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MAVERICK [17]
3 years ago
11

S

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0

Answer:

Se cortarán en 15 trozos.

Step-by-step explanation:

Para determinar la longitud de cada trozo tal que todos los trozos tengan la misma longitud, se descompone factorialmente cada número:

40 = 2\times 2 \times 2 \times 5

50 = 2\times 5\times 5

60 = 2\times 2\times 3\times 5

Ahora, determinamos el factor común de los tres números. Se puede encontrar que los tres números comparten un 2 y un 5. Entonces, el factor común es:

r = 2\times 5 = 10

Este factor común representa la longitud de cada segmento. La cantidad de elementos se obtiene al dividir la suma de longitudes de las cintas por el factor común:

x = \frac{40\,cm+50\,cm+60\,cm}{10\,cm}

x = \frac{150\,cm}{10\,cm}

x = 15

Se cortarán en 15 trozos.

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