Answer:
If 8 Treasure Chests per 4 Hours so
12 Treasure Chests for 6 Hours
10 treasure Chests for 5 Hours
Step-by-step explanation:
If 8 Chests every 4 Hours, then 2 Chests is every 1 hour. Count up each hour, add 2 chests.
Answer:
6 students.
Step-by-step explanation:
First let's combine 2 and 1/6.
6/6 + 6/6 + 1/6 = 13/6.
Now we will turn 13 to 13/1 and divide by 13/6



So, the teacher will hand the pizza out to 6 students.
Answer:
q = -13
Step-by-step explanation:
The given equation is:

Taking 2 as common from left hand side, we get:
![2(x^{2}-4x)=5\\\\2[x^{2} - 2(x)(2)]=5](https://tex.z-dn.net/?f=2%28x%5E%7B2%7D-4x%29%3D5%5C%5C%5C%5C2%5Bx%5E%7B2%7D%20-%202%28x%29%282%29%5D%3D5)
The square of difference is written as:
Equation 1
If we compare the given equation from previous step to formula in Equation 1, we note that we have square of first term(x), twice the product of 1st term(x) and second term(2) and the square of second term(2) is missing. So in order to complete the square we need to add and subtract square of 2 to right hand side. i.e.
![2[x^{2}-2(x)(2)+(2)^2-(2)^{2}]=5\\\\ 2[x^{2}-2(x)(2)+(2)^2]-2(2)^{2}=5\\\\ 2(x-2)^{2}-2(4)=5\\\\ 2(x-2)^2-8=5\\\\ 2(x-2)^{2}-8-5=0\\\\ 2(x-2)^{2}-13=0](https://tex.z-dn.net/?f=2%5Bx%5E%7B2%7D-2%28x%29%282%29%2B%282%29%5E2-%282%29%5E%7B2%7D%5D%3D5%5C%5C%5C%5C%202%5Bx%5E%7B2%7D-2%28x%29%282%29%2B%282%29%5E2%5D-2%282%29%5E%7B2%7D%3D5%5C%5C%5C%5C%202%28x-2%29%5E%7B2%7D-2%284%29%3D5%5C%5C%5C%5C%202%28x-2%29%5E2-8%3D5%5C%5C%5C%5C%202%28x-2%29%5E%7B2%7D-8-5%3D0%5C%5C%5C%5C%202%28x-2%29%5E%7B2%7D-13%3D0)
Comparing the above equation with the given equation:
, we can say:
p = 2 and q= -13
20₃ - 11₃ = 20₃ - 10₃ - 1₃
… = 10₃ - 1₃
… = 2₃
Put another way, we "borrow a 1" from the 3¹ digits place:
20₃ = 1(3)₃ - 11₃ = 2₃
But this is just the number 2 (in base 10), which in base 2 would be 10₂.