I'm guessing the repeating part is 89 at the end, so that
![x=0.8967\overline89\implies10^4x=8967.\overline{89}](https://tex.z-dn.net/?f=x%3D0.8967%5Coverline89%5Cimplies10%5E4x%3D8967.%5Coverline%7B89%7D)
Then
![10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}](https://tex.z-dn.net/?f=10%5E4x%3D8967%2B%5Cdisplaystyle89%5Csum_%7Bi%3D1%7D%5E%5Cinfty%5Cfrac1%7B100%5Ei%7D)
![10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)](https://tex.z-dn.net/?f=10%5E4x%3D8967%2B89%5Cleft%28%5Cdfrac1%7B1-%5Cfrac1%7B100%7D%7D-1%5Cright%29)
![10^4x=8967+\dfrac{89}{99}](https://tex.z-dn.net/?f=10%5E4x%3D8967%2B%5Cdfrac%7B89%7D%7B99%7D)
![x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B8967%7D%7B10%5E4%7D%2B%5Cdfrac%7B89%7D%7B99%5Ccdot10%5E4%7D)
![x=\dfrac{443911}{495000}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B443911%7D%7B495000%7D)
###
An arguably quicker way without using geometric series:
![10^4x=8967.\overline{89}](https://tex.z-dn.net/?f=10%5E4x%3D8967.%5Coverline%7B89%7D)
![10^6x=896789.\overline{89}](https://tex.z-dn.net/?f=10%5E6x%3D896789.%5Coverline%7B89%7D)
![10^6x-10^4x=887822](https://tex.z-dn.net/?f=10%5E6x-10%5E4x%3D887822)
![x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B887822%7D%7B10%5E6-10%5E4%7D%3D%5Cdfrac%7B443911%7D%7B495000%7D)
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
4x+9=17
4x-9=-9
4x=8
4x/4=8/4
X=2
Answer:
5<b-3
Add 3 on both sides
8<b
The variable will always go on the left side of the equation. To flip the equation, you must also flip the less than sign to a greater than sign.
b>8
Hope I helped!
Answer:
Que is talking about a syrup which contains 50% of sugar .
Que asked : amount of sugar syrup from X grams of sugar.
Explanation :
if a sugar syrup contains 50% of sugar , that means that the half of the solution contains sugar and half is solvent .
means , 2 × amount of sugar = solution (syrup)
now , we are given x grams of sugar
then , solution can be made with x grams of sugar = 2 × (X grams) = 2X gram of solution or sugar syrup.
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Mark BRAINLIEST!