Simplified expression for total amount spent is 10(2.05 + m)
Step-by-step explanation:
- Step 1: Write expression for expense on joining cooking club for m months.
Expense = 8.50 + 6.25 × m
- Step 2: Write expression for expense on joining movie club for m months.
Expense = 12 + 3.75 × m
- Step 3: Calculate the total amount spent on both clubs
Total Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)
Answer:
The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.
The amount of money Blake have in the end is 3560 + (2740 - x)
In the game Amanda had $2740 in play money and Blake had $3560 in play money.
Amanda had to give some money she possessed.
Let
what remains after Amanda gave the money = x
Therefore, Blake will have the following money at the end .
The amount she gave to Blake = (2740 - x)
Blake money = 3560 + (2740 - x)
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Answer:
The problem is stated as:
Min C = 15*(2*x +y) + 21*y
subject to x*y = 450
Step-by-step explanation:
Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:
A = x*y = 450
One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:
C = 15*(2*x +y) + 21*y
Answer:
The height of the window is <u>38 inches</u>.
Step-by-step explanation:
Given:
A window is shaped like a parallelogram.
The base is 16 inches long.
The area is 608 square inches.
Now, to find the window's height.
Let the height be 
The area = 608 square inches.
The base (
) = 16 inches.
Now, to get the height of the window we put formula:

<u><em>Thus, the height is 38 inches.</em></u>
Hence, the height of the window is 38 inches.