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ZanzabumX [31]
2 years ago
5

There were 80 runners to start a race in the first half of the race, 1/5 of them dropped out. In the second half of the race, 1/

4 of the remaining runners dropped out. How many runners finished the race
Mathematics
1 answer:
charle [14.2K]2 years ago
8 0

Answer:

4

Step-by-step explanation:

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What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third?
Vikentia [17]

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The correct answer is x > 2.

Step-by-step explanation:

\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3}

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( \geq ) or less than equal to ( \leq ) signs. We solve the above given inequality to find the solutions of the unknown x.

\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3} \\\dfrac{5}{6} x - \dfrac{1}{3} > \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{1}{3} + \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{5}{3}\\x > 2

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We then transfer the - \frac{1}{3} to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.

Finally we divide both sides with \frac{6}{5} to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.

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