Sure, let's break down the problem step-by-step.
1. Identify the Cost of the Tablet:
- The tablet costs [tex]$429.00.
2. Determine Tanya's Hourly Earnings:
- Tanya earns $[/tex]8.25 per hour.
3. Calculate the Number of Hours Needed:
To find out how many hours Tanya needs to work to earn enough money to buy the tablet, we'll use the following calculation:
[tex]\[
\text{Number of hours needed} = \frac{\text{Cost of the tablet}}{\text{Hourly earnings rate}}
\][/tex]
Plugging in the values we have:
[tex]\[
\text{Number of hours needed} = \frac{429.00}{8.25}
\][/tex]
4. Perform the Division:
[tex]\[
\frac{429.00}{8.25} = 52.0
\][/tex]
So, Tanya must work 52.0 hours to earn enough money to buy the tablet.
Final Answer: Tanya needs to work 52.0 hours.