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The distance from Uranus to Jupiter is 
2.092 ×10^(9) kilometers. How long would it take a rocket, traveling at 
2.5 ×10^(4) kilometers per hour to travel from Uranus to Jupiter? Round your answer to the nearest whole number of hours.
Answer: hours

The distance from Uranus to Jupiter is 2.092×109 2.092 \times 10^{9} kilometers. How long would it take a rocket, traveling at 2.5×104 2.5 \times 10^{4} kilometers per hour to travel from Uranus to Jupiter? Round your answer to the nearest whole number of hours.\newlineAnswer: ____hours

Full solution

Q. The distance from Uranus to Jupiter is 2.092×109 2.092 \times 10^{9} kilometers. How long would it take a rocket, traveling at 2.5×104 2.5 \times 10^{4} kilometers per hour to travel from Uranus to Jupiter? Round your answer to the nearest whole number of hours.\newlineAnswer: ____hours
  1. Identify Given Values: Identify the given values and what needs to be calculated.\newlineWe are given:\newline- The distance from Uranus to Jupiter: 2.092×1092.092 \times 10^9 kilometers\newline- The speed of the rocket: 2.5×1042.5 \times 10^4 kilometers per hour\newlineWe need to calculate the time it would take for the rocket to travel this distance at the given speed.
  2. Use Time Formula: Use the formula for time, which is distance divided by speed.\newlineTime = DistanceSpeed\frac{\text{Distance}}{\text{Speed}}\newlineTime = 2.092×109 km2.5×104 km/h\frac{2.092 \times 10^9 \text{ km}}{2.5 \times 10^4 \text{ km/h}}
  3. Perform Division: Perform the division to calculate the time.\newlineTime = (2.092×109)/(2.5×104)(2.092 \times 10^9) / (2.5 \times 10^4)\newlineTime = (2.092/2.5)×(109/104)(2.092 / 2.5) \times (10^9 / 10^4)\newlineTime = 0.8368×1050.8368 \times 10^5
  4. Simplify Result: Simplify the result to find the time in hours.\newlineTime = 0.8368×1050.8368 \times 10^5 hours\newlineTime = 83,68083,680 hours
  5. Round Answer: Round the answer to the nearest whole number as instructed.\newlineTime 83,680\approx 83,680 hours (rounded to the nearest whole number)

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