Answer:
and ![\frac{1}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B27%7D)
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 0.1212...... (1) ← multiply both sides by 10
100x = 12.1212.... (2)
subtract (1) from (2) thus eliminating the repeating numbers
99x = 12 ( divide both sides by 99 )
x =
=
← in simplest form
-------------------------------------------------------
let x = 0.037037....... (1) ← multiply both sides by 1000
1000x = 37.037037..... (2)
subtract (1) from (2) to eliminate the repeating numbers
999x = 37 ( divide both sides by 999 )
x =
=
← in simplest form
Answer:
3rd quadrant
Step-by-step explanation:
In the second quadrant, x is negative and y is positive so that means that the original values of x and y are both negative. The quadrant in which those kinds of points are located is Quadrant III.
Answer:
![0.3 = \frac{3}{10}\\\\ 0.46 = \frac{23}{50} \\\\0.075 = \frac{3}{40}](https://tex.z-dn.net/?f=0.3%20%3D%20%5Cfrac%7B3%7D%7B10%7D%5C%5C%5C%5C%200.46%20%3D%20%5Cfrac%7B23%7D%7B50%7D%20%5C%5C%5C%5C0.075%20%3D%20%5Cfrac%7B3%7D%7B40%7D)
Step-by-step explanation:
To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)
For 0.3, 3 is in the tenths place, so we end up with the fraction ![\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D)
For 0.46, 6 is in the hundreths place, so before simplifying we have ![\frac{46}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B46%7D%7B100%7D)
The GCF of 46 and 100 is 2 so we divide the fraction by
to get
÷
= ![\frac{23}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B50%7D)
For 0.075, the 5 is in the thousandths place, so before simplifying we have ![\frac{75}{1000}](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B1000%7D)
The GCF of 75 and 1000 is 25 so we decide the fraction by
to get
÷
= ![\frac{3}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B40%7D)
Size is dependent on time, so size is dependent variable. It's what you would measure in an experiment.
Answer:
y = - 2x + 1
Step-by-step explanation:
Parallels line have the same slope, when an equation is in the form y= mx + b, m is the slope. In this problem slope = - 2
Now with the slope what is missing is the y-intercept, the problem says that the line contains the point (-2, 5), replacing that point in the equation you can solve it to find the y-intercept
y = mx + b
5 = (-2)(-2) + b
5 = 4 + b
1 + b
y = - 2x +1