At what meter mark will Ario be when Miguel starts the race? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A number line goes from 0 to 25. A line is drawn from 3 to 25. The point at 3 is labeled Start and the point at 25 is labeled End. Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario’s completed meters to Ario’s remaining meters is 1:4.

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Answer: 7.4 meters

Step-by-step explanation:

Start Mark = 3m

End mark = 25m

Total length to race = 25 - 3 = 22m

Position of both Ario and miguel = 3 meter from one side of the pool; that is 3 meters behind the START MARK

Ario's completed to remain ratio = 1:4

Total ratio = 5

Ario's Completed meters = (22/5) * 1 = 4.4m

Therefore, when Miguel starts the race, Ario will be on (4.4meters + number of meters behind the start mark)

= 4.4 meters + 3 meters = 7.4meters

The distance of Ario from the start point when miguel starts is;

7.44 m

  • We are told that A line is drawn from 3 to 25.

        This means distance of line = 25 - 3 = 22 m

  • The start point is at the 3 m mark.

Miguel and his brother Ario are standing 3 m from one side of the pool.

This means that they are both 3 meters behind the start point.

  • We are told that the ratio of Ario’s completed meters to Ario’s remaining meters is 1:4.

Thus, ario's completed meters when Miguel will start is;

¹/₅ × 22 = 4.4 m

  • Since Miguel is 3 m from the start and Ario has just done 4.4 m, then it means that;

Distance of miguel from Ario when miguel starts = 3 + 4.4 = 7.4 m

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