Answer:
132.233 ft2
Step-by-step explanation:
Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:



And the area of the rectangle is:

If the perimeter of the window is 41 feet, we have:



Now, the equation for the total area of the window is:



To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

Answer:
27 weeks.
Step-by-step explanation:
You need to calculate the minimun common multiple between the three times.
1 week = 1^1 week
9 weeks = 3^2 weeks
27 weeks = 3^3 weeks
You take the 1 and the 3 with the biggest exponent and multiply. In this case is 1^1*3^3 = 27. So, in 27 weeks the pkanets will all be in alignment.
Answer:
Equations:
--- Cindy
--- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:

per minute
Total number of flashcards (y) in x minutes is:



Ruben:
per minute
Total number of flashcards (y) in x minutes is:



Solution to Equations:
Time they have the same amount.
To do this, we
expressions
i.e.

Collect Like Terms


Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.



or




Answer:
The answer is 9
Step-by-step explanation:
600,000, 50,000, 9,000, 200, 30, 4
Answer:
The sum of a number, which I have named 'n', and 7 can be written as the expression:
n+7
remember the word 'is' in a written problem indicates where you'll most likely use an =,≥,≤ sign. Since they say that it is 'no more than' we know that n+7 is less than or equal to the given number, so we use '≤'.
n+7≤ 1
Step-by-step explanation: