Let the number be x. The equation x/5 - 17 = 48 leads to (x - 85)/5 = 48. Multiplying gives x - 85 = 240, so x = 240 + 85, resulting in x = 325.
Answer:
The amount of ovens that must be produced in a week to earn a $1610 profit is 70.
Step-by-step explanation:
Given:
A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:
with 0 ≤ x ≤ 200.
The target profit is $1610
So, set P = 1610, then solve for x:
Multiply both sides by 10:
Next, factor the quadratic:
Solving for x gives:
Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.
Hence, the valid solution is x=70.
Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.
Answer: The correct formulation is option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
Step-by-step explanation:
To calculate the area that needs painting in the theater room in square feet, follow these steps:
1. Calculate the area of the theater room
Length: x
Width: x-4
A (area of theater room) = x (x-4)
2. Calculate the area of the right triangle
Height: x-4
Base: 8
A (area of right triangle) = 0.5 (8) (x-4)
3. Calculate the area of the rectangle designated as a closet
Length: 8
Width: 4
A (closet) = 8 (4)
4. The painted area is calculated by subtracting the areas of the right triangle and the closet from the total area of the theater room:
A= A(theater room) - A(right triangle) - A (closet)
A = x (x-4) -0.5 (8) (x - 4) - 4 (8)
Thus, the proper equation to compute the area is option A.
