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Amber and Cole are engage Amber works at the pharmacy and Cole works at the library in a few months they will move to an apartment that is located at a point that is Collinear to the location at the pharmacy in the library in partition the line segment into a ratio of 2:3 coming from the pharmacy if each grid in the graph represents 500 m then how far is the apartment from both go and Ambers places of work

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Final answer:

To find the distance of the apartment from both Amber and Cole's places of work, we can divide the line segment between the pharmacy and the library into a ratio of 2:3. If each grid on the graph represents 500m, the distance to the apartment would be 2500x meters, where x is the distance between the pharmacy and the library.

Step-by-step explanation:

To find the distance of the apartment from both Amber and Cole's places of work, we need to divide the line segment between the pharmacy and the library into a ratio of 2:3. Given that each grid in the graph represents 500m, we can calculate the distance using proportional reasoning.

Let's assume the distance from the pharmacy to the library is x. Since the ratio is 2:3, we can represent the distance from the pharmacy as 2x and the distance from the library as 3x. The total distance would be 2x + 3x = 5x.

If each grid on the graph represents 500m, then 1 grid = 500m. Therefore, 5x grids would represent 5x * 500m = 2500x meters.

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