44 hours
473=10.75h
Explanation
Step 1
let h represents the number of hours she works
let rate= $10.75 per hour
let earnings =$473.00
to know the total earned, we can write this equation
total earned= time worked*rateto find
Now, replace
[tex]\begin{gathered} 473=h\cdot10.75 \\ 473=10.75h\rightarrow equation \end{gathered}[/tex]Step 2
now, let's solve the equation to find the number of hours she would have to work to earn $473
[tex]473=10.75h[/tex]we need to isolate h, The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal, we can use this fact
[tex]\begin{gathered} 473=10.75h \\ \text{divide both sides by 10.75} \\ \frac{473}{10.75}=\frac{10.75}{10.75}h \\ 44=h \end{gathered}[/tex]therefore, the answer is 44 hours
I hope this helps you
