Answer:
27 by 27
Step-by-step explanation:
Let the sides be x and y. The problem is essentially asking:
Given 2(x+y)=108, maximize xy.
We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that 
. Substituting in x+y=54, we get 
, meaning that 
. Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.
To solve an equation, we should isolate the variable by doing the reverse operations and simplify. It is sometimes easier to simplify at the beginning, and then again at the end.
-17=n-5+3n
-17=-5+4n
+5 +5
-12=4n
/4 /4
-3=n
Using the math above, we can see that n=-3.
Answer:
4 yd².
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 2⅔ yards
Width (W) = 1½ yards
Area (A) =.?
The area of the piece of fabric that Roberto needs can be obtained by using the formula for calculating the area of a rectangle. This is illustrated below:
Area (A) = Length (L) × Width (W)
A = 2⅔ × 1½
A = 8/3 × 3/2
A = 8 × ½
A = 4 yd²
Thus, the area of the piece of fabric that Roberto needs is 4 yd²
Its right,vertical,and complementary.Hope this helps you a bunch!
Game
Using these variables, we can set up equations.
3x + 5y = 42
9x + 7y = 72
We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.
Multiply eq1 by 3. Keep eq2.
9x + 15y = 126 eq1
9x + 7y = 72 eq2
Subtract eq2 from eq1 to eliminate the x terms.
8y = 54
y = 6.75
