AE is about half of AC. What I did was get half of 28, which is 14, and represented one of the numbers.
3 x 7 = 21 - 7 = 14
It is D.
(I don't know for sure if this is right, but I did the best I could)
Answer: The second one, 10 rolls for $12. 1.29 (Rounded)
Step-by-step explanation:
14/18 is 1.29 (Rounded)
10/12 is 1.20.
The unit rate is cheaper, therefore making it the better buy
Gas for lawn mower ... $2.25
mowing neighbor's yard ... $15.00
Julia's profit ... x
<span>We would like to know what is the value of the x.
x = $15.00 - $2.25 = $12.75
Result: Julia's profit is $12.75.
</span>
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.
I believe that the answer is 0.32 Hope this Helps:)))
8 divided by 25 = 0.32