Answer:
n-4(32.5) > 300;n > 430
Step-by-step explanation:
Simplify: 300 = 4n - 130
Add 130 to each side. 430 = 4n
Divide by 4 on each side: 107.50= n
300 = 4(107.50) - 130? True
This tells us he must be paid $107.50 to make $300 exactly. Anything larger than $107.51 and up will make more than $300.
Answer:
D
Step-by-step explanation:
If you add 0 to anything, you do not have anything new when you are finished. A is an identity.
When you multiply 1 times anything, you do not get anything new. B is an identity
When you switch the order of two numbers and they are not affected by signs, then you are using the commutative property of addition. Nothing changes. C is an identity.
D is the problem child. Nothing I can think of right now will not change will you add 1 to it. If you can think of something that doesn't change when you add one to it, please put it in the comments. Otherwise, D is not an identity.
Answer:

Step-by-step explanation:
The unit vector for a nonzero vector, say u, in the direction of u is given by:
û =
---------------(i)
Where;
|u| = magnitude of vector u
From the question;
u = (4, -4)
First let's calculate the magnitude of u as follows;
|u| = 
|u| = 
|u| =
= 
Now, substitute u and |u| into equation (i) as follows;
û = 
û = 
û = 
Therefore, the unit vector is 
Answer:
n²-7n-21
Explanation:
Given the expression:

First, open the brackets:

Next, bring the like terms together and simplify:

Helen = 30 T (T = tickets)
Gina = 30 + 20 = 50 T
20% of 50 = 10
30 + 10 = 404
50 - 10 = 40
Gina must give 20% of her tickets for them to have equal amount of tickets.
Hope this helps!!