Subjects percent, algebra

Percent Problems 8B3Fb6

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1. **Problem:** Determine if the shading and calculations for the given percent problems and line segment lengths are correct. 2. For problem 12, shading 14% on a 10x10 grid means shading 14 squares out of 100. Since each square is 1%, shading 14 squares vertically is correct. 3. For problem 13, each box equals 20%. Shading one box represents 20%, so shading one box is correct for 20%. 4. For problem 14, if AB = 3 inches represents 50%, then 100% corresponds to twice that length: $$\text{Length} = 3 \times \frac{100}{50} = 3 \times 2 = 6 \text{ inches}$$ 5. For problem 15, if AB = 3 inches represents 300%, then 100% corresponds to: $$\text{Length} = 3 \times \frac{100}{300} = 3 \times \frac{1}{3} = 1 \text{ inch}$$ 6. For problem 16, 45 out of 50 coins are quarters. To find the percent: $$\frac{45}{50} = \frac{9}{10} = 0.9 = 90\%$$ 7. For problem 17, 19 out of 50 runners finished in fewer than 30 minutes. To find the percent: $$\frac{19}{50} = 0.38 = 38\%$$ 8. For problem 18, 63 out of 100 free throws made means: $$\frac{63}{100} = 0.63 = 63\%$$ 9. For problem 19, sun was shining 4 out of 5 days, so not shining days are: $$1 - \frac{4}{5} = \frac{1}{5} = 0.2 = 20\%$$ **Summary:** The shading and calculations appear correct based on the given information.