Answer:
50%
Step-by-step explanation:
To find the percent increase, divide the increase by the original value.
The increase is $40.
The original value is $80.
40÷80 = 0.5
0.5 ⇒ 50%
It is a 50% increase.
A and D because the text states the moon rises from the east and sets in the west, but it can rise earlier in the day when the sun is brighter than the moon so you can't see the moon.
Area is equal to length times width. The perimeter (the amount of rope) has to equal twice the length added to twice the width so we're left with:
A = l * w
200 = 2l + 2w
solve for either l or w
l = 100 - w
plug into the area equation to get one equation with two variables
A = w(100 - w)
A = -w^2 + 100w
take the derivative
A' = -2w + 100
set the derivative equal to zero
0 = -2w + 100
2w = 100
w = 50
This is the width that maximizes the area
with a width of 50, the length must also be 50 to have a perimeter of 200
therefore, they can rope up to 50 * 50 = 2500 ft^2
Answer: Yes you will still get a true statement because 3 is the solution to the equation.
Step-by-step explanation:
Well substitute 3 for x into the equation and solve for to see if they equal each other.
12 = 5(3) - 3
12 = 15 - 3
12 = 12
So if you substitute 3 you get the solution .
Now solve for x in the real equation to see if you get 3.
4x + 12 = 9x -3
-4x -4x
12 = 5x -3
+3 +3
15 = 5x
x = 3
The perimeter is 32 cm.
The length is 10, and the width is 6. (10x2) + (6x2) = 32
