22. 36
23. 13/2
24. 1.1, -9.1
Answer:
$10.52 tip should be given to the waiter.. The total bill including tax is $67.33
Step-by-step explanation:
We are given the following in the question:
Pre-tax amount = $52.60
Tip percentage = 20%
Tax percentage = 8$
Tip value =

Thus, $10.52 tip should be given to the waiter.
Tax value =

Total bill =
Pre tax amount + Tip + Tax

Thus, the total bill including tax is $67.33
Answer:
b. mutually exclusive.
Step-by-step explanation:
The given description is an illustration of mutually exclusive events.
Take for instance, when you roll a die;
It is impossible to have an outcome of 2 and 6 at the same time; these means that 2 and 6 are mutually exclusive.
In a nutshell, when two or more sates of events/states of nature can not happen at the same time; such events/states of nature are mutually exclusive.
Answer:
x = 1
Step-by-step explanation:
Since, angle TUV has been divided in two parts by a ray UW
Measure of angle TUV = measure of angle TUW + measure of angle WUV
m∠TUV = m∠TUW + m∠WUV
By substituting the values of the given angles,
(9x + 1) = (7x - 9) + (5x - 11)
9x + 1 = 12x - 20
12x - 9x = 20 + 1
21x = 21
x = 1
Therefore, x = 1 will be the answer.