Answer:
C. II only
Explanation:
17. Which of the following sentences is true when n = 4?
I. (9 + 15) ÷ 2 + n × 6 = 32
II. (9 + 15) ÷ 3 + n × 6 = 32
III. (9 + 16) ÷ 3 + n + 6 = 32
First, let's find if the sentence of I is correct:
(9 + 15) ÷ 2 + n × 6 = 32
(9 + 15) ÷ 2 + 4 × 6 = 32
24 ÷ 2 + 4 × 6 = 32
12 + 4 × 6 = 32
12 + 24 = 32
36 = 32 ❌
Let's find if the sentence of II is correct.
(9 + 15) ÷ 3 + n × 6 = 32
(9 + 15) ÷ 3 + 4 × 6 = 32
24 ÷ 3 + 4 × 6 = 32
8 + 4 × 6 = 32
8 + 24 = 32
32 = 32 ✅
Let's find if the sentence of III is correct.
(9 + 16) ÷ 3 + n + 6 = 32
(9 + 16) ÷ 3 + 4 + 6 = 32
25 ÷ 3 + 4 + 6 = 32
[tex]\frac{25}{3}[/tex] + 4 + 6 = 32
[tex]\frac{25}{3 }+ \frac{12}{3}+\frac{18}{3} = 32[/tex]
[tex]\frac{55}{3} =32[/tex] ❌
Therefore, only II is the correct sentence.
The answer will be C. II only.
