Answer:
1,215 Superscript one-fifth x
Step-by-step explanation:
Given:
The expression to simplify is given as:
![(\sqrt[5]{1215})^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7B1215%7D%29%5Ex)
We know that,
![\sqrt[n]{a} = a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3D%20a%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Here, 
So, ![\sqrt[5]{1215} = 1215^{\frac{1}{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B1215%7D%20%3D%201215%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D)
So, the above expression becomes:
Now, using the law of indices 
Here, 
So, the expression is finally simplified to;

Therefore, the second option is the correct one.
= 1,215 Superscript one-fifth x
Answer:
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
so
9x + 3 + 11x - 21 + 5x - 2 = 180
25x = 180 - 3 + 21 + 2
25x = 200
x = 200 : 25
x = 8
----------------
E = 9 * 8 + 3 = 75°
D = 5 * 8 -2 = 38°
F = 11 * 8 - 21 = 67
-------------------------
check
75 + 37 + 67 = 180°
Answer: The correct option is B, i.e., 40 miles per hour.
Explanation:
Let the speed of bus in the afternoon route be x.
From the given information the average speed is 12 miles per hour less than the afternoon route. So, the speed of bus in the morning route is x-12.

So,

Time taken by bus in morning route is,

Time taken by bus in afternoon route is,

Since it is given that the time is same, so





Since x represents the speed of bus in afternoon route, therefore the correct option is B, i.e., 40 miles per hour.
Composite numbers more than 2 numbers can go into it like 4 numbers that can go into 4 are 1,2,4
Answer:
A,D
Step-by-step explanation:
5x4x6=120
10x3x4=120