ANSWER
![(4n - 1)\sqrt{3 n} + 3\sqrt{n}](https://tex.z-dn.net/?f=%284n%20-%201%29%5Csqrt%7B3%20n%7D%20%2B%203%5Csqrt%7Bn%7D)
EXPLANATION
The given expression is
![\sqrt{48 {n}^{3} } + \sqrt{9n} - \sqrt{3n}](https://tex.z-dn.net/?f=%20%5Csqrt%7B48%20%7Bn%7D%5E%7B3%7D%20%7D%20%20%2B%20%20%5Csqrt%7B9n%7D%20%20-%20%20%5Csqrt%7B3n%7D%20)
We remove the perfect squares under the radical sign.
![\sqrt{16 {n}^{2} \times3 n} + \sqrt{9n} - \sqrt{3n}](https://tex.z-dn.net/?f=%5Csqrt%7B16%20%7Bn%7D%5E%7B2%7D%20%20%5Ctimes3%20n%7D%20%20%2B%20%20%5Csqrt%7B9n%7D%20%20-%20%20%5Csqrt%7B3n%7D%20)
We can now take square root of the perfect squares and simplify them further.
![\sqrt{16 {n}^{2}} \times \sqrt{3 n} + \sqrt{9} \times \sqrt{n} - \sqrt{3n}](https://tex.z-dn.net/?f=%20%5Csqrt%7B16%20%7Bn%7D%5E%7B2%7D%7D%20%20%20%5Ctimes%20%5Csqrt%7B3%20n%7D%20%2B%20%20%20%5Csqrt%7B9%7D%20%5Ctimes%20%20%5Csqrt%7Bn%7D%20%20-%20%20%5Csqrt%7B3n%7D%20)
This simplifies to:
![4n\sqrt{3 n} + 3\sqrt{n} - \sqrt{3n}](https://tex.z-dn.net/?f=4n%5Csqrt%7B3%20n%7D%20%2B%203%5Csqrt%7Bn%7D%20%20-%20%20%5Csqrt%7B3n%7D%20)
This further simplifies to:
![(4n - 1)\sqrt{3 n} + 3\sqrt{n}](https://tex.z-dn.net/?f=%284n%20-%201%29%5Csqrt%7B3%20n%7D%20%2B%203%5Csqrt%7Bn%7D%20)
Answer:
![2.75](https://tex.z-dn.net/?f=2.75)
Step-by-step explanation:
<u>Step 1: Determine the median</u>
![0.8, 1.0, 2.7, 2.8, 3.1, 13.3](https://tex.z-dn.net/?f=0.8%2C%201.0%2C%202.7%2C%202.8%2C%203.1%2C%2013.3)
The median of a set is the middle of the set. In this instance, we have 6 numbers so we don't have a number directly in the set representing the median. Instead, we need to find the average or middle between the 3rd and 4th number. So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.
Answer: ![2.75](https://tex.z-dn.net/?f=2.75)
Answer:
answer is 175
Step-by-step explanation:
i solved it by similarity in triangle small triangle and big triangle are similar to each other.
30b+3= s
It would be thirty students times the number of buses, with an addition of 3 students equal to the total number of students when on the field trip.
I hope this helps!
~cupcake
Answer:
![y = 7x](https://tex.z-dn.net/?f=y%20%3D%207x)
Step-by-step explanation:
Look at the term:
"y is seven times the value of x."
This term means that whatever x is, y is always going to be 7 times greater than that number. Meaning that x needs to always be multiplied by 7 to get y, easy.
Make 7 the coefficient.
![7x](https://tex.z-dn.net/?f=7x)
![7x = y](https://tex.z-dn.net/?f=7x%20%3D%20y)