Answer:
C. In step 3, he should have divided both sides by Start Fraction 6 Over 4 End fraction.
Step-by-step explanation:
got it right edge 2021
Hey ! I know for sure A is one of the correct answers i’m working on the rest now
I’m not that sure about my answer, but if I’m not wrong:
Total cost with 6 snacks: 78$
Total cost with x snacks: anything above 60$
Answer:
A) Radius: 3.44 cm.
Height: 6.88 cm.
B) Radius: 2.73 cm.
Height: 10.92 cm.
Step-by-step explanation:
We have to solve a optimization problem with constraints. The surface area has to be minimized, restrained to a fixed volumen.
a) We can express the volume of the soda can as:
This is the constraint.
The function we want to minimize is the surface, and it can be expressed as:
To solve this, we can express h in function of r:
And replace it in the surface equation
To optimize the function, we derive and equal to zero
The radius that minimizes the surface is r=3.44 cm.
The height is then
The height that minimizes the surface is h=6.88 cm.
b) The new equation for the real surface is:
We derive and equal to zero
The radius that minimizes the real surface is r=2.73 cm.
The height is then
The height that minimizes the real surface is h=10.92 cm.
Find the unit rate: 24 water bottles ÷ 6 dollars total = $0.25 a water bottle
Next, take the rate per water bottle and multiply it by ten: $0.25 a water bottle x 10 bottles of water = $2.50 total
So, this gives you your final answer. Ten bottles of water cost you $2.50!