1- Price of each carton:
Since they both bought different number of cartons of milk from the same store, we can simply find the price of one carton from the difference between what they both paid.
Since Tamara paid 3$ and Toe paid 3.75$, we can simply say that one carton of milk costs 0.75$ and that Toe bought one carton more than Tamra.
2- How many cartons each bought:
Tamra bought : 3 / 0.75 = 4 cartons
Toe bought : 3.75 / 0.75 = 5 cartons
Answer:
The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is 
then 
Step-by-step explanation:
• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.
• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.
• To find the printed area of billboard calculations are given below:
On taking the first order derivative of A
![\[A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)\]](https://tex.z-dn.net/?f=%5C%5BA%27%3D-6%2B%5Cleft%28%20%5Cfrac%7B90000%7D%7B%7B%7Bx%7D%5E%7B2%7D%7D%7D%20%5Cright%29%5C%5D)
• Hence ![\[x=10\sqrt{150}\]](https://tex.z-dn.net/?f=%5C%5Bx%3D10%5Csqrt%7B150%7D%5C%5D)
and ![\[y=\frac{900}{\sqrt{150}}\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B900%7D%7B%5Csqrt%7B150%7D%7D%5C%5D)
Learn More about Differentiation Here:
brainly.com/question/13012860
Answer:
6 socks
Step-by-step explanation:
What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.
There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:
12/24
and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:
11/23
the final probability is the multiplication of these events:
(12/24) * (11/23)
P = 0.24
Now, to know how many you should get, we multiply the probability by the total number of socks, that is:
0.24 * 24 = 5.76
So you must take out at least 6 socks for the above to happen.
Sum of two sides always greater than the third side
If c is the smallest number, then
5 + c > 7
c > 2
If c is the largest number, then
5+7>c
12>c
Adding c>2 and 12>c, you get 12>c>2 for the answer
