Question
A battery that lasts for 12 hours has been in use for 7 hours. What percent of the battery life has been used up?
Ask by Love Mitchell. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
58.33% of the battery life has been used up.
Solution
To find the percentage of the battery life that has been used up, we can use the formula:
\[ \text{Percentage used} = \left( \frac{\text{Hours used}}{\text{Total battery life}} \right) \times 100\% \]
Given that the battery lasts for 12 hours and has been in use for 7 hours, we can substitute these values into the formula to find the percentage of the battery life that has been used up.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{7}{12}\times 100\)
- step1: Reduce the numbers:
\(\frac{7}{3}\times 25\)
- step2: Multiply:
\(\frac{7\times 25}{3}\)
- step3: Multiply:
\(\frac{175}{3}\)
The percentage of the battery life that has been used up is \(58\frac{1}{3}\%\) or approximately 58.33%.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find out how much of the battery life has been used up, you can divide the time the battery has been in use by its total life and multiply by 100. So, 7 hours ÷ 12 hours = 0.583. Multiply by 100 to convert it to a percentage: 0.583 × 100 = 58.3%. Therefore, approximately 58.3% of the battery life has been used up! For a fun twist, imagine you’re on a mission with a gadget that only has 12 hours of juice. After 7 hours of scrolling, gaming, or binge-watching, you've used up a bit more than half your superhero power! Keep an eye on it – you don’t want to run out just before the big reveal!
