Question

During one​ semester, Kara Diano had total expenses of ​$6500. She spent ​$2275 on  clothing. Find the percent of the total expenses spent on clothing. Then find the degrees of a circle this percent represents.
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Part 1
What percent of her expenses was spent on clothing​?
  
enter your response here​%

Answer 1

To find the percent of Kara Diano's total expenses that she spent on clothing, you can use the following formula:

\[
\text{Percent} = \left(\frac{\text{Amount spent on clothing}}{\text{Total expenses}}\right) \times 100
\]

Given:
- Amount spent on clothing = $2275
- Total expenses = $6500

Now, substituting the values into the formula:

\[
\text{Percent} = \left(\frac{2275}{6500}\right) \times 100
\]

Calculating the fraction:

\[
\frac{2275}{6500} \approx 0.350
\]

Now, multiplying by 100:

\[
\text{Percent} \approx 0.350 \times 100 \approx 35.0\%
\]

So, Kara spent approximately **35.0%** of her total expenses on clothing.

### Part 2: Find Degrees of a Circle

To find the degrees of a circle that this percent represents, you can use the fact that a full circle is 360 degrees. You can calculate the degrees by using the following formula:

\[
\text{Degrees} = \left(\frac{\text{Percent}}{100}\right) \times 360
\]

Substituting in the percent we found:

\[
\text{Degrees} = \left(\frac{35.0}{100}\right) \times 360
\]

Calculating the degrees:

\[
\text{Degrees} = 0.35 \times 360 \approx 126
\]

So, the percent spent on clothing represents approximately **126 degrees** of a circle.