The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
Answer:
b. 63 units
Step-by-step explanation:
The breakeven point occurs when the revenue is equal to the expenses. It means that the profit is 0. So, for the Basic model, the revenue is the sell less the costs: $41 - $15 = $26.For the Deluxe model, the revenue per unit is 0 ($45 - $45).
So, calling x the Basic model units, ad y the Deluxe model units, the total revenue will be: 26x, which must be equal to the expenses = $1,310.40:
26x = 1310.40
x = 50.4 units
y = x/4, because for 1 Deluxe model four Basic models are selled.
y = 50.4/4 = 12.6 units
The total units for breakeven point is 50.4 + 12.6 = 63 units.
Answer:
71/8
8.875
8 7/8
Step-by-step explanation:
Answer:
como es naturaleza HeS los de rosfentes lo 27
Answer:
Step-by-step explanation:
hello :
-3(4w-3)= - 12w+9
