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EyeSpy
Hello!

We’ll begin by finding the number of periods in 1 hour. Using the given fact that each period is 1/3 of an hour, we can create and solve the following equation:

1 ÷ [tex] \frac{1}{3} [/tex] = 3

We have now proven that there are 3 periods in every hour. We are now asked to find the number of periods in 8 hours. Using the fact that there are 3 periods to one hour, we can create and solve the following equation:

8 × 3 = 24

We have now proven that there are 24 periods of time in 8 hours.

I hope this helps!

Using proportions, it is found that an 8-hour period of time represents 24 periods of 1/3 of an hour long.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, one period is 1/3 hour long, and we want to find how many periods correspond to 8 hours, hence the rule of three is:

1 period - 1/3 of a hour

x periods - 8 hours

Applying cross multiplication:

[tex]\frac{1}{3}x = 8[/tex]

[tex]x = 24[/tex]

An 8-hour period of time represents 24 periods of 1/3 of an hour long.

More can be learned about proportions at https://brainly.com/question/24372153

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