Answer:
35/8
Step-by-step explanation:
4×8= 32 plus the 3/8 equals 35/8
hope it helps
Answer:
The value of x for the given expression is (95/27)
Step-by-step explanation:
Here, the given expression is:
![\frac{1}{5} x + \frac{1}{3} = 3(\frac{2}{3}x -2)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20x%20%2B%20%5Cfrac%7B1%7D%7B3%7D%20%20%20%3D%203%28%5Cfrac%7B2%7D%7B3%7Dx%20-2%29)
Now here solving for the value of x , we get
![\frac{1}{5} x + \frac{1}{3} = 3(\frac{2}{3}x) -6\\\implies\frac{1}{5} x + \frac{1}{3} = 2x -6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20x%20%2B%20%5Cfrac%7B1%7D%7B3%7D%20%20%20%3D%203%28%5Cfrac%7B2%7D%7B3%7Dx%29%20-6%5C%5C%5Cimplies%5Cfrac%7B1%7D%7B5%7D%20x%20%2B%20%5Cfrac%7B1%7D%7B3%7D%20%20%20%3D%202x%20-6)
Now, taking the variable terms on 1 side, we get
![\frac{1}{5} x - 2x = -6 - \frac{1}{3} \\\implies\frac{x - 10x}{5} = -(\frac{6(3) +1}{3} )](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20x%20%20%20-%202x%20%20%20%3D%20-6%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5Cimplies%5Cfrac%7Bx%20%20-%2010x%7D%7B5%7D%20%20%20%3D%20-%28%5Cfrac%7B6%283%29%20%20%2B1%7D%7B3%7D%20%29)
or, ![\frac{-9x}{5} = -\frac{19}{3} \implies x = \frac{19}{3} \times\frac{5}{9} = \frac{95}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B-9x%7D%7B5%7D%20%20%20%3D%20-%5Cfrac%7B19%7D%7B3%7D%20%20%20%5Cimplies%20x%20%20%3D%20%5Cfrac%7B19%7D%7B3%7D%20%20%5Ctimes%5Cfrac%7B5%7D%7B9%7D%20%20%20%3D%20%5Cfrac%7B95%7D%7B27%7D)
Hence, the value of x = (95/27)
Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
First work out the 'multiplier'
3 + 5 + 9 = 17 so Multiplier = 1/17
$558 is the largest share and that equals 9 * 1/17 of x where x is the total amount of money
9x / 17 = 558
x = (558 * 17) / 9 = $1054
So the smallest share = 3 /17 * 1054 = $186 Answer
Answer:
The answer is (1/2)z - x - 3y
Step-by-step explanation:
∵ ![log_{2}P=x](https://tex.z-dn.net/?f=log_%7B2%7DP%3Dx)
∵ ![log_{2}Q=y](https://tex.z-dn.net/?f=log_%7B2%7DQ%3Dy)
∵ ![log_{2}R=z](https://tex.z-dn.net/?f=log_%7B2%7DR%3Dz)
∵ ![log_{2}\frac{R^{\frac{1}{2}}}{(P)(Q^{3})}](https://tex.z-dn.net/?f=log_%7B2%7D%5Cfrac%7BR%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B%28P%29%28Q%5E%7B3%7D%29%7D)
∴ ![log_{2}(R)^{\frac{1}{2}}-log_{2}P-log_{2}(Q^{3})](https://tex.z-dn.net/?f=log_%7B2%7D%28R%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D-log_%7B2%7DP-log_%7B2%7D%28Q%5E%7B3%7D%29)
∴ ![\frac{1}{2}log_{2}R-log_{2}P-3log_{2}Q](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dlog_%7B2%7DR-log_%7B2%7DP-3log_%7B2%7DQ)
∴ ![\frac{1}{2}z-x-3y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dz-x-3y)