-4x-(-12)=(-11x)+23
+12 +12
-4x=(-11x)+35
+11x +11x
7x=35
/7 /7
x=5
Answer:
9/32 of the cookie was left for Stephanie to eat after lunch
Step-by-step explanation:
Anastasia’s mom baked a giant sugar cookie for her birthday.
On her birthday, ⅝ of the birthday cookie was eaten.
So, remaining cake =![1 - \frac{5}{8}=\frac{3}{8}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B5%7D%7B8%7D%3D%5Cfrac%7B3%7D%7B8%7D)
The next day her brother ate ¼ of what remained.
Amount of cake eaten by her brother = ![\frac{1}{4}(\frac{3}{8})=\frac{3}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%28%5Cfrac%7B3%7D%7B8%7D%29%3D%5Cfrac%7B3%7D%7B32%7D)
So, remaining cake = ![\frac{3}{8}-\frac{3}{32}=\frac{12-3}{32}=\frac{9}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B3%7D%7B32%7D%3D%5Cfrac%7B12-3%7D%7B32%7D%3D%5Cfrac%7B9%7D%7B32%7D)
Hence 9/32 of the cookie was left for Stephanie to eat after lunch
The answer is 2/6 in the fourth decimal place