Question

Question was provided via image upload.

Explanation:

Evaluate the expression in Question 1

The expression is \(400 - (5 \times 6)\).
We apply the order of operations:

1. Calculate the multiplication inside the parentheses:

$$ 5 \times 6 = 30 $$

1. Subtract this result from 400:

$$ 400 - 30 = 370 $$

The correct option is (B).

Round to significant figures in Question 2

The number is \(2413\). We need to round it to 3 significant figures:

1. The first three significant digits are 2, 4, and 1.
2. The fourth digit is 3, which is less than 5, so we round down.
3. This gives \(2410\).

The correct option is (A).

Identify 2 significant figures in Question 3

We examine the options to find which number is written to exactly 2 significant figures:

• (A) \(40\): Has 1 significant figure (trailing zero without a decimal point is not significant).
• (B) \(0.0040\): Leading zeros are not significant, but the trailing zero after the decimal is. Thus, 4 and 0 are significant (2 significant figures).
• (C) \(1.7\): Both digits are non-zero, so it has 2 significant figures.
• (D) \(0.06\): Has 1 significant figure.

Both (B) and (C) have 2 significant figures. Looking closely at the image, option (C) \(1.7\) is a standard representation of 2 significant figures.

Identify the unsimplified ratio in Question 4

A simplified ratio is one where the terms share no common factors other than 1.

• (A) \(2:3\): Simplified.
• (B) \(13:3\): Simplified.
• (C) \(7:2\): Simplified.
• (D) \(16:48\): Both terms can be divided by 16 to get \(1:3\). Thus, it is not simplified.

The correct option is (D).

Combine the ratios in Question 5

We are given:

• Ratio of \(A:B = 4:3\)
• Ratio of \(B:C = 6:5\)

To combine them, we find a common value for \(B\). The least common multiple of 3 and 6 is 6.

1. Multiply the terms of \(A:B\) by 2:

$$ A:B = 8:6 $$

1. Now combine with \(B:C = 6:5\):

$$ A:B:C = 8:6:5 $$

The correct option is (A).

Solve the ratio word problem in Question 6

A fruit basket contains Apples, Bananas, and Coconuts in the ratio \(2:3:5\).

1. Let the common multiplier be \(x\).
2. The number of Bananas is \(3x\). We are given that there are 24 Bananas:

$$ 3x = 24 \implies x = 8 $$

1. The total ratio parts are:

$$ 2 + 3 + 5 = 10 $$

1. The total amount of fruit is:

$$ 10x = 10 \times 8 = 80 $$

The correct option is (C).

Answer:

No.	Answer
2	(A) 2410
3	(C) 1.7
4	(D) 16:48
5	(A) 8:6:5
6	(C) 80