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 answer should be 12 units^2
starting from the left side of the shape you multiply base 2 by height 2 which gets 4 then divide by 2 since it is a triangle. next multiply 2x2 for the square in the middle which gets you 4. lastly multiply 6x2 for the triangle on the right which gets you 12 however bc it is a triangle you must divide by 2 and get 6. then add them all together and you get 12.
I think the answer is The perimeter!
Hey there,
#1 is D: 18 men and 30 women. The equation is: 12*m=48
#2 is B: Kathy drove 9 hours and Brain drove 3 hours. The equation is: 65m+55m/12=750
#3 is C: $0.86. The equation is: 2b+1h+1b+2h=8.52
#4 is B : 25 pizzas and 80 sodas. The equation is: 3*4p+5=260
:)
Answer:
D. 3/19
Step-by-step explanation:
12/1 = 12
12/2 = 6
12/3 = 4
These are the only ones that make the equation true.
There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.
