Answer:

Step-by-step explanation:
We have the expression:

To solve this equation we must factor:
1.- Take common factor x.

2.- Evaluate the expressions to know when they are equal to 0.
or 
or 
3.- The solutions are:

Answer:
a) $926.40
b) $606.32
Step-by-step explanation:
a)
If she worked a total of 45.5 hours, she will receive $19.20 per hour in the first 40 hours and 1.5 * $19.20 for the exceeding 5.5 hours, so her earnings is:
19.2 * 40 + 1.5 * 5.5 * 19.2 = $926.40
b)
The deduction is $34.75, so the remaining will be:
926.40 - 34.75 = $891.65
Then, after this deduction, the taxes is 32% of the remaining, so:
891.65 - 0.32 * 891.65 = $606.32
She received $606.32
The original expression evaluates to 54.4 as shown in the first working.
_____
For some reason, 3.4 got transcribed to be 1.7 in the 3rd line of the second working. There is no math operation in the expression that requires 3.4 to be divided by 2.
Given :
Sierra is getting her car fixed at a mechanics. The total cost after tax is represented by 0.065(30h) + 30h, where h represents the number of hours it takes to repair the car.
To Find :
What part of the expression represents the amount of money she will have to pay in tax.
Solution :
Total cost , T = 30h( 1 + 0.065)
T = 30h + 30h(0.065)
T = (30h) + (30h )× 6.5 %
Here, 30h is the cost of repairing the car.
Other part shows the tax she have to pay which is 6.5% of the total amount.
Hence, this is the required solution.