111 is taht one cus that would make it so they all add up to 180
1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X
(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12
point: (16,12)
204 times .46 equals 93.84, to round of it would be 93.8
Given the information, we have a direct proportionality. Then, the proportions would be:
![\frac{7}{x}=\frac{4}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Bx%7D%3D%5Cfrac%7B4%7D%7B11%7D)
solving for x we get the following:
![\begin{gathered} \frac{7}{x}=\frac{4}{11} \\ \Rightarrow7=\frac{4}{11}\cdot x \\ \Rightarrow\frac{7}{\frac{4}{11}}=x \\ \Rightarrow x=\frac{11\cdot7}{4}=\frac{77}{4}=19\frac{1}{4} \\ x=19\frac{1}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B7%7D%7Bx%7D%3D%5Cfrac%7B4%7D%7B11%7D%20%5C%5C%20%5CRightarrow7%3D%5Cfrac%7B4%7D%7B11%7D%5Ccdot%20x%20%5C%5C%20%5CRightarrow%5Cfrac%7B7%7D%7B%5Cfrac%7B4%7D%7B11%7D%7D%3Dx%20%5C%5C%20%5CRightarrow%20x%3D%5Cfrac%7B11%5Ccdot7%7D%7B4%7D%3D%5Cfrac%7B77%7D%7B4%7D%3D19%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%20x%3D19%5Cfrac%7B1%7D%7B4%7D%20%5Cend%7Bgathered%7D)
therefore, to paint 11 rooms, we will need 19 1/4 gallons of paint
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Answer: ![\textsf{a + c } > \textsf{ b + c}](https://tex.z-dn.net/?f=%5Ctextsf%7Ba%20%2B%20c%20%7D%20%3E%20%5Ctextsf%7B%20b%20%2B%20c%7D)
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Given: ![\textsf{a} > \textsf{b}](https://tex.z-dn.net/?f=%5Ctextsf%7Ba%7D%20%3E%20%5Ctextsf%7Bb%7D)
Find: ![\textsf{a + c }\_\_\_ \textsf{ b + c}](https://tex.z-dn.net/?f=%5Ctextsf%7Ba%20%2B%20c%20%7D%5C_%5C_%5C_%20%5Ctextsf%7B%20b%20%2B%20c%7D)
Solution: We know that a is greater than b and we also know that we are going to be adding c to both sides which means that both sides would increase by the same amount. Therefore a + c would still be greater than b + c giving us the expression of a + c > b + c.