Answer:
x<−0.00325153
x> 0.00325153
Step-by-step explanation:
-1/2 (3^(2)+7) x >32
-1/2 (3^(9) x >32
-1/2 (19683) x >32
-9841.5 x >32
x<−0.00325153
x> 0.00325153
Answer:
32 one-dollar bills.
Step-by-step explanation:
Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.
He has a total of 49 bills. Therefore:
![x+y=49](https://tex.z-dn.net/?f=x%2By%3D49)
The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:
![1x+2y=66\\x+2y=66](https://tex.z-dn.net/?f=1x%2B2y%3D66%5C%5Cx%2B2y%3D66)
We have a system of equations. Solve by substitution:
![x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32](https://tex.z-dn.net/?f=x%2B2y%3D66%5C%5Cx%2By%3D49%5C%5Cx%3D49-y%5C%5C%2849-y%29%2B2y%3D66%5C%5Cy%3D17%5C%5Cx%3D49-17%3D32)
Therefore, James has 32 one-dollar bills and 17 two-dollar bills.
Checking:
![32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49](https://tex.z-dn.net/?f=32%281%29%2B17%282%29%5Cstackrel%7B%3F%7D%7B%3D%7D66%5C%5C32%281%29%2B17%282%29%5Cstackrel%7B%5Ccheckmark%7D%7B%3D%7D66%5C%5C%5C%5C32%2B17%5Cstackrel%7B%3F%7D%7B%3D%7D49%5C%5C49%5Cstackrel%7B%5Ccheckmark%7D%7B%3D%7D49)
Answer:
x^(1/3)
Step-by-step explanation:
let's start with x^2 / x^(2/3), then we'll move on the the 4th root
when dividing exponents with the same base, we subtract the exponents:
x^2 / x^(2/3) = x^(2 - 2/3) = x^(4/3)
the fourth root of x^4/3 can become x^(4/3 * 1/4)
(i used the formula x^(m/n) = nth root of x^m)
x^(4/3 * 1/4) = x^1/3
hope this helps! <3
Answer:
5/6
Step-by-step explanation:
2 1/2 -> 5/2
5/2 divided by 3, which is 0.83333333333
0.83333333333 as a simplied fraction is 5/6