If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
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In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
Answer:
12?
Step-by-step explanation:
you didnt mention how many cups of flour to make one bath but you need 12 cups of sugar for 4 batches
Answer:
100.
Step-by-step explanation:
100 + 0 = 100
100 ÷ 1 = 100
Answer:
Step-by-step explanation:
This is a proportion problem. I think you just lost a zero.
12/100 = 9/x Cross multiply
12x = 100*9 Combine the right.
12x = 900 Divide by 12
12x/12 = 900/12
x = 75 grams
So if you put 75 grams of tasty Oats in a bowl and covered it with milk the cereal would give you 9 grams of Protein.
2.
1 gram of Tasty Oats cereal contains 12/100 = 0.12 grams of protein.
1 gram of Cornbits contains 5/45 = 0.11 grams of protein.
By the narrowest of margins the Tasty Oats has more protein in it.
Answer:
4
Step-by-step explanation:
Amount spent on coffee = 70 - 39.56 = 30.44
One pound costs 7.61, how many will cost 30.44
7.61 : 1 = 30.44 : X
7.61 = 30.44/X
X = 30.44/7.61
X = 4
