Okay, so these problems can be quite tricky because a lot of it is remembering little rules but let me tell you how you can figure out this one! :)
Also just a little warning is that I'm not quite good at remembering the math terms for different parts so please don't mind that :P
Alright, since G is the centroid then it is in the middle of BE! That means segment BE is cut into two different parts! A 1/3 part and a 2/3 part. You can probably tell by looking which part is which because 1/3 is less than 2/3.
Hopefully you get what I'm saying so far :)
Now since you know there are two parts (a 1/3 and 2/3 segmet of BE). You can just figure each of them out considering you know BE's whole length! So 1/3 of 9 is 3 and 2/3 of 9 is 6. SO the 1/3 section is equal to 3 and the 2/3 section is equal to 6!!!! Now you practically have your answer right there!
Notice that the bigger part is segment GE (the 2/3 part) and the smaller part is BG (the 1/3 part). Since you know the 1/3 and 2/3 equal and what segment they are you have the answer!
BG = 3 and GE = 6
I really hope that helps! ^-^ Let me know if you have any questions! :3
- mathwizzard3
To find the volume of a cube from its surface area, first use the formula for surface area to find the length of one side of your cube. To do this, plug the surface area you're given into the formula, which is surface area = 6x^2, where x is the length of one side of the cube. Then, solve for x.
Answer:
The number of adult admissions was 12 and the the number of child admissions was 17
Step-by-step explanation:
Let
a ----> represent the number of adult admissions
c ----> represent the number of child admissions
we know that
A group of 29 people attending the zoo paid a total of $222 in admission fees
so
![a+c=29](https://tex.z-dn.net/?f=a%2Bc%3D29)
----> equation A
----> equation B
Solve using the substitution method
substitute equation A in equation B
![10(29-c)+6c=222](https://tex.z-dn.net/?f=10%2829-c%29%2B6c%3D222)
solve for c
![290-10c+6c=222\\4c=68\\c=17](https://tex.z-dn.net/?f=290-10c%2B6c%3D222%5C%5C4c%3D68%5C%5Cc%3D17)
Find the value of a
![a=29-17=12](https://tex.z-dn.net/?f=a%3D29-17%3D12)
therefore
The number of adult admissions was 12 and the the number of child admissions was 17