Answer:
Let a be the width and b the length
a+3=b
a*b=54
a(a+3)=54
a^2+3a-54=0
a=6
Answer:
![W = 16](https://tex.z-dn.net/?f=W%20%3D%2016)
![T = 67](https://tex.z-dn.net/?f=T%20%3D%2067)
Step-by-step explanation:
Represent trees with T and wreaths with W
Given
![T = 3 + 4 * W](https://tex.z-dn.net/?f=T%20%3D%203%20%2B%204%20%2A%20W)
![2 * W + T = 99](https://tex.z-dn.net/?f=2%20%2A%20W%20%2B%20T%20%3D%2099)
Solving (a): Cost of W
Substitute 3 + 4 * W for T in the second equation
![2*W + 3 + 4 * W = 99](https://tex.z-dn.net/?f=2%2AW%20%2B%203%20%2B%204%20%2A%20W%20%3D%2099)
![2W + 3 + 4 W = 99](https://tex.z-dn.net/?f=2W%20%2B%203%20%2B%204%20W%20%3D%2099)
Collect Like Terms
![2W + 4 W = 99 - 3](https://tex.z-dn.net/?f=2W%20%2B%204%20W%20%3D%2099%20-%203)
![6W = 96](https://tex.z-dn.net/?f=6W%20%3D%2096)
Divide through by 6
![W =\frac{96}{6}](https://tex.z-dn.net/?f=W%20%3D%5Cfrac%7B96%7D%7B6%7D)
![W = 16](https://tex.z-dn.net/?f=W%20%3D%2016)
Hence, each wreath costs $16
Solving (b): Cost of T
![T = 3 + 4 * W](https://tex.z-dn.net/?f=T%20%3D%203%20%2B%204%20%2A%20W)
Substitute 16 for W
![T = 3 + 4 * 16](https://tex.z-dn.net/?f=T%20%3D%203%20%2B%204%20%2A%2016)
![T = 3 + 64](https://tex.z-dn.net/?f=T%20%3D%203%20%2B%2064)
![T = 67](https://tex.z-dn.net/?f=T%20%3D%2067)
Hence, each tree costs $67
Answer:
Option d :18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality : ![2.5x+4y\leq 60](https://tex.z-dn.net/?f=2.5x%2B4y%5Cleq%2060)
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
![2.5(10)+4(2)\leq 60](https://tex.z-dn.net/?f=2.5%2810%29%2B4%282%29%5Cleq%2060)
![25+8\leq 60](https://tex.z-dn.net/?f=25%2B8%5Cleq%2060)
![33\leq 60](https://tex.z-dn.net/?f=33%5Cleq%2060)
Hence it is correct.
Option b : 20 bags of chips and 2 jars of salsa
so, x = 20 and y =2
Putting values in inequality
![2.5(20)+4(2)\leq 60](https://tex.z-dn.net/?f=2.5%2820%29%2B4%282%29%5Cleq%2060)
![50+8\leq 60](https://tex.z-dn.net/?f=50%2B8%5Cleq%2060)
![58\leq 60](https://tex.z-dn.net/?f=58%5Cleq%2060)
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
![2.5(14)+4(5)\leq 60](https://tex.z-dn.net/?f=2.5%2814%29%2B4%285%29%5Cleq%2060)
![35+20\leq 60](https://tex.z-dn.net/?f=35%2B20%5Cleq%2060)
![55\leq 60](https://tex.z-dn.net/?f=55%5Cleq%2060)
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
![2.5(18)+4(6)\leq 60](https://tex.z-dn.net/?f=2.5%2818%29%2B4%286%29%5Cleq%2060)
![45+24\leq 60](https://tex.z-dn.net/?f=45%2B24%5Cleq%2060)
![69\geq 60](https://tex.z-dn.net/?f=69%5Cgeq%2060)
Hence it is not correct since it violates the inequality
Answer:
Well, I don't have further explanation to this question but I know the answer which is: The x-axis is the only line of symmetry
2x+3x -9. You can simplify this to 5x-9.