Question

1. evan spends 30 minutes doing homework. that is 5 times as long as his brother spends. how long does his brother spend on homework? circle the letter for the correct answer choice. a. 5 minutes b. 6 minutes c. 25 minutes d. 35 minutes 2. which of these numbers are composite numbers? select the two numbers that are composite. a. 17 b. 42 c. 51 d. 29 e. 11 3. which of these numbers are prime numbers? select the three numbers that are prime. a. 27 b. 53 c. 12 d. 41 e. 17 4. a number pattern follows the rule \add 12.\ the first number in the pattern is 5. what is the seventh number in the pattern? enter your answer in the box.

Explanation:

Question 1

Step1: Define the relationship

Let \( x \) be the time Evan's brother spends. We know \( 30 = 5x \).

Step2: Solve for \( x \)

Divide both sides by 5: \( x=\frac{30}{5}=6 \).

A composite number has factors other than 1 and itself.

• 17: Prime (only 1 and 17).
• 42: Composite (\( 42 = 2\times21 = 3\times14 = 6\times7 \)).
• 51: Composite (\( 51 = 3\times17 \)).
• 29: Prime (only 1 and 29).
• 11: Prime (only 1 and 11).

So the composite numbers are 42 and 51.

A prime number has only 1 and itself as factors.

• 27: Composite (\( 27 = 3\times9 \)).
• 53: Prime (only 1 and 53).
• 12: Composite (\( 12 = 2\times6 = 3\times4 \)).
• 41: Prime (only 1 and 41).
• 17: Prime (only 1 and 17).

So the prime numbers are 53, 41, 17.

Answer:

B. 6 minutes

Question 2