![2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } }](https://tex.z-dn.net/?f=2%5Cfrac%20%7B%201%20%7D%7B%202%20%7D%20%5Cquad%20divided%5Cquad%20by%5Cquad%205%5Cfrac%20%7B%201%20%7D%7B%203%20%7D%20%5C%5C%20%5C%5C%202%5Cfrac%20%7B%201%20%7D%7B%202%20%7D%20%3D2%2B%5Cfrac%20%7B%201%20%7D%7B%202%20%7D%20%3D%5Cfrac%20%7B%205%20%7D%7B%202%20%7D%20%5C%5C%20%5C%5C%205%5Cfrac%20%7B%201%20%7D%7B%203%20%7D%20%3D5%2B%5Cfrac%20%7B%201%20%7D%7B%203%20%7D%20%3D%5Cfrac%20%7B%2015%2B1%20%7D%7B%203%20%7D%20%3D%5Cfrac%20%7B%2016%20%7D%7B%203%20%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Cfrac%20%7B%20%5Cfrac%20%7B%205%20%7D%7B%202%20%7D%20%20%7D%7B%20%5Cfrac%20%7B%2016%20%7D%7B%203%20%7D%20%20%7D%20)
We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.
![\frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%20%5Cfrac%20%7B%205%20%7D%7B%202%20%7D%20%20%7D%7B%20%5Cfrac%20%7B%2016%20%7D%7B%203%20%7D%20%20%7D%20%5Cquad%20%3D%5Cquad%20%5Cfrac%20%7B%205%20%7D%7B%202%20%7D%20%5Ccdot%20%5Cfrac%20%7B%203%20%7D%7B%2016%20%7D%20%3D%5Cfrac%20%7B%205%5Ccdot%203%20%7D%7B%202%5Ccdot%2016%20%7D%20%3D%5Cfrac%20%7B%2015%20%7D%7B%2032%20%7D%20)
Let's equal this too 8/x
![\frac { 15 }{ 32 } =\frac { 8 }{ x }](https://tex.z-dn.net/?f=%5Cfrac%20%7B%2015%20%7D%7B%2032%20%7D%20%3D%5Cfrac%20%7B%208%20%7D%7B%20x%20%7D%20)
Cross multiply.
![8\cdot 32=15\cdot x\\ \\ 256=15x](https://tex.z-dn.net/?f=8%5Ccdot%2032%3D15%5Ccdot%20x%5C%5C%20%5C%5C%20256%3D15x)
Divide both sides by 15.
Answer:
64π or 201.0619298297
Step-by-step explanation:
Area of a circle: πr²
To find r, the radius of the circle, take the diameter (16) and halve it to get 8. You can now place 8 into the equation to get π8². Square 8 to get 64. You now now have π64, or 201.0619298297.
Answer:
93.8 times
Step-by-step explanation:
÷ ![\frac{1}{14} =](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B14%7D%20%3D)
![6\frac{7}{10} *14=\\\\\frac{67}{10} *14=\\\\\frac{938}{10} =93.8](https://tex.z-dn.net/?f=6%5Cfrac%7B7%7D%7B10%7D%20%2A14%3D%5C%5C%5C%5C%5Cfrac%7B67%7D%7B10%7D%20%2A14%3D%5C%5C%5C%5C%5Cfrac%7B938%7D%7B10%7D%20%3D93.8)
goes into
93.8 times
The <em>correct answer</em> is:
Discrete graph.
Explanation:
A discrete graph is a graph of disconnected points.
Since they are disconnected, this means the graph only has values at the points drawn, not between.
The opposite of a discrete graph is a continuous graph; it is a graph of connected points. Since the points are connected, the graph has values between all of the points. This is similar to what we learned in geometry about a line; a line has an infinite number of points. This is true of the connections between points in a continuous graph.
Since a discrete graph is the opposite of a continuous graph, this means it does <em>not</em> have an infinite number of points; a discrete graph has a <em>finite</em> number of points.