The product of three and a number (3n) is 12 more than (=12 +) the sum of the number and 26 (n + 26). Put all of those together.
2n = 12 + n + 26 Combine like terms. (12 + 26)
2n = 28 + n Subtract to get the variables together. (2n - n)
n = 28
To find the sales tax rate, you need to find what percentage of the base price the difference in cost is.
First, subtract 22.99 from 24.10:
24.1-22.99=1.11
Now, divide 1.11 by 22.99:
1.11/22.99=0.0483
Multiply 0.0483 by 100 to convert the decimal to a percentage:
0.0483*100=4.83
The sales tax rate was 4.83%.
Hope this helps!!
Kudos to the poster on the typeset math.
With cube roots we don't have to worry that things are positive.
![\sqrt[3]{16 x^4} - \sqrt[3]{128 x} = \sqrt[3]{2^4 x^4} - \sqrt[3]{2^7 x} = \sqrt[3]{2^3 x^3 2x} - \sqrt[3]{4^3 2 x} = 2x\sqrt[3]{2x} - 4\sqrt[3]{2 x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B16%20x%5E4%7D%20-%20%5Csqrt%5B3%5D%7B128%20x%7D%20%3D%20%20%5Csqrt%5B3%5D%7B2%5E4%20x%5E4%7D%20-%20%5Csqrt%5B3%5D%7B2%5E7%20x%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E3%20x%5E3%202x%7D%20-%20%5Csqrt%5B3%5D%7B4%5E3%202%20x%7D%20%3D%202x%5Csqrt%5B3%5D%7B2x%7D%20-%204%5Csqrt%5B3%5D%7B2%20x%7D)
![= (2x-4)\sqrt[3]{2 x}](https://tex.z-dn.net/?f=%3D%20%282x-4%29%5Csqrt%5B3%5D%7B2%20x%7D%20%20%20)