Answer:
2,130
Step-by-step explanation:
1. solve for x.

when 

2. place value for X into equation

Maximim profit is 2,130.
Rewrite the equation: 2y=x-6, y=x/2-3, so slope is 1/2 which is also the slope of the parallel line.
It will have the equation y=x/2+a where a is found by plugging in the given point: 4=-1+a, so a=5.
Therefore y=x/2+5. (This can also be written 2y=x+10 or x-2y+10=0)
Hannah will earn $240 in 20 hours
Explanation: Since it tells you she earns $48 in 4 hours, you have to find how much she earns in 1 hour. So you do 48 divided by 4 (12) and that is how much she earns in 1 hour. Since the question is, how much does she earn in 20 hours, you multiply 12 x 20 and that equals 240 which means she earns $240 in 20 hours
Answer:
Step-by-step explanation:
Let m = Number of months
Combined charges for music sharing service = 25+6m
Cost of joining to company = $70
According to the question,
Combined charges > Cost of joining to company (To find number of months it would take for this)
(required inequality)
40/16 = 24/x
16*24 = 384
x = 384 / 40
x =9.6
it cast a shadow 9.6 feet long