Answer:
Step-by-step explanation:
1) Percentage of blue = ![\frac{6}{36} *100\\=16.67%\\=17%](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B36%7D%20%2A100%5C%5C%3D16.67%25%5C%5C%3D17%25)
True
2) Organe has the least number and hence true
3) Yes. 36 students represent 100% of the data set
4) violet has 12 i.e. 12/36 =1/3 of the total. Hence true.
5) There are 7 colours and hence 7 segments. Hence false.
Answer:
![11\sqrt{2} - 5\sqrt{7}](https://tex.z-dn.net/?f=11%5Csqrt%7B2%7D%20-%205%5Csqrt%7B7%7D)
Option (A) is the correct answer.
Step-by-step explanation:
![9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}](https://tex.z-dn.net/?f=9%5Csqrt%7B2%7D%20-%203%5Csqrt%7B7%7D%20%2B%20%5Csqrt%7B8%7D%20-%20%5Csqrt%7B28%7D)
Now, ![\sqrt{8} = \sqrt{2 \times 2 \times 2} = 2\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D%20%3D%20%5Csqrt%7B2%20%5Ctimes%202%20%5Ctimes%202%7D%20%3D%202%5Csqrt%7B2%7D)
![\sqrt{28} = \sqrt{2 \times 2 \times 7} = 2\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B28%7D%20%3D%20%5Csqrt%7B2%20%5Ctimes%202%20%5Ctimes%207%7D%20%3D%202%5Csqrt%7B7%7D)
∴ ![9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}](https://tex.z-dn.net/?f=9%5Csqrt%7B2%7D%20-%203%5Csqrt%7B7%7D%20%2B%20%5Csqrt%7B8%7D%20-%20%5Csqrt%7B28%7D)
= ![9\sqrt{2} - 3\sqrt{7} + 2\sqrt{2} - 2\sqrt{7}](https://tex.z-dn.net/?f=9%5Csqrt%7B2%7D%20-%203%5Csqrt%7B7%7D%20%2B%202%5Csqrt%7B2%7D%20-%202%5Csqrt%7B7%7D)
= ![9\sqrt{2} + 2\sqrt{2} - 3\sqrt{7} - 2\sqrt{7}](https://tex.z-dn.net/?f=9%5Csqrt%7B2%7D%20%2B%202%5Csqrt%7B2%7D%20-%203%5Csqrt%7B7%7D%20-%202%5Csqrt%7B7%7D)
= ![11\sqrt{2} - 5\sqrt{7}](https://tex.z-dn.net/?f=11%5Csqrt%7B2%7D%20-%205%5Csqrt%7B7%7D)
Therefore option (a) is the correct answer.
If you divide all of them together starting inside of the parentheses you will get the wrong answer bc I’m just typing random thing
The answer is $120. To determine this, you will represent the situation as an equation:
4(200 + 5x) = 3200. I came up with this because it says he started with 200 and added a fixed amount every month for 5 months (5x). If the check was 3 times the amount he already had saved, then he has 4 times what he started with.
His goal was $3000, but he has $200 more than that, so $3200 would be the amount he has.
I have attached the work showing how to solve for x, the amount he depositors each month.