If rwo-thord of a number is 60 , what is one-xixth of that same number? 4. 78 A. बa C. 48 1. 30 E. 15 Thetre.F of two mumbers is 3 . Which of the followiag pairs represcents the foo numbers in the oprotas below? A. 12 and 17 B. 10 and 20 C 9 and 15 n 8 and 12 E 4 and 6 35: ef watlutor is less than one of the following by $$ \mathrm{N} \$ 0.00 $$. A. P 195.00 B. N205.00 C. anens.00 D. N230.00 E. स240.00 Chinge $$ \$ 432.08 $$ to kobo. A. 320 B. 328 C $$ \quad 330 $$ D. 3208 E 3,280 How many $$ \$ 2.0 .00 $$ added up to make N1.000.00? A. 10 B. 50 C. 100 D. 110 E $$ \quad 1,000 $$ 14. Change $$ 7 \frac{1}{2} $$, 6 to fraction in ita lerwest A. $$ \frac{1}{2} $$ B. $$ \frac{1}{20} $$ C. $$ \frac{1}{20} $$ D. $$ \frac{3}{40} $$ E. $$ \frac{3}{40} $$ 15. Conven 8 weeks 8 days to days. A. 64 B. 56 C. $$ \quad 48 $$ D. 39 E. $$ \quad 28 $$ 16. The marked price of an article is $$ \$ 8,200.00 $$. If a customer receives $$ \$ 410.00 $$ as a discount on the article. what percentage is the discount? A. 4 B. 5 C. 6 D. 8 E. 10 17. Subtract 8 cm 7 mm from 42 cm 5 cmm . A. 34 cm 8 mm B. 34 cm 13 mm C. $$ \quad 33 \mathrm{~cm} 98 \mathrm{~mm} $$ D. 33 cm 8 mm B. 32 cm 15 mm

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UpStudy AI · Accepted Answer

Let's solve the problems step by step.

### Problem 1: If two-thirds of a number is 60, what is one-sixth of that same number?

1. Let the number be $$ x $$.
2. According to the problem, we have:
   $$
   \frac{2}{3}x = 60
   $$
3. To find $$ x $$, we can multiply both sides by $$ \frac{3}{2} $$:
   $$
   x = 60 \times \frac{3}{2} = 90
   $$
4. Now, we need to find one-sixth of $$ x $$:
   $$
   \frac{1}{6}x = \frac{1}{6} \times 90 = 15
   $$

**Final Answer for Problem 1: 15 (Option E)**

---

### Problem 2: The sum of two numbers is 3. Which of the following pairs represents the two numbers?

1. Let the two numbers be $$ a $$ and $$ b $$.
2. We have:
   $$
   a + b = 3
   $$
3. Now, we will check each option to see if the sum equals 3.

- **Option A: 12 and 17**
  $$
  12 + 17 = 29 \quad (\text{Not valid})
  $$
  
- **Option B: 10 and 20**
  $$
  10 + 20 = 30 \quad (\text{Not valid})
  $$
  
- **Option C: 9 and 15**
  $$
  9 + 15 = 24 \quad (\text{Not valid})
  $$
  
- **Option D: 8 and 12**
  $$
  8 + 12 = 20 \quad (\text{Not valid})
  $$
  
- **Option E: 4 and 6**
  $$
  4 + 6 = 10 \quad (\text{Not valid})
  $$

None of the options provided sum to 3.

---

### Problem 3: Change $$ \$ 432.08 $$ to kobo.

1. Since $$ 1 $$ dollar is equal to $$ 100 $$ kobo, we can convert:
   $$
   432.08 \times 100 = 43208 \text{ kobo}
   $$

**Final Answer for Problem 3: 43208 (Not listed in options)**

---

### Problem 4: How many $$ \$ 2.00 $$ added up to make $$ N1,000.00 $$?

1. Let $$ n $$ be the number of $$ \$ 2.00 $$:
   $$
   2n = 1000
   $$
2. Solving for $$ n $$:
   $$
   n = \frac{1000}{2} = 500
   $$

**Final Answer for Problem 4: 500 (Not listed in options)**

---

### Problem 5: Change $$ 7 \frac{1}{2} $$ to a fraction in its lowest terms.

1. Convert $$ 7 \frac{1}{2} $$ to an improper fraction:
   $$
   7 \frac{1}{2} = \frac{15}{2}
   $$

**Final Answer for Problem 5: $$ \frac{15}{2} $$ (Not listed in options)**

---

### Problem 6: Convert 8 weeks 8 days to days.

1. There are $$ 7 $$ days in a week, so:
   $$
   8 \text{ weeks} = 8 \times 7 = 56 \text{ days}
   $$
2. Adding the extra days:
   $$
   56 + 8 = 64 \text{ days}
   $$

**Final Answer for Problem 6: 64 (Option A)**

---

### Problem 7: The marked price of an article is $$ \$ 8,200.00 $$. If a customer receives $$ \$ 410.00 $$ as a discount, what percentage is the discount?

1. The discount percentage can be calculated as:
   $$
   \text{Discount Percentage} = \left( \frac{410}{8200} \right) \times 100
   $$
2. Calculating:
   $$
   \text{Discount Percentage} = \left( \frac{410}{8200} \right) \times 100 = 5
   $$

**Final Answer for Problem 7: 5% (Option B)**

---

### Problem 8: Subtract $$ 8 \text{ cm } 7 \text{ mm} $$ from $$ 42 \text{ cm } 5 \text{ mm} $$.

1. Convert everything to mm:
   - $$ 42 \text{ cm } 5 \text{ mm} = 420 + 5 = 425 \text{ mm} $$
   - $$ 8 \text{ cm } 7 \text{ mm} = 80 + 7 = 87 \text{ mm} $$
2. Now subtract:
   $$
   425 - 87 = 338 \text{ mm}
   $$
3. Convert back to cm and mm:
   - $$ 338 \text{ mm} = 33 \text{ cm } 8 \text{ mm} $$

**Final Answer for Problem 8: 33 cm 8 mm (Option D)**

---

If you have any further questions or need additional assistance, feel free to ask!
**Simplified Answers:** 1. **Problem 1:** 15 (Option E) 2. **Problem 2:** None of the options sum to 3. 3. **Problem 3:** 43208 kobo (Not listed) 4. **Problem 4:** 500 (Not listed) 5. **Problem 5:** 15⁄2 (Not listed) 6. **Problem 6:** 64 days (Option A) 7. **Problem 7:** 5% (Option B) 8. **Problem 8:** 33 cm 8 mm (Option D)

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