Xy-x=2y+1
y = 2y+1
-2y -2y
-y = 1
/-1 /-1
Y= -1
X=1/3y+5/3
X = 1/3(-1) + 5/3
X = -1/3 + 5/3
x = 4/3
Also known as 1 1/3
Option (A)
Given:
Height of Molly is 5 3/4 feet takk.
Height of Andy is 6 1/6 feet takk.
The objective is to find how much taller is Andy than Molly.
The given equation can be wtitten as,
![\begin{gathered} \text{Height of molly is, M=5}\frac{3}{4}\text{ f}eet. \\ \text{Height of andy is, A=6}\frac{1}{6}\text{ f}eet. \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BHeight%20of%20molly%20is%2C%20M%3D5%7D%5Cfrac%7B3%7D%7B4%7D%5Ctext%7B%20f%7Deet.%20%5C%5C%20%5Ctext%7BHeight%20of%20andy%20is%2C%20A%3D6%7D%5Cfrac%7B1%7D%7B6%7D%5Ctext%7B%20f%7Deet.%20%5Cend%7Bgathered%7D)
THe difference between their height can be calculated as,
![\begin{gathered} d=A-M \\ =6\frac{1}{6}-5\frac{3}{4} \\ =\frac{36+1}{6}-\frac{20+3}{4} \\ =\frac{37}{6}-\frac{23}{4} \\ =\frac{37(4)-23(6)}{6(4)} \\ =\frac{148-138}{24} \\ =\frac{10}{24} \\ =\frac{5}{12}\text{ foot} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%3DA-M%20%5C%5C%20%3D6%5Cfrac%7B1%7D%7B6%7D-5%5Cfrac%7B3%7D%7B4%7D%20%5C%5C%20%3D%5Cfrac%7B36%2B1%7D%7B6%7D-%5Cfrac%7B20%2B3%7D%7B4%7D%20%5C%5C%20%3D%5Cfrac%7B37%7D%7B6%7D-%5Cfrac%7B23%7D%7B4%7D%20%5C%5C%20%3D%5Cfrac%7B37%284%29-23%286%29%7D%7B6%284%29%7D%20%5C%5C%20%3D%5Cfrac%7B148-138%7D%7B24%7D%20%5C%5C%20%3D%5Cfrac%7B10%7D%7B24%7D%20%5C%5C%20%3D%5Cfrac%7B5%7D%7B12%7D%5Ctext%7B%20foot%7D%20%5Cend%7Bgathered%7D)
Hence, option (A) is the correct answer.
Production would take place at a point inside the production possibility frontier
The Production possibilities curve is a curve that shows the various combination of two goods a company can produce when all its resources are fully utilised.
The PPC is concave to the origin. This means that as more quantities of a product is produced, the fewer resources it has available to produce another good. As a result, less of the other product would be produced. So, the opportunity cost of producing a good increase as more and more of that good is produced.
Points inside the production possibilities curve means that the nations resources are not being fully utilised
When the unemployment rate increases, it means that labour resources are not been fully utilized. As a result, production would take place at point inside the production possibilities curve
Point outside the curve or to the right of the curve means that the production level is not attainable given the level of resources
Learn more about the production possibility curve here : brainly.com/question/12047178?referrer=searchResults
<h2>
Hello!</h2>
The answer is:
Garyn would plant the garden by himself in 6 hours.
<h2>Why?</h2>
From the statement, we know that Frankie can plant a garden by herself in 10 hours, but with her son's help(Garyn), they are able to do it in 4 hours.
If they are able to do the work in just 4 hours, it means that that they are able to do it in 6 hours less than Frankie working alone.
![10hours-4hours=6hours](https://tex.z-dn.net/?f=10hours-4hours%3D6hours)
Then, let be 10 hours, the Frankie's rate "x" and the Garyn's rate "y", so:
![x-4Hours=y\\](https://tex.z-dn.net/?f=x-4Hours%3Dy%5C%5C)
If x is equal to 10:
![10hours-4hours=y\\](https://tex.z-dn.net/?f=10hours-4hours%3Dy%5C%5C)
![6hours=y\\](https://tex.z-dn.net/?f=6hours%3Dy%5C%5C)
So, Garyn would plant the garden by himself in 6 hours.
Have a nice day!