Answer:
C. x = -3
Step-by-step explanation:
-15x + 60 <= 105
-15x <= 45
-x <= 3
x >= -3
14x + 11 <= -31
14x <= -42
x <= -3
the only solution that is in both solution areas is x = -3.
for all other values of x we violate one of the 2 conditions.
Perimeter = Length+Length+Width+Width
OR
Perimeter = 2Length + 2Width
They will both get you the same answer.
Length = 14
Width = 8
P = 14 + 14 + 8 + 8 = 44 feet
Answer: D. 44 Feet
1,000 times great. 50,000/50 = 1000
The <em>correct answers</em> are:
It would take 5 months and she would save $250.
Explanation:
Let m be the number of months.
For the first way of saving, $200 up front and $10 each month, the expression would be
200+10m.
For the second way of saving, $100 up front and $30 each month, the expression would be
100+30m.
Setting them equal gives us the equation
200+10m = 100+30m
Subtract 10m from each side:
200+10m-10m = 100+30m-10m
200 = 100+20m
Subtract 100 from each side:
200-100 = 100+20m-100
100 = 20m
Divide both sides by 20:
100/20 = 20m/20
5 = m
It would take 5 months.
$200 up front and $10 each month for 5 months:
200+10m
200+10(5)
200+50
250
She would save $250.
Step-by-step answer:
The steps are much easier to follow when we know how many product it sells. The number does not really matter, because we need the profit per item.
Say, the company made and sold 100 items of the product.
The revenue = 100*5 = $500.
On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so
replacement cost = 2* 100 = 200
So net profit for 100 items = $500 -$200 = $300
Net profit for each item = $300/100 = $3.00
Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.
