Correct Answer: A

Rationale:
To find the discount amount, calculate 20% of $30: 0.20 $30 = $6. Subtract the discount from the original price to get the sale price: $30 - $6 = $24.
Therefore, the correct answer is $24.

Choices B, C, and D are incorrect as they do not reflect the correct calculation of applying a 20% discount to the original price of $30.

Correct Answer: D

Rationale:
To determine the correct order from least to greatest, start by simplifying the expressions. 2^(-1) = 1/2 and (-1)^3 = -1. Now, comparing the values, (-4/3) is the most negative, followed by -1, then (2/5), and finally 1/2.
Therefore, the correct order is (-4/3), (-1)^3, (2/5), 2^(-1), making choice D the correct answer.

Choices A, B, and C are incorrect because they do not follow the correct order from least to greatest as determined by comparing the values of the expressions after simplification.

Correct Answer: C

Rationale:
To find the number of hosts in the restaurant, first, express the ratio algebraically as 9x + 2x + 1x = 36, where x represents the common factor. Combine like terms to get 12x = 36. Solve for x by dividing both sides by 12 to get x = 3.
To find the number of hosts, multiply the coefficient of hosts (2) by x, which equals 6.
Therefore, there are 6 hosts at the restaurant.
Choice A, 3, is incorrect as it represents the number of servers.

Choices B and D are incorrect as they do not correspond to the number of hosts based on the given ratio.

Correct Answer: A

Rationale:
To find the width of the rectangular field, use the formula for the area of a rectangle: A = length width. Given that the length is three times the width, you have A = 3w w. Substituting the given area, 1452 = 3w^2. Solving for w, you get 484 = w^2. Taking the square root gives ±22, but since the width must be positive, the width of the field is 22 feet.
Choice B, 44 feet, is incorrect because it represents the length, not the width.
Choice C, 242 feet, is incorrect as it is not a factor of the area.
Choice D, 1452 feet, is incorrect as it represents the total area of the field, not the width.

Correct Answer: A

Rationale:
To calculate the decline in business, start with the 40% decline in the 70% share of print subscriptions: 40% of 70% = 0.40 0.70 = 0.28 = 28% decline. Next, calculate the growth from the 60% increase in the 25% share of online subscriptions: 60% of 25% = 0.60 0.25 = 0.15 = 15% growth.
To find the overall change, sum the decline and growth percentages: 28% decline + 15% growth = -0.28 + 0.15 = -0.13 = 13% decline.
Therefore, the overall percentage change in the newspaper's business is a 13% decline. Option A is the correct answer. Option B is incorrect because it doesn't consider the correct calculations for both the decline and growth. Option C is incorrect as it misinterprets the net change in business. Option D is incorrect as it miscalculates the overall percentage growth or decline.