X/8 = 19/13 => x = (8*19)/13 = 11.69 inches long;
Answer:
$7,562.5
Step-by-step explanation:
Given the function of the profit earned expressed as;
<em>f(p) =-40p^2+1100p</em>
To maximize the profit, df(p)/dp must be sero
df(p)/dp = -80p + 1100 = 0
-80p + 1100 = 0
-80p = - 1100
p = 1100/80
p = 13.75
Substitute p = 13.75 into the function
f(13.75) =-40(13.75)^2+1100(13.75)
f(13.75) = -7,562.5+15,125
f(13.75) = 7,562.5
Hence the symphony should charge $7,562.5 to maximize the profit.
38.71428571428571 or 38.7
Answer:
x=18
Step-by-step explanation:
Isolate the variable
2/3 x=12
divide by 2/3
x=18
Answer: biggest no.=27. Smallest number=9
Step-by-step explanation:
Let's take the smallest number as x and the biggest number as 3x since it is 3 times bigger than x.
The sum of these two numbers is 36
3x+x=36
4x=36
X( smallest number)=36/4: 9
While, the biggest number is 3x: 3×9=27
