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.
No he isn't..
. 7×10=7
for each time it's multiplied by ten, the decimal point goes back one.
Answer:
Each child would get $8.00.
Step-by-step explanation:
An equation to represent this would be:
40/5
When you divide 40 by 5, you get 8 which results in the children each getting $8.00
Answer:
9 3/4
Step-by-step explanation:
Pounds of bananas=2 7/8
=23/8
Pounds of apple=3 1/2
=7/2
2 bags of oranges=2 3/4 each
11/4 each.
Total pounds of oranges=2(11/4)
=22/4
Total pounds of fruits Marisol bought from the market=pounds of bananas+pounds of apples+pounds of oranges
=28/8+7/2+22/8
Find the L.C.M and add them
The L.C.M=8
Total pounds of fruits =28+28+22/8
=78/8
=9 6/8
Equivalent to
9 3/4
