In the ratio 2 corresponds to shortest side and 4 the longest
so longest side is 2 * shortest
so the longest side = 2*12 = 24 cms.
![\left \{ {{3x + 6y = 4x} \atop {x = 8- 2y}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B3x%20%2B%206y%20%3D%204x%7D%20%5Catop%20%7Bx%20%3D%208-%202y%7D%7D%20%5Cright.%20)
![\left \{ {{3x- 4x + 6y = 0} \atop {x = 8 - 2y}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B3x-%204x%20%2B%206y%20%3D%200%7D%20%5Catop%20%7Bx%20%3D%208%20-%202y%7D%7D%20%5Cright.%20)
![\left \{ {{-x + 6y = 0} \atop {x=8 - 2y}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B-x%20%2B%206y%20%3D%200%7D%20%5Catop%20%7Bx%3D8%20-%202y%7D%7D%20%5Cright.%20)
![\left \{ {{-(8-2y) + 6y} \atop {x=8 - 2y}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B-%288-2y%29%20%2B%206y%7D%20%5Catop%20%7Bx%3D8%20-%202y%7D%7D%20%5Cright.%20)
![\left \{ {{-8+2y +6y = 0} \atop {x=8 - 2y}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7B-8%2B2y%20%2B6y%20%3D%200%7D%20%5Catop%20%7Bx%3D8%20-%202y%7D%7D%20%5Cright.%20)
8y = 8
y = 1
x = 8-2y
x = 8-2*1
x = 8-2
x = 6
<span>A.
The system has a single solution. The solution set is (6, 1)</span>
Where are the tables and what are the ratios?
Answer:
![\boxed {x < -4}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bx%20%3C%20-4%7D)
Step-by-step explanation:
Solve the following inequality:
![7(x + 3) < 5x + 13](https://tex.z-dn.net/?f=7%28x%20%2B%203%29%20%3C%205x%20%2B%2013)
Use <u>Distributive Property</u>:
![7(x + 3) < 5x + 13](https://tex.z-dn.net/?f=7%28x%20%2B%203%29%20%3C%205x%20%2B%2013)
![7x + 21 < 5x + 13](https://tex.z-dn.net/?f=7x%20%2B%2021%20%3C%205x%20%2B%2013)
-Take
and subtract it from
:
![7x + 21 - 5x < 5x - 5x + 13](https://tex.z-dn.net/?f=7x%20%2B%2021%20-%205x%20%3C%205x%20-%205x%20%2B%2013)
![2x + 21 < 13](https://tex.z-dn.net/?f=2x%20%2B%2021%20%3C%2013)
Subtract both sides by
:
![2x + 21 - 21 < 13 - 21](https://tex.z-dn.net/?f=2x%20%2B%2021%20-%2021%20%3C%2013%20-%2021)
![2x < -8](https://tex.z-dn.net/?f=2x%20%3C%20-8)
Divide both side by ![2x](https://tex.z-dn.net/?f=2x)
![\frac{2x}{2} < \frac{-8}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%20%3C%20%5Cfrac%7B-8%7D%7B2%7D)
![\boxed {x < -4}](https://tex.z-dn.net/?f=%5Cboxed%20%7Bx%20%3C%20-4%7D)
Exact form: 31/15
decimal form: 2.06666..
mixed number form: 2 1/15
convert to improper fraction then combine. this help?