Where’s the missing length ?
Inversely proportional means as one variable increases the other variable decreases.
In this problem, x is doubled which means it's increased, therefore, y is decreased.
7 / 2 = 3.5
The new value of y is 3.5
Answer:
Step-by-step explanation:
solve for v
-2v + v = 3
combine like terms
-v = 3
divide by -1
v = -3
Answer:
Solving the expression ![\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B%5Csqrt%7B81%7D%20%7D%20-2%29)
we get 6
The answer is 6.
Step-by-step explanation:
We need to find value of expression:
We know that 
Our expression will become
![\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{\sqrt{81} } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-\frac{18}{9 } -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-2 -2)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}-(-4)\\=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B%5Csqrt%7B81%7D%20%7D%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-%5Cfrac%7B18%7D%7B9%20%7D%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-2%20-2%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D-%28-4%29%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D%2B4)
We can write ![\sqrt[6]{8}=(2^3)^{\frac{1}{6}}=(2)^{\frac{3}{6}}=2^\frac{1}{2}=\sqrt{2} \\](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B8%7D%3D%282%5E3%29%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%3D%282%29%5E%7B%5Cfrac%7B3%7D%7B6%7D%7D%3D2%5E%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%7B2%7D%20%20%5C%5C)
Now, replacing ![\sqrt[6]{8}=\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B8%7D%3D%5Csqrt%7B2%7D)
![=\frac{2}{\sqrt[6]{8} }.\sqrt{2}+4\\=\frac{2}{\sqrt{2} }.\sqrt{2}+4\\=2+4\\=6](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B%5Csqrt%5B6%5D%7B8%7D%20%7D.%5Csqrt%7B2%7D%2B4%5C%5C%3D%5Cfrac%7B2%7D%7B%5Csqrt%7B2%7D%20%7D.%5Csqrt%7B2%7D%2B4%5C%5C%3D2%2B4%5C%5C%3D6)
So, solving the expression we get 6
$31,625
$2,590 x 12 months = 31,080
+ $545 = $31,625
