Answer: 16 units
Step-by-step explanation:
i took the lesson
hope i helped you out!
Answer:
![2\sqrt[3]{3}-\sqrt[3]{18}](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7B3%7D-%5Csqrt%5B3%5D%7B18%7D)
Step-by-step explanation:
We first rationalize the denominator. This means we multiply the numerator and denominator by a factor that will make the denominator a whole number.
Our denominator is
; this can also be written as
.
For 9 to be a whole number, its exponent must be a whole number. We want to add 2/3 to the exponent of 9 on the bottom; this means we multiply by
:
On the numerator, this gives us:
6(9^(2/3))-3(6^(1/3))(9^(2/3))
= ![6\sqrt[3]{9(9)} -3\sqrt[3]{2(3)}(\sqrt[3]{9(9)}) \\\\=6\sqrt[3]{3(3)(3)(3)}-3\sqrt[3]{2(3)(3)(3)(3)(3)}\\\\=6(3)\sqrt[3]{3}-3(3)\sqrt[3]{2(3)(3)}\\\\=18\sqrt[3]{3}-9\sqrt[3]{18}](https://tex.z-dn.net/?f=6%5Csqrt%5B3%5D%7B9%289%29%7D%20-3%5Csqrt%5B3%5D%7B2%283%29%7D%28%5Csqrt%5B3%5D%7B9%289%29%7D%29%20%20%5C%5C%5C%5C%3D6%5Csqrt%5B3%5D%7B3%283%29%283%29%283%29%7D-3%5Csqrt%5B3%5D%7B2%283%29%283%29%283%29%283%29%283%29%7D%5C%5C%5C%5C%3D6%283%29%5Csqrt%5B3%5D%7B3%7D-3%283%29%5Csqrt%5B3%5D%7B2%283%29%283%29%7D%5C%5C%5C%5C%3D18%5Csqrt%5B3%5D%7B3%7D-9%5Csqrt%5B3%5D%7B18%7D)
On the denominator, we will have:
(9^(1/3))(9^(2/3)) = 9^(3/3) = 9^1 = 9
This gives us:
![\frac{18\sqrt[3]{3}-9\sqrt[3]{18}}{9}\\\\=2\sqrt[3]{3}-\sqrt[3]{18}](https://tex.z-dn.net/?f=%5Cfrac%7B18%5Csqrt%5B3%5D%7B3%7D-9%5Csqrt%5B3%5D%7B18%7D%7D%7B9%7D%5C%5C%5C%5C%3D2%5Csqrt%5B3%5D%7B3%7D-%5Csqrt%5B3%5D%7B18%7D)
Answer:
2 pounds
Step-by-step explanation:
pounds of white candy: 8.25 - (2.5 + 3.75) = 8.25 - 6.25 = 2
Answer: They are the same or equal to each other.
Step-by-step explanation:
Hope this helps.
Answer:
$80.73
Step-by-step explanation:
First, find 35% of 115.
35% as a decimal is 0.35 (35/100)
0.35 x 115 = 40.25
Now, subtract 40.25 from 115.
115 - 40.25 = 74.75
Now, to find the sales tax, find 8% of 74.75.
8% as a decimal is 0.08 (8/100)
0.08 x 74.75 = 5.98
Now, subtract add 5.98 to 74.75
5.98 + 74.75 = 80.73