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Answer:
16 pieces of pizza when the pizza was whole.
Step-by-step explanation:
You know that 6 pieces are equal to 3/8 of the pizza.
Let x represent the total number of pieces and write an equation:
3
-- times x = 6
8
Multiply each side of the equation by 8:
8 times 3
-- x = 8 times 6
8
3x = 48
Divide each side of the equation by 3:
3x 48
--- = ---
3 3
x = 16
Sqrt 11 is approximately 3.31662479036
So make a line from about -5 to 5 and just estimate where that could be, between the numbers 3 and 4, make sure you mark that that is sqrt 11
Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
From The picture 2 barrels = 73 gallons
Divide by 2 for gallons per barrel:
73/2 = 36.5 gallons per barrel
Multiply gallons per barrel barrels:
36.5 x 0.045 = 1.6425 gallons.
Rounded to 2 decimals = 1.64
