Answer:
The solution is 
Step-by-step explanation:
We solve this question using exponential properties.
We have that:

Simplifying:

![([\frac{5}{2}]^{2})^{3x} = (\frac{2}{5})^{5}](https://tex.z-dn.net/?f=%28%5B%5Cfrac%7B5%7D%7B2%7D%5D%5E%7B2%7D%29%5E%7B3x%7D%20%3D%20%28%5Cfrac%7B2%7D%7B5%7D%29%5E%7B5%7D)

Changing the numerator and denominator in the right side:

Since both bases are equal:


The solution is 
Answer:
43
Step-by-step explanation:
Let's call this number x. The word sum means addition, so we can write x + 21 = 64. When we subtract 21 from both sides, we get x = 43. Hope this helps!
I think the answer is A
hope that helps!
Answer:
Possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.
Step-by-step explanation:
Let the length of the silk fiber = x yards.
Let the number of silk fibres = a.
It is given that the silk fibers between 3 to 10 yards are combined to form a silk thread of 300 yards.
So, we get the equation,
, where 
i.e.
, 
So, the possible values of 'a' are 3, 4, 5, 6 an 10.
Thus, the possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.