Clarke Curry
09/04/2023 · High School

3 e number of hours in 80 minutes is \( \frac{80}{60} \). Which statements are true? The number of hours in decimal form is 1.3 . The amount of time is a full hour and \( \frac{1}{3} \) hour. The number of hours is a terminating decimal. The number of hours is between 1 and 1.35 . Dividing 6 by 8 will give the correct decimal value.

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To solve this problem, let's first find the number of hours in 80 minutes. 1. Convert minutes to hours: \[ \text{Number of hours} = \frac{80}{60} \] 2. Simplify the fraction: \[ \text{Number of hours} = \frac{4}{3} \] 3. Convert the fraction to a decimal: \[ \text{Number of hours} = 1.333... \] (repeating) Now let's evaluate each statement: 1. The number of hours in decimal form is 1.3. - This statement is false because the decimal form is 1.333... (repeating), not 1.3. 2. The amount of time is a full hour and \( \frac{1}{3} \) hour. - This statement is true because \( \frac{4}{3} \) hours is equivalent to 1 hour and \( \frac{1}{3} \) hour. 3. The number of hours is a terminating decimal. - This statement is false because the number of hours is a repeating decimal (1.333...). 4. The number of hours is between 1 and 1.35. - This statement is true because 1.333... is between 1 and 1.35. 5. Dividing 6 by 8 will give the correct decimal value. - This statement is true because \( \frac{6}{8} = \frac{3}{4} = 0.75 \), which is not the correct decimal value for 80 minutes. However, if we consider the original problem, \( \frac{80}{60} \) is not equal to \( \frac{6}{8} \), so this statement is not directly related to the original problem. Therefore, the true statements are: - The amount of time is a full hour and \( \frac{1}{3} \) hour. - The number of hours is between 1 and 1.35.

Quick Answer

The amount of time is 1 hour and \( \frac{1}{3} \) hour. The number of hours is between 1 and 1.35.
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