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Answer :
To convert each rate using dimensional analysis, determine the relevant unit conversions: $0.72 per month for running a light bulb, approximately 10 pounds lost per week, and 216.55 miles per hour for the falcon's dive speed
To solve these problems, we will use dimensional analysis to convert the given rates into the desired units. Here's how to perform each conversion step-by-step:
- Cost to run a light bulb per month: Given the cost is $0.001 per hour, we need to calculate the total hours in a month. Assuming a month has approximately 30 days, the calculation would be:
$0.001/hour × 24 hours/day × 30 days/month = $0.72/month. - Pounds lost per week by the biggest loser: The biggest loser lost 0.952 ounces per hour. Since there are 16 ounces in a pound and 168 hours in a week (24 hours/day × 7 days/week), the conversion is:
0.952 ounces/hour × 1 pound/16 ounces × 168 hours/week ≈ 10 pounds/week. - Falcons' dive speed in miles per hour: Falcons can dive at a speed of up to 318 feet per second. There are 5280 feet in a mile and 3600 seconds in an hour, so the conversion is:
318 feet/second × 1 mile/5280 feet × 3600 seconds/hour ≈ 216.55 miles/hour
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Answer:
#1 It costs $0.73 to run each lightbulb per month
#2 They lost 9.996 pounds per week
#3 They can dive 3.61363636 miles per hour
Step-by-step explanation:
#1 There are 730 hours in a month. Multiplying that by 0.001 gives $0.73.
#2 There are 168 hours in a week. Multiplying that by 0.952 gives 159.936 ounces. 159.936 ounces = 9.996 pounds
#3 One minute equals 60 seconds. 318x60 gives 19,080 feet. 19,080 feet converted gives 3.61363636 miles
