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erma4kov [3.2K]
3 years ago
5

The cycles for two different events are shown in the table. Each of these events happened in the year 2000. What is the next yea

r in which both will happen if the summer Olympics cycle is 4 and the U.S census cycle is 10?
Mathematics
2 answers:
Umnica [9.8K]3 years ago
7 0
The answer is 2020 (the LCF for 10 and 4 is 20)
krok68 [10]3 years ago
7 0

Answer with explanation:

Cycle for Summer Olympics =14

Cycle for Census =10

We have to find the year in which both will fall together.

Among H C F and L C M, Lowest common multiple gives the greatest number which is divisible by both the numbers that is 14 and 10.

14= 2 × 7

10 = 2×5

L C M of 14 and 10 = 2 × 5×7= 70

So, in 2070 ,the two summer Olympics as well as US census cycle will fall.

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Step-by-step explanation:

Lo que debemos hacer en este caso es dividir la cantidad total de panchos primero por la cantidad de unidades de salchichas que vienen en su paquete y segundo por la cantidad de unidades de panes para panchos que vienen en su paquete, si el resultado nos da un numero entero podemos decir que usa una cantidad completa de paquetes de salchichas y de panes:

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Es decir que para 96 panchos se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho, por lo tanto es cierto.

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