2x+3y=60 solve for x...
x=(60-3y)/2
p=xy^3, using x from above:
p=y^3(60-3y)/2
p=(60y^3-3y^4)/2
dp/dy=(180y^2-12y^3)/2
dp/dy=90y^2-6y^2
dp/dy=0 when:
90y^2-6y^3=0
6y^2(15-y)=0, we know y>0 so
y=15, since x=(60-3y)/2
x=7.5
(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
the length is 3W cm. THerefore, the perimeter is 2*(3W + W) = 8W = 56 So W = 7 cm.
Answer:
the answer is 60 not 42 goodluck
Answer: 3/2
Step-by-step explanation:
We can start by converting 3 1/3 to an improper fraction. Since 3 is equal to 9/3, 3 1/3 would be equal to 9/3 + 1/3 = 10/3.
Therefore, we are doing 
.
Dividing 5 by 10/3 is the same as multiplying 5 and the reciprocal of 10/3, which is 3/10.
5*3/10 = 15/10 = 3/2.
A bar model can be used to a subtraction problem by showing how much of it your actually losing or winning so subtract the totals and you have gotten your answer.
