Multiply: 6 0.06 =

Correct Answer: C

Rationale: When multiplying 6 by 0.06, you can treat 0.06 as 6 hundredths. So, 6 0.06 is equivalent to 6 6 hundredths, which equals 0.36. The correct answer is 0.36. Choice A (0.0036) is incorrect because it represents 6 multiplied by 0.0006, not 0.06. Choice B (0.036) is incorrect as it represents 6 multiplied by 0.06 without considering the position of the decimal point. Choice D (3.6) is incorrect as it represents 6 multiplied by 6, not by 0.06.

Correct Answer: B

Rationale: Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.

Correct Answer: B

Rationale: If the team can replace 14 streetlights in 7 hours, it means they replace 2 streetlights per hour. In a 30-hour week, they can therefore replace 2 x 30 = 60 streetlights. To replace all 120 downtown streetlights, they will need 120 / 2 = 60 hours, which is equivalent to 60 / 30 = 2 weeks. Therefore, the correct answer is 2 weeks. Choice A, 1½ weeks, is incorrect because it doesn't consider the total number of streetlights that need to be replaced. Choice C, 2½ weeks, is incorrect as it overestimates the time needed. Choice D, 3 weeks, is incorrect as it underestimates the efficiency of the team in replacing streetlights.

Correct Answer: B

Rationale: When dividing 5 by 9, you are finding how many times 9 can fit into 5. Since 9 is greater than 5, the result will be less than 1. Therefore, 5 · 9 equals 0.555... which is approximately 0.5. Choice A (0.05) is incorrect because it implies a smaller value than the correct answer. Choice C (5) is incorrect as it is not the result of dividing 5 by 9. Choice D (50) is incorrect as it is a much larger value than the correct answer.

Correct Answer: D

Rationale: To calculate the time it takes to travel a certain distance, we can use the formula Time = Distance / Speed. In this case, the helicopter is flying at 80 mph and needs to travel 140 miles. Therefore, Time = 140 miles / 80 mph = 1.75 hours or 1 hour and 45 minutes. So, the correct answer is D. 1 hour 45 minutes. Choices A, B, and C are incorrect as they do not represent the accurate time it takes for the helicopter to cover the 140-mile distance at 80 mph.