Question
mulative Review 3 tion A Multiple-Choice Questions 4 file costs 5 k dollars and a notebook costs \( \frac{1}{6} \) of the file. Which expression shows the cost of the notebook in dollars?
Ask by Malone Summers. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cost of the notebook is \( \frac{5k}{6} \) dollars.
Solution
To find the cost of the notebook in dollars, we need to use the information given in the problem.
1. The cost of the file is \( 5k \) dollars.
2. The cost of the notebook is \( \frac{1}{6} \) of the cost of the file.
Now, we can express the cost of the notebook using the cost of the file:
\[
\text{Cost of notebook} = \frac{1}{6} \times \text{Cost of file}
\]
Substituting the cost of the file:
\[
\text{Cost of notebook} = \frac{1}{6} \times 5k
\]
Now, we can simplify this expression:
\[
\text{Cost of notebook} = \frac{5k}{6}
\]
Thus, the expression that shows the cost of the notebook in dollars is:
\[
\frac{5k}{6}
\]
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Simplify this solution The Deep Dive
The cost of the notebook can be determined by finding \( \frac{1}{6} \) of the file's cost. Since the file costs 5k dollars, the cost of the notebook would be represented as \( \frac{1}{6} \times 5k \). This simplifies to \( \frac{5k}{6} \) dollars. If you wanted to further manipulate the expression, you could factor out k to make it clearer, like this: \( \frac{5}{6}k \). Either way, you'll be left with the price of the notebook in terms of its relationship to the cost of the file!
