Answer:
The volume is 
Step-by-step explanation:
we know that
The volume of the sphere is equal to

we have
----> the radius is half the diameter

substitute the values

Answer:
x=1
y=-4
Step-by-step explanation:
4x+y=0 -> y= -4x
2(-4x)+x=-7
-8x+ x=-7
-7x=-7
x=-7/-7=1
y=-4 . 1 = -4
Answer:
Option A.
Step-by-step explanation:
Let M be the milk per gallon.
C be the cookies per dozen.
B be the bundle (one gallon of milk and a dozen cookies ).
Milk can be sold by itself for a profit of $1.50 per gallon. Cookies can likewise be sold at a profit of $2.50 per dozen and bundle is sold for a profit of $3.00 per bundle.

We need to maximize the profits. So, our objective function is
Therefore, the correct option is A.
Answer: 4
Step-by-step explanation:
9514 1404 393
Answer:
8
Step-by-step explanation:
The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.
(5 workers) × (8/5) = 8 workers
8 workers are needed to complete the project in 15 days.