The Florida Fish and Wildlife Conservation Commission is conducting a study on wildlife patterns and behaviors in a specific area of the Florida
Everglades. A stationary camera is placed where the area being observed can be filmed and recorded for 96 hours. Researchers found that the footage
revealed that the Cape Sable Seaside Sparrows were observed in the area once every 4 hours and the Florida Leafwing Butterfly was observed in the
area once every 9 hours. What is the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the
Florida leafwing butterfly in the area at the same time?
96
36
4
9

Question

05-09-2022
Mathematics

Answered

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The Florida Fish and Wildlife Conservation Commission is conducting a study on wildlife patterns and behaviors in a specific area of the Florida
Everglades. A stationary camera is placed where the area being observed can be filmed and recorded for 96 hours. Researchers found that the footage
revealed that the Cape Sable Seaside Sparrows were observed in the area once every 4 hours and the Florida Leafwing Butterfly was observed in the
area once every 9 hours. What is the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the
Florida leafwing butterfly in the area at the same time?
96
36
4
9

Sagot :

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Anthougoidn Anthougoidn · Answer 1 · 2022-09-13T07:03:44-04:00

The least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.

What is the least common multiple?

The least common multiple (LCM) is the smallest multiple of two or more numbers.

The LCM of 9 and 4 is 36 (4 x 9).

Data and Calculations:

The total number of hours of filming and recording by the stationary camera is 96.

The regularity of observing the Cape Sable Seaside Sparrows = every 4 hours

The regularity of observing the Florida Leafwing Butterfly = every 9 hours

Using their LCM as 36,

The Cape Sable Seaside Sparrows will be observed 9 times when they meet the Florida Leafwing Butterfly at its 4th observation.

Thus, the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.

Learn more about the least common multiple at https://brainly.com/question/16054958

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Sagot :

What is the least common multiple?

Data and Calculations:

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