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29 Oct 2024, 16:39
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A: 11
B: 5
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
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Question Stats:
44% (01:26) correct
56%
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The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground. The scale of map X is 1:2000. If the distance between two points on the map is 5.5 m, then the distance on the ground is A km. The distance between two reservoirs on that map is B m while the distance between them on the ground is 10,000 m.
Select a value for A and a value for B that are jointly consistent with the information provided. Make only two selections, one in each column.
Select a value for A and a value for B that are jointly consistent with the information provided. Make only two selections, one in each column.
| A | B | |
| 1 | ||
| 5 | ||
| 5.5 | ||
| 11 | ||
| 1100 | ||
| 11000 |
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Official Answer
A: 11
B: 5
30 Oct 2024, 12:33
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The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground. The scale of map X is 1:2000. If the distance between two points on the map is 5.5 m, then the distance on the ground is A km. The distance between two reservoirs on that map is B m while the distance between them on the ground is 10,000 m.
Select a value for A and a value for B that are jointly consistent with the information provided. Make only two selections, one in each column.
A
The scale of the map is 1:2000.
To go from 5.5 m to the distance on the ground, we multiply by 2000.
5.5 m × 2000 = 11,000 m
However, the correct answer for A is not 11,000 because A is in km.
So, to find A, we must now divide by 1,000 to convert our answer from m to km.
11,000/1,000 = 11
For A, select 11.
B
Just so we get practice paying attention to detail, unlike the values involved in calculating A, the values involved in calculating B are all in m.
So, to find B, we simply divide 10,000 m by 2,000 to arrive at a value of 5 m.
For B, select 5.
Correct answer: 11, 5
Select a value for A and a value for B that are jointly consistent with the information provided. Make only two selections, one in each column.
A
The scale of the map is 1:2000.
To go from 5.5 m to the distance on the ground, we multiply by 2000.
5.5 m × 2000 = 11,000 m
However, the correct answer for A is not 11,000 because A is in km.
So, to find A, we must now divide by 1,000 to convert our answer from m to km.
11,000/1,000 = 11
For A, select 11.
B
Just so we get practice paying attention to detail, unlike the values involved in calculating A, the values involved in calculating B are all in m.
So, to find B, we simply divide 10,000 m by 2,000 to arrive at a value of 5 m.
For B, select 5.
Correct answer: 11, 5
30 Oct 2024, 14:00
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1. Map X is given with a scale 1:2000. We are asked to find the distances A and B.
2. Case#1 (Finding A). The distance between two points on the map is 5.5 m, which means the actual distance is \(5.5 m * 2000 = 11000 m\). However, A is in km, so A = 11.
3. Case#2 (Finding B). The real life distance is 10000 m, which means the distance between their points on the map will be \(\frac{10000 \ m}{2000} = 5 \ m\). So, B = 5.
4. Our answer will be A = 11 and B = 5.
2. Case#1 (Finding A). The distance between two points on the map is 5.5 m, which means the actual distance is \(5.5 m * 2000 = 11000 m\). However, A is in km, so A = 11.
3. Case#2 (Finding B). The real life distance is 10000 m, which means the distance between their points on the map will be \(\frac{10000 \ m}{2000} = 5 \ m\). So, B = 5.
4. Our answer will be A = 11 and B = 5.
