Who is taking in more calories if the small bag of snickers are the exact same size: A person in a group where 5 people are shar
1 answer:
Answer:
A person in a group where 5 people are sharing 3 small bags of snickers
Step-by-step explanation:
Let the number of calories in one bag of snickers =x
Number of calories in 3 small bags of snickers =3x
- If 5 people share 3 small bags of snickers, 1 person's share
Number of calories in 2 small bags of snickers =2x
- If 7 people share 2 small bags of snickers, 1 person's share
We then compare the two.
Let x=1
Therefore, a person in a group where 5 people are sharing 3 small bags of snickers gets more calories.
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Answer:
For least material to be used lengths of square base and sides = 10 units.
Step-by-step explanation:
Let the lengths of the square base and the sides = x feet, x feet and y feet
Area of the square base = x² feet
Volume of the rectangular prism = Area of the square base × Height
= x²y cubic feet
1000 = x²y
y = -------(1)
Material used in the prism = Surface area of the rectangular prism
= 2(lb + bh + hl)
Here, h = height of the prism
l = length of the base
w = Width of the base
Material to be used (S) = 2(xy + x² + xy) - Area of lid
S = 2(x² + 2xy) - x²
S = x² + 2xy
Now by substituting the value of y from equation (1),
S = x² +
= x² +
For least amount of material used,
We will find the derivative of the given function and equate it to zero.
S' = 2x -
2x - = 0
2x³ = 2000
x³ = 1000
x = 10 feet
From equation (1),
y =
y = 10 feet
Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.