Answer: 2.815 kilograms
======================================================
Work Shown:
1 layer = 0.5 kg
5 layers = 5*(0.5 kg) = 2.5 kg
icing = 15 g = 15/1000 = 0.015 kg
1 candle = 100 g = 100/1000 = 0.1 kg
3 candles = 3*(0.1 kg) = 0.3 kg
------------------------
The five layers combine to 2.5 kg. On top of that we have 0.015 kg of icing, and then finally the three candles add 0.3 kg more weight.
The total weight is therefore: 2.5+0.015+0.3 = 2.815 kilograms
notice that the denominator can be factored into (x-3)(x+3).
Now you can cross out (x - 3) from the numerator and denomiantor resulting in a simplified fraction of 
Plug the limit value (which is 3) into the simplified fraction.
Answer: 
Width: W
length: L = 5W
Use the Pyth. Theorem to find the length of the diagonal:
|D| = sqrt(W^2 + [5W]^2) = sqrt(W^2 + 25W^2) = sqrt(26W^2), or
Wsqrt(26) (ans.)
V=hpir^2
h=4
r=1.25
v=4pi1.25^2
v=4pi1.5625
v=6.25pi
v=19.625
rounded to hundreth
v=19.63 ft³
Answer:
Length = 4 feet
Width = 4 feet
Step-by-step explanation:
The perimeter of a rectangle formula = 2L + 2W
Where L = Length
W = Width
The length of a rectangle is 8feet less than the width.
Hence,
L = 8 - W
The perimeter is 64 feet.
Hence,
64 = 2(8 - W) × 2W
64 =( 16 - 2W )2W
64 = -4W² + 32W
4W² - 32W + 64 = 0
Factorise
4W² - 16W - 16W + 64 = 0
4W (W - 4) - 16(W - 4) = 0
W - 4 = 0
W = 4
Width = 4
Solving for L
L = 8 - W
L = 8 - 4
L = 4
Therefore,
Length = 4 feet
Width = 4 feet
