-x = -1. Anything “X” equals to the number One. So do Y = -1 + 1.
Hello!
To find out if this food is enough we will add together all of the prices and multiply it by three to see if it is enough.
3(4.89+5+8.49)=55.14
Yes! They will have enough money with $4.86 to spare!
I hope this helps!
The length should be 80 feet.
This is because the width is 20 since there are two sides for the width in pen, we have to add 20+20. This would equal 40. Then we need to subtract 40 from 200. 200-40 would be 160. Then since there are two sides for the length, we need to split that in half. 160÷2 would be 80. To double check, you can do 80+80, and that would still be 160. So the length of one side would be 80. But of course, this whole thing would only be right if the pen has four sides(but since I have seen many chicken pens, there were all rectangular)
(C)
Step-by-step explanation:
The volume of the conical pile is given by

Taking the derivative of V with respect to time, we get


Since r is always equal to h, we can set

so that our expression for dV/dt becomes


Solving for dh/dt, we get



The number of seats sold cannot be negative, so you have
... x ≥ 0, y ≥ 0
The limits on numbers of seats must be observed, so you have
... y ≤ 2000
... x + y ≤ 3000
And the revenue constraint must be met:
... 35x + 50y ≥ 90,000
Together, these inequalties are ...
{x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}