2010 47 +ten thousand split decide and
Answer:
50 square feet
Step-by-step explanation:
Length x width
Answer:
x = 4
Step-by-step explanation:
1. 8x+1 = 33 and the 4x together
2. 8x = 32 subtract 1 from each side
3. x = 4 Divide both sides by 8
Answer:
9
Step-by-step explanation:
3.14 divided by 28.26 = 9
Direct proportion equations have the following form:
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Where "k" is the Constant of proportionality.
In this case you know that "y" is directly proportional to "x" and when:
![x=4;y=-2](https://tex.z-dn.net/?f=x%3D4%3By%3D-2)
Having these values, you can substitute them into the equation and solve for "k":
![\begin{gathered} -2=k(4) \\ \frac{-2}{4}=k \\ k=-\frac{1}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-2%3Dk%284%29%20%5C%5C%20%5Cfrac%7B-2%7D%7B4%7D%3Dk%20%5C%5C%20k%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Bgathered%7D)
So, substituting the value of "k" into the first equation shown above, you get that the equation that models the given relationship is:
![y=-\frac{1}{2}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx)
Now, to find the value of "x", when the value of "y" is -24, you must substitute this value into the equation that models the relationship and then solve for "x". Then, you get:
![\begin{gathered} -24=-\frac{1}{2}x \\ (-24)(-2)=x \\ x=48 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-24%3D-%5Cfrac%7B1%7D%7B2%7Dx%20%5C%5C%20%28-24%29%28-2%29%3Dx%20%5C%5C%20x%3D48%20%5Cend%7Bgathered%7D)
Therefore, the answers are: