Which of the following is not a composite number? A. 65 B. 39 C. 41 D. 24

$$7 - 2x \ge 15 - 4x$$

Add $4x$ to both sides:

$$7 - 2x + 4x \ge 15$$ $$7 + 2x \ge 15$$

Subtract 7 from both sides:

$$2x \ge 15 - 7$$ $$2x \ge 8$$

Divide by 2:

$$x \ge \frac{8}{2}$$ $$x \ge 4$$

The correct option is A.
The solution is $\boxed{x \ge 4}$.

2.
Evaluate $p^2(q-1)$ when $p=2$ and $q=\frac{3}{4}$.

$$(2)^2\left(\frac{3}{4}-1\right) = 4\left(\frac{3}{4}-\frac{4}{4}\right)$$ $$= 4\left(-\frac{1}{4}\right)$$

$$= -1$$

The correct option is C.
The value is $\boxed{-1}$.

3.
Antwi has 20 mangoes and 20% are rotten. How many of them are not rotten?

Number of rotten mangoes = $20\%$ of 20

$$= \frac{20}{100} \times 20$$ $$= \frac{1}{5} \times 20$$ $$= 4$$

Number of not rotten mangoes = Total mangoes - Number of rotten mangoes

$$= 20 - 4$$ $$= 16$$

The correct option is A.
The number of mangoes that are not rotten is $\boxed{16}$.

4.
Which of the following is not a composite number?
A. 65
B. 39
C. 41
D. 24

A composite number is a positive integer that has at least one divisor other than 1 and itself. A prime number has only two divisors: 1 and itself.

• A. $65 = 5 \times 13$. Since 65 has factors other than 1 and 65 (e.g., 5 and 13), it is a composite number.
• B. $39 = 3 \times 13$. Since 39 has factors other than 1 and 39 (e.g., 3 and 13), it is a composite number.
• C. 41. The only positive divisors of 41 are 1 and 41. Therefore, 41 is a prime number, not a composite number.
• D. $24 = 2 \times 12 = 3 \times 8 = 4 \times 6$. Since 24 has factors other than 1 and 24, it is a composite number.

The number that is not a composite number is 41.
The correct option is C.
The number that is not a composite number is $\boxed{41}$.

5.
Mary receives a commission of 15% on articles sold in a week. If her commission was GH¢ 60.00, how much sales did she make?

Let $S$ be the total sales.
Commission = $15\%$ of $S$

$$\text{GH¢ } 60.00 = \frac{15}{100} \times S$$

$$60 = \frac{15}{100} S$$

Multiply both sides by 100:

$$60 \times 100 = 15 S$$ $$6000 = 15 S$$

Divide by 15:

$$S = \frac{6000}{15}$$ $$S = 400$$

The correct option is B.
Mary's total sales were $\boxed{\text{GH¢ } 400.00}$.