Step-by-step explanation:
eggs used : 50-12= 38 eggs
![\frac{38 \: eggs}{12 \: batches} = 3.1667eggs \: per \: batch](https://tex.z-dn.net/?f=%20%5Cfrac%7B38%20%5C%3A%20eggs%7D%7B12%20%5C%3A%20batches%7D%20%20%3D%203.1667eggs%20%5C%3A%20per%20%5C%3A%20batch)
"one" will fill both blanks.
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
![m \propto\ r^3](https://tex.z-dn.net/?f=m%20%5Cpropto%5C%20r%5E3)
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
![m = kr^3](https://tex.z-dn.net/?f=m%20%3D%20kr%5E3)
Given
r=3,m=216
Putting the values
![216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8](https://tex.z-dn.net/?f=216%20%3D%20k%283%29%5E3%5C%5C216%20%3D%20k%20%2A%2027%5C%5Ck%20%3D%20%5Cfrac%7B216%7D%7B27%7D%5C%5Ck%20%3D%208)
The equation will now become
![m = 8r^3](https://tex.z-dn.net/?f=m%20%3D%208r%5E3)
Putting r = 5
![m = 8(5)^3\\m = 8 * 125\\m = 1000](https://tex.z-dn.net/?f=m%20%3D%208%285%29%5E3%5C%5Cm%20%3D%208%20%2A%20125%5C%5Cm%20%3D%201000)
Hence,
The value of m is 1000 for r=5
Step-by-step explanation:
To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
Hope this helps!
All the love, Ya boi Fraser :)
440 x 10 = 4,400. Yes 4,400 is 10 times as much as 440