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In Math / Senior High School | 2024-09-03

sarah takes a break every 10 mins tom takes a break every 20 mins emily takes a break every 15 mins in how many mins do the have a break together

Asked by mhy082003

Answer (2)

Answer:To find out when they all have a break together, we need to find the least common multiple (LCM) of 10, 20, and 15.Here's how to find the LCM:Prime Factorization:10 = 2 x 520 = 2 x 2 x 515 = 3 x 5Identify Common and Unique Factors:All numbers share the factors 2 and 5.20 has an extra factor of 2.15 has an extra factor of 3.Multiply the Highest Powers of Each Factor:2² x 3 x 5 = 60Therefore, Rah, Tom, and Emily will all have a break together in 60 minutes.

Answered by blaireeeeeee | 2024-09-03

Answer:To find out when they all take a break together, we need to find the least common multiple (LCM) of 10, 20, and 15. Here's how to find the LCM: 1. Prime Factorization: - 10 = 2 x 5- 20 = 2 x 2 x 5- 15 = 3 x 52. Identify Common and Unique Factors: - All numbers share the factors 2 and 5.- 20 has an extra factor of 2.- 15 has a factor of 3.3. Calculate LCM: - LCM = 2 x 2 x 3 x 5 = 60 Therefore, Sarah, Tom, and Emily will all take a break together in 60 minutes.

Answered by jhelovillacorte | 2024-09-03