1. **Problem 35:** Carla used 6 \frac{1}{2} cups of sugar to make 5 pies. How many cups of sugar will she need to make 2 pies?
2. **Step 1:** Convert mixed number to improper fraction:
$$6 \frac{1}{2} = \frac{13}{2}$$
3. **Step 2:** Find sugar per pie by dividing total sugar by number of pies:
$$\frac{13}{2} \div 5 = \frac{13}{2} \times \frac{1}{5} = \frac{13}{10}$$
4. **Step 3:** Calculate sugar needed for 2 pies:
$$\frac{13}{10} \times 2 = \frac{26}{10} = \frac{13}{5}$$
5. **Step 4:** Convert improper fraction to mixed number:
$$\frac{13}{5} = 2 \frac{3}{5}$$
6. **Answer for 35:** 2 \frac{3}{5} cups (Option B)
7. **Problem 37:** Given angles on a straight line: left angle = 7x, middle shaded angle = 8x, right angle = 44.4°.
8. **Step 1:** Sum of angles on a straight line is 180°:
$$7x + 8x + 44.4 = 180$$
9. **Step 2:** Combine like terms:
$$15x + 44.4 = 180$$
10. **Step 3:** Subtract 44.4 from both sides:
$$15x = 180 - 44.4 = 135.6$$
11. **Step 4:** Solve for x:
$$x = \frac{135.6}{15}$$
$$x = 9.04$$
12. **Step 5:** Find shaded angle (8x):
$$8 \times 9.04 = 72.32^{\circ}$$
13. **Answer for 37:** The shaded angle measures approximately 72.32°
Sugar Pies Angle B00611
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