Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax = 20%
Then amount of tips given by Julia = (20/100) * 72.60
= (1/5) * 72.60
= 14.52 dollars
Then the amount in total paid by Julia before adding service tax = (72.60 + 14.52) dollars
= 87.12 dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12.
Then
Amount of sales tax given by Julia = (8/100) * 87.12
= 696.96/100
= 6.969
= 6.97 dollars
So the total amount paid by Julia for the service at the salon = (87.12 + 6.97) dollars
= 94.07 dollars
Julia paid a total of $94.07 for the service she received at the salon.
Remark
This really can't be done unless you know that T is the midpoint. I'm pretty sure it is intended to be.
Solve
5x + 3 = 48 Subtract 3
5x = 48 - 3
5x = 45 Divide by 5
x = 45/5
x = 9
When reduced, both of these equations are
y=(-2/5)x + 7/5, which means they are the same line and therefor have infinitely many solutions
Table 1
Input (x) 1 3 5 5 9
Output (y) 7 16 19 20 28
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 1, it is clear that:
- Each input or x-value of the X set has a unique y-value or output of the Y set.
- There is no duplicated input (repeated x value).
Therefore, Table 1 represents a function.
Table 2
Input (x) 0.5 7 7 12 15
Output (y) 7 15 10 23 30
We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 2, it is clear that:
- There is a duplicated input (repeated x value) i.e. x = 7 appears twice. And we can not have repeated input values.
As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.
Therefore, Table 2 does not represent a function.
Answer: the answer is option C, tan C
I hope that helps :)
Step-by-step explanation:
