Hello!
Since you have a board that is 8 and 1/4 feet long, the easy way to calculate how many 1/2 feet are on 8 feet is two multiply 8 x 2, since there are two halves of a foot, in one foot (because two halves equal one whole). Now this may sound confusing but we can double check.
_________
| | As we can see here, there are two rows, each with 8 halves.
V V So now we multiply 8 x 2 and get 16.
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
1/2 + 1/2 = 1
^-- Now if you add all of these, it's 8, proving that you can do 8 x 2
Yes, you may be asking, "What about the 1/4?" Don't worry about it! Questions like this try to trick you into making it more complicated, it asks how many halves are in 8 and 1/4, but 1/4 isn't enough to make a half so we leave it alone.
Answer:
15:60, which when simplified is 1:4
The cost will be same for one session. The cost will be $128.
Step-by-step explanation:
Given,
Initial consultation charges for Plan One = $36
Per session fee = $92
Let,
x be the number of sessions.
O(x) = 92x+36
Initial consultation charges for Plan Two = $86
Per session fee = $42
T(x) = 42x+86
For same cost;
O(x) = T(x)
![92x+36=42x+86\\92x-42x=86-36\\50x=50](https://tex.z-dn.net/?f=92x%2B36%3D42x%2B86%5C%5C92x-42x%3D86-36%5C%5C50x%3D50)
Dividing both sides by 50
![\frac{50x}{50}=\frac{50}{50}\\x=1](https://tex.z-dn.net/?f=%5Cfrac%7B50x%7D%7B50%7D%3D%5Cfrac%7B50%7D%7B50%7D%5C%5Cx%3D1)
Putting x=1 in T(x)
![T(1)=42(1)+86\\T(1)=42+86\\T(1)=128\\](https://tex.z-dn.net/?f=T%281%29%3D42%281%29%2B86%5C%5CT%281%29%3D42%2B86%5C%5CT%281%29%3D128%5C%5C)
Putting x=1 in O(x)
![O(x) = 92(1)+36\\O(x) = 92+36\\O(x) = 128](https://tex.z-dn.net/?f=O%28x%29%20%3D%2092%281%29%2B36%5C%5CO%28x%29%20%3D%2092%2B36%5C%5CO%28x%29%20%3D%20128)
The cost will be same for one session. The cost will be $128.
Keywords: function, division
Learn more about functions at:
#LearnwithBrainly
Answer:
C (reflection across the x access)
Step-by-step explanation:
I got it right on edge
Answer:
x=−2
Step-by-step explanation:
−2x+5−5=9−5
−2x=4
-2x/-2 = 4/-2
x=−2