Subjects algebra

Unit Rate Battery 183Ee7

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1. **Problem 1: Which store sells batteries at a better unit rate?** We are given: - Walmart: 12-pack for 9.84 - Target: 16-pack for 12.96 2. **Formula for unit rate:** $$\text{Unit rate} = \frac{\text{Total price}}{\text{Number of batteries}}$$ 3. **Calculate Walmart's unit rate:** $$\frac{9.84}{12} = 0.82$$ 4. **Calculate Target's unit rate:** $$\frac{12.96}{16} = 0.81$$ 5. **Compare unit rates:** - Walmart: 0.82 per battery - Target: 0.81 per battery Since 0.81 < 0.82, Target sells the batteries at a better unit rate. --- 2. **Problem 2: Find the area of the part of the rectangle that is not shaded.** Given: - Rectangle length = 8 cm - Rectangle height = 7 cm - Shaded triangle base = 4 cm - Shaded triangle height = 5 cm 3. **Formulas:** - Area of rectangle: $$\text{Area} = \text{length} \times \text{width}$$ - Area of triangle: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 4. **Calculate area of rectangle:** $$8 \times 7 = 56$$ 5. **Calculate area of shaded triangle:** $$\frac{1}{2} \times 4 \times 5 = 10$$ 6. **Calculate area of unshaded part:** $$56 - 10 = 46$$ **Final answers:** - Better unit rate: Target - Area of unshaded part: 46 square centimeters
8 cm7 cm4 cm5 cmshaded triangle