So these are our two equations: ![2x+y=12\\x=y-3](https://tex.z-dn.net/?f=%202x%2By%3D12%5C%5Cx%3Dy-3%20)
Before we can use elimination, subtract y on both sides of the first equation: ![2x=-y+12\\x=y-3](https://tex.z-dn.net/?f=%202x%3D-y%2B12%5C%5Cx%3Dy-3%20)
Now we are able to use elimination. To eliminate the y variable, add the two equations together to get
. From here we can solve for x.
For this, just divide both sides by 3 and your first answer will be ![x=3](https://tex.z-dn.net/?f=%20x%3D3%20)
Now that we have the value of x, substitute it into either equation to solve for y:
![2*3+y=12\\6+y=12\\y=6\\\\3=y-3\\6=y](https://tex.z-dn.net/?f=%202%2A3%2By%3D12%5C%5C6%2By%3D12%5C%5Cy%3D6%5C%5C%5C%5C3%3Dy-3%5C%5C6%3Dy%20)
<u>In short, x = 3 and y = 6.</u>
Answer:
s = − 0.8 or a fraction - 4/5 or s = 4 if you didn't mean the s on the 8
2×((x+7)+10)
should be your answer.
that or:
2×(x+7+10)
Answer:
C. 31 ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
1. Convert mixed numbers into improper fractions:
· 2² + (
- 2) ÷ 3
2. Calculate within the parenthesis:
· 2² +
÷ 3
3. Calculate the exponent:
· 4 +
÷ 3
4. Multiply and divide (left to right):
29 +
÷ 3
29 + ![\frac{13}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B6%7D)
5. Add:
![\frac{187}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B187%7D%7B6%7D)
6. Convert the improper fraction to a mixed number:
= 31 ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
hope this helps!
Answer:
0.43 or 43%
Step-by-step explanation:
In this question, we are asked to calculate the net profit margin of Korey’s cosmetics. The net profit margin is simply a measure of how much net income a company makes with total sales achieved. It can also be referred to as net margin.
Mathematically, it can be calculated or expressed as follows:
Net profit margin = net income/total sales revenue
According to the values in the question, the net income is $1,850 while the total sales revenue is $4,350.
The net profit margin is thus : 1850/4350 = 0.43