Answer:
9/13
Step-by-step explanation:
Everything that crossed the equal sign past with an opositive value.
41-23=18
27-p= 26
18/26
9/13
First multiply them out to improper fractions 1 3/5 changes into 8/5 and 1 2/5 changes into 7/5 multiply them out and you should get 2 6/25.
Answer:
discount = 290 × <u>1</u>
4
= 72.50
new price is
290.00
<u>72.50</u> -
217.50
To solve this problem you must apply the proccedure shown below:
1. You must use the formula for calculate the surface area and the volume of the tank:

2. Solve for
in the second equation and substitute it into the first one.Then, you have:

3. Now, derivate:

4. When you solve for
, you obtain:
![2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03](https://tex.z-dn.net/?f=%202x%5E%7B3%7D-256%3D0%5C%5C%20x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B256%7D%7B2%7D%7D%20%20%5C%5C%20x%3D5.03%20)
5. Now, you must calculate
:

Therefore, the dimensions are:
The sides of the base of the tank: 
The height of the tank: 
For this case we have that by definition of properties of powers and roots, it is fulfilled that:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:
![\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {\frac {1} {2}} {4} x} = 9 ^ {\frac {1} {8} x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7B9%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B2%7D%20x%7D%7D%20%3D%209%20%5E%20%7B%5Cfrac%20%7B%5Cfrac%20%7B1%7D%20%7B2%7D%7D%20%7B4%7D%20x%7D%20%3D%209%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B8%7D%20x%7D)
So, we have to:
![\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {1} {8} x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7B9%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B2%7D%20x%7D%7D%20%3D%209%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B8%7D%20x%7D)
Answer:

Option B