Step-by-step explanation:
Consider the provided information.
For the proportion method first set up the equation like this:
![\frac{Part}{Whole}=\frac{Percentage}{100}](https://tex.z-dn.net/?f=%5Cfrac%7BPart%7D%7BWhole%7D%3D%5Cfrac%7BPercentage%7D%7B100%7D)
Perform the cross multiplication and then solve for the missing part.
For example:
Find 80 percentage of 10.
Step 1: Set up the equation.
![\frac{Part}{10}=\frac{80}{100}](https://tex.z-dn.net/?f=%5Cfrac%7BPart%7D%7B10%7D%3D%5Cfrac%7B80%7D%7B100%7D)
![\frac{Part}{10}=\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BPart%7D%7B10%7D%3D%5Cfrac%7B4%7D%7B5%7D)
Step 2: Perform the cross multiplication
![Part=\frac{4}{5}\times 10](https://tex.z-dn.net/?f=Part%3D%5Cfrac%7B4%7D%7B5%7D%5Ctimes%2010)
Step 3: Solve for the missing part.
![Part=4 \times 2](https://tex.z-dn.net/?f=Part%3D4%20%5Ctimes%202)
![Part=8](https://tex.z-dn.net/?f=Part%3D8)
Answer:
2/5, 4/7, 5/2
Step-by-step explanation:
5/2=2.5 2/5=.40 4/7= .59 that's aproximately for 4/7
Given:
The point is (-5,7).
To find:
The image of the given point after 90 degrees counter clockwise rotation.
Solution:
If a point rotated 90 degrees counter clockwise, then
![(x,y)\to (-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28-y%2Cx%29)
Let the given point is P(-5,7). Using the above rule, we get
![P(-5,7)\to P'(-7,-5)](https://tex.z-dn.net/?f=P%28-5%2C7%29%5Cto%20P%27%28-7%2C-5%29)
Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).
The last option: In his recursive formula, he should have the term an−1 instead of −4 to get an=an−1−3.
Answer:
The answer here would be 1/6.
Step-by-step explanation:
If Amelia originally has 12 marbles (12/12), then gives away 2, she then has 10 marbles (10/12). This means she gave away 2 of the 12 marbles she has (2/12). This fraction can then be reduced to 1/6 by dividing the denominator and numerator by 2.