Answer:
<h2>
![y = \frac{66}{25}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B66%7D%7B25%7D%20)
</h2>
Step-by-step explanation:
![\frac{y}{2} - \frac{1}{5} = 2 - \frac{y}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7B2%7D%20%20-%20%20%5Cfrac%7B1%7D%7B5%7D%20%20%3D%202%20-%20%20%5Cfrac%7By%7D%7B3%7D%20)
First multiply through by the LCM to eliminate the fractions
The LCM of 2 , 5 and 3 is 30
We have
![30 \times \frac{y}{2} - 30 \times \frac{1}{5} = 2(30) - 30 \times \frac{y}{3} \\ 15y - 6 = 60 - 10y](https://tex.z-dn.net/?f=30%20%5Ctimes%20%20%5Cfrac%7By%7D%7B2%7D%20%20-%2030%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B5%7D%20%20%3D%202%2830%29%20-%2030%20%5Ctimes%20%20%5Cfrac%7By%7D%7B3%7D%20%20%5C%5C%2015y%20-%206%20%3D%2060%20-%2010y)
<u>Add 10y to both sides of the equation</u>
![15y + 10y - 6 = 60 + 10y - 10y \\ 25y - 6 = 60](https://tex.z-dn.net/?f=15y%20%2B%2010y%20-%206%20%3D%2060%20%2B%2010y%20-%2010y%20%5C%5C%2025y%20-%206%20%3D%2060)
<u>Add 6 to both sides of the equation</u>
![25y + 6 - 6 = 60 + 6 \\ 25y = 66](https://tex.z-dn.net/?f=25y%20%2B%206%20-%206%20%3D%2060%20%2B%206%20%5C%5C%2025y%20%3D%2066)
<u>Divide both sides by 25</u>
![\frac{25y}{25} = \frac{66}{25}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25y%7D%7B25%7D%20%20%3D%20%20%5Cfrac%7B66%7D%7B25%7D%20)
We have the final answer as
![y = \frac{66}{25}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B66%7D%7B25%7D%20)
Hope this helps you
Answer:
to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine
The cost of the mixture is $69 *$1 = $69. If all 69 pounds were peanuts, the cost would be 69*$0.99 = $68.31, which is $0.69 less. Each pound of walnuts used instead of peanuts adds $0.03 to the cost of the mixture, so there were $0.69/$0.03 = 23 pounds of walnuts.
<span>_____ </span>
<span>Let w represent the number of pounds of walnuts in the mixture. Then 69-w is the number of pounds of peanuts. The cost of the mixture will be </span>
<span>1.02w + 0.99(69-w) = 1.00*69 dollars </span>
<span>0.03w + 68.31 = 69.00 </span>
<span>w = (69.00 - 68.31)/0.03 = 0.69/0.03 = 23</span>
The length of each board in inches is 30 inches
Given the dimension of the board which is 5 feet 3 inches long. If Leah divides the board into 4 equal pieces, this is equivalent to dividing the length and width of the board into two equal parts.
Length of each board = length of the original board/2
- Length of each board = 5ft/2 = 2.5ft
Width of each board = width of the original board/2
- Width of each board = 3in/2 = 1.5in
Convert feet to inches
1 feet = 12 inches
2.5feet = 12(2.5) = 30inches
Hence the length of each board in inches is 30 inches
Learn more on area here: brainly.com/question/6904350
Substracs 11 from both sides