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A scale on a map shows that . centimeters represents kilometers.What number of actual kilometers are represented by . centimeters on the map?kilometers
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Q. A scale on a map shows that . centimeters represents kilometers.What number of actual kilometers are represented by . centimeters on the map?kilometers
- Set Up Proportion: To find out how many kilometers are represented by centimeters on the map, we need to set up a proportion based on the given scale. The scale tells us that centimeters represent kilometers. We can write this as a ratio: .
- Find Number of Times: Next, we need to find out how many times centimeters contains centimeters. This will tell us how many times we need to multiply the kilometers to get the distance that centimeters represents. We calculate this by dividing by .
- Calculate Total Distance: Performing the division, we get . This means that centimeters on the map is times the distance of the scale's centimeters.
- Perform Multiplication: Now, we multiply the number of times by the distance in kilometers that centimeters represents ( km) to find the total distance represented by centimeters. So, we calculate km.
- Perform Multiplication: Now, we multiply the number of times () by the distance in kilometers that centimeters represents ( km) to find the total distance represented by centimeters. So, we calculate km. The multiplication gives us km km. Therefore, centimeters on the map represents kilometers in actual distance.
