An object is moving at a speed of 7 meters every 9 days. Express this speed in centimeters per year. Round your answer to the nearest whole number. *Note: you must use these exact conversion factors to get this question right. Distance/length 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 5280 feet (ft) 1 meter (m) = 100 centimeters (cm) 1 kilometer (km) = 1000 meters (m) 1 inch (in) = 2.54 centimeters (cm) 1 foot (ft) = 0.305 meters (m) 1 mile (mi) = 1.609 kilometers (km) Time 1 minute (min) = 60 seconds (sec) 1 hour (hr) = 60 minutes (min) 1 day (day) = 24 hours (hr) 1 week (week) = 7 days (days) 1 month (month) = 30 days (days) 1 year (year) = 365 days (days) Answer: centimeters per year Submit Answer
The Correct Answer and Explanation is:
To convert the speed of 7 meters every 9 days into centimeters per year, we need to follow a series of steps using the conversion factors provided.
Step 1: Convert meters to centimeters
We are given that 1 meter is equal to 100 centimeters. Therefore, to convert 7 meters into centimeters:7 meters=7×100=700 centimeters7 \text{ meters} = 7 \times 100 = 700 \text{ centimeters}7 meters=7×100=700 centimeters
Now, the object moves 700 centimeters every 9 days.
Step 2: Convert days into years
We know that 1 year equals 365 days. To find how many years 9 days represent, divide 9 by 365:9 days=9365 years9 \text{ days} = \frac{9}{365} \text{ years}9 days=3659 years
This fraction represents the number of years it takes for the object to move 700 centimeters.
Step 3: Find the speed in centimeters per year
To express the speed in centimeters per year, we need to find how many centimeters the object moves in 1 year. We do this by dividing the number of centimeters moved by the fraction of the year represented by 9 days:Speed in cm/year=700 cm9365 years\text{Speed in cm/year} = \frac{700 \text{ cm}}{\frac{9}{365} \text{ years}}Speed in cm/year=3659 years700 cm
Simplifying this expression:Speed in cm/year=700×3659=700×40.56≈28,392 cm/year\text{Speed in cm/year} = 700 \times \frac{365}{9} = 700 \times 40.56 \approx 28,392 \text{ cm/year}Speed in cm/year=700×9365=700×40.56≈28,392 cm/year
Final Answer:
The object moves approximately 28,392 centimeters per year.
This is the speed of the object expressed in centimeters per year, rounded to the nearest whole number.
