An ancient culture had a solar calendar with a 365 day cycle and a religious calendar with a 292 day cycle. if the calendars both start today, in how many days will they next coincide?

Hello!

An ancient culture had a solar calendar with a 365 day cycle and a religious calendar with a 292 day cycle. If the calendars both start today, in how many days will they next coincide?

Make the Least common multiple (LCM) of 365 and 292:  

365, 292 | 5

73, 292 | 2

73, 146 | 2

73, 73 | 73

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I Hope this helps, greetings ... Dexteright02! =)

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )