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.
_____
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.
Hello,
Your answer would be:
75%
Plz mark me brainliest
Yes the answer is not 4/7 its 7/4
Answer:
The two linear equation
x + y = 19.... Equation 1
0.55x + 0.75y = 12.65... Equation 2
Nedra purchased
9 Apples and 11 Oranges
Step-by-step explanation:
Nedra purchased apples and oranges at the grocery store. which two linear equations can be used to find the number of apples and oranges?
Let the number of apples be represented by x
The number of oranges by represented by y.
Hence,
Apples are $0.55 each and oranges are $0.75 each. If she spent a total of $12.65 for 19 pieces of fruit,
Hence:
x + y = 19..... Equation 1
x = 19 - y
$0.55 × x + $0.75 × y = $12.65
0.55x + 0.75y = 12.65.....Equation 2
Hence: we substitute 19 - y for x in Equation 2
0.55(19 - y) + 0.75y = 12.65
10.45 - 0.55y + 0.75y = 12.65
-0.55y+ 0.75y = 12.65 - 10.45
0.20y = 2.2
y = 2.2/0.20
y = 11 oranges
x = 19 - y
x = 19 - 11
x = 8 Apples
