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:
Step-by-step explanation:
Of course it is MEGA, it is a common sense for everyone to know that buying bigger bulk results in cheaper price. But I will do the math for you:
MEGA size: 5 / 29.4 = 0.17 dollars per pound
Family size: 3.64 / 19.5 = 0.19 dollars per pound
so it is MEGA
560 / 28 = 20....so the driver travels 20 miles per gallon
on 35 gallons......35 * 20 = 700 miles <==
or u can also do it this way...
560/28 = x / 35....560 miles to 28 gal = x miles to 35 gal
cross multiply because this is a proportion
(28)(x) = (560)(35)
28x = 19600
x = 19600/28
x = 700 miles <==
so u can either do it by finding the unit rate or by making a proportion. either way will result in the same answer.
How much turkey is in the pie?
The mass of the turkey in the pie is 1/4 of the weight of the chicken
200/4 = 50 grams
Answer:
AYYYYY IREADY! memoriesヾ(≧▽≦*)o
ALright the answer is yes, and she will have $1 left.
