Answer:
The percentage of blue beads on Roxanne's necklace is;
![60\text{\%}](https://img.qammunity.org/2023/formulas/mathematics/college/77fu2hx6ykxksg9r0njr9gygpu58om69ou.png)
Step-by-step explanation:
Given that 3 out of 5 beads on the necklace are blue.
The fraction of blue beads is;
![b=(3)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/ei6qgm4maa1ou0n3in1kyk72gmlinkc5mo.png)
The percentage of blue beads will be equal to the product of the fraction of blue beads and 100%.
![\begin{gathered} P_b=b*100\text{\%} \\ P_b=(3)/(5)*100\text{\%} \\ P_b=60\text{\%} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mp6nsw2d0bvggq9xasdt8792lsupxygk0r.png)
Therefore, the percentage of blue beads on Roxanne's necklace is;
![60\text{\%}](https://img.qammunity.org/2023/formulas/mathematics/college/77fu2hx6ykxksg9r0njr9gygpu58om69ou.png)