The simplified expression would be 6m-8n+4p

This happens whenever

or

. More generally,

whenever you start with one of these angles and add any multiple of

, so the general solution would be

, where

is any integer. (Notice that when

, you end up with

.)
Answer:







Step-by-step explanation:
Rational numbers:
-are all numbers you can write as a quotient of integers
, 
-include terminating decimals. For example, 
-include repeating decimals. For example, 
Irrational numbers:
-have decimal representations that neither terminate nor repeat. For example, 
-cannot be written as quotients of integers
Answer:
(a) c = 40h + p
(b) $285
Step-by-step explanation:
(a)
Total Cost = (Cost per hour x Number of Hours) + Total Cost of Parts
c = 40h + p
(b)
For this case, p = $165 and h = 3:
c = 40*3 + 165 = $285