Answer:
The value of x is 11.
Step-by-step explanation:
The given number is 0.27272727..., and it is converted to the fraction as
..... (1)
Multiply both sides by 100.
![0.272727...\times 100=\frac{3}{x}\times 100](https://tex.z-dn.net/?f=0.272727...%5Ctimes%20100%3D%5Cfrac%7B3%7D%7Bx%7D%5Ctimes%20100)
.... (2)
Subtract equation (1) from equation (2),
![27.272727-0.272727...=\frac{300}{x}-\frac{3}{x}](https://tex.z-dn.net/?f=27.272727-0.272727...%3D%5Cfrac%7B300%7D%7Bx%7D-%5Cfrac%7B3%7D%7Bx%7D)
![27=\frac{300-3}{x}](https://tex.z-dn.net/?f=27%3D%5Cfrac%7B300-3%7D%7Bx%7D)
Multiply both sides by x.
![27x=297](https://tex.z-dn.net/?f=27x%3D297)
Divide both sides by 27.
![x=\frac{297}{27}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B297%7D%7B27%7D)
![x=11](https://tex.z-dn.net/?f=x%3D11)
Therefore the value of x is 11.
Answer:
5
Step-by-step explanation:
h(x) = x² + 1
k(x) = x - 2
(h - k)(3)
Plug x as 3.
h(3) - k(3)
3² + 1 - 3 - 2
Evaluate.
9 - 4
= 5
3 (7 + 4)² - 14 ÷ 7
3 (11)² - 14 ÷ 7
3 (121) - 14 ÷ 7
363 - 14 ÷ 7
363 - 2
361
Answer:
r = 1/6
Step-by-step explanation:
![\dfrac{3}{4}r=\dfrac{1}{8}\\\\\\](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7Dr%3D%5Cdfrac%7B1%7D%7B8%7D%5C%5C%5C%5C%5C%5C)
Multiply both sides by 4
![4*\dfrac{3}{4}r=4*\dfrac{1}{8}\\\\3r = \dfrac{1}{2}](https://tex.z-dn.net/?f=4%2A%5Cdfrac%7B3%7D%7B4%7Dr%3D4%2A%5Cdfrac%7B1%7D%7B8%7D%5C%5C%5C%5C3r%20%3D%20%5Cdfrac%7B1%7D%7B2%7D)
Divide both sides by 3
![\dfrac{3}{3}r=\dfrac{1}{2*3}\\\\r = \dfrac{1}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B3%7Dr%3D%5Cdfrac%7B1%7D%7B2%2A3%7D%5C%5C%5C%5Cr%20%3D%20%5Cdfrac%7B1%7D%7B6%7D)
Answer:
-3,2
Step-by-step explanation: