\[
17 - (-4) = 17 + 4 = 21
\]
2. **Determine the portion of the distance represented by \(\frac{3}{7}\):**
\[
\frac{3}{7} \times 21 = 9
\]
3. **Add this portion to the starting point (\(-4\)) to find the desired point:**
\[
-4 + 9 = 5
\]
**Therefore, the point is \(5\).**
Answer: \(5\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To find the point on the number line that is \( \frac{3}{7} \) of the way from -4 to 17, we first determine the total distance between -4 and 17. The distance is calculated as: \[ 17 - (-4) = 17 + 4 = 21 \] Next, we'll find \( \frac{3}{7} \) of this distance: \[ \frac{3}{7} \times 21 = 9 \] Now, we add this distance to the starting point, which is -4: \[ -4 + 9 = 5 \] Thus, the point on the number line that is \( \frac{3}{7} \) of the way from -4 to 17 is \( 5 \).
