Answer:
Half
Step-by-step explanation:
![\left(\dfrac{22}7 - \dfrac 23 \right) \div 2 = \left(\dfrac{22}7 - \dfrac 23 \right) \times \dfrac 12](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B22%7D7%20-%20%5Cdfrac%2023%20%5Cright%29%20%5Cdiv%202%20%20%3D%20%5Cleft%28%5Cdfrac%7B22%7D7%20-%20%5Cdfrac%2023%20%5Cright%29%20%5Ctimes%20%5Cdfrac%2012)
Answer:
see the procedure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have
The remaining length (L) of 120-inch rope after x inches have been cut off
we have
L ---> is the dependent variable (output variable)
x ---> the independent variable (input variable)
The linear equation is
![L=120-x](https://tex.z-dn.net/?f=L%3D120-x)
The equation not represent a proportional relationship, because the line not passes through the origin
Answer:
check the explanation
Step-by-step explanation:
Define the number of the items multiply
![20 \times \frac{3}{4} \\ = 15 \\ \\ \frac{8}{3} \times \frac{3}{4} \\ = 2 \\ \\ 32 \times \frac{3}{8} \\ = 4](https://tex.z-dn.net/?f=20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%5C%5C%20%20%3D%2015%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B8%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%20%5C%5C%20%20%3D%202%20%5C%5C%20%20%5C%5C%2032%20%5Ctimes%20%20%20%5Cfrac%7B3%7D%7B8%7D%20%20%5C%5C%20%20%3D%204)
To find weight per item:
![\frac{7}{8} \times \frac{1 }{2} \\ \frac{7}{16} \\ \\ \frac{1}{2} \times \frac{1}{4} \\ \frac{1}{8}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B7%7D%7B8%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%20%7D%7B2%7D%20%20%5C%5C%20%20%5Cfrac%7B7%7D%7B16%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5C%5C%20%20%5Cfrac%7B1%7D%7B8%7D%20)
Answer:
√113
Step-by-step explanation:
8*8 + 7*7 = c^2
64 + 49 = c^2
√113 =C