Answer:
27+4x+8y
or
4x+8y+27 ( I can reorder this a few different ways. I don't know what your choices are)
Step-by-step explanation:
11+4(x+2y+4)
We can apply distributive property to the 4(x+2y+4), this will give us 4x+8y+16.
Bring down the 11+ and we have 11+4x+8y+16.
The only like terms we have is 11 and 16. So reorder using commutative property and get 11+16+4x+8y.
I'm going to simplify the 11+16 part which gives us 27.
In the end we have 27+4x+8y.
Let me line up so it is all nice and neat:
11+4(x+2y+4)
11+4x+8y+16
11+16+4x+8y
27+4x+8y
Answer:
![P(A) = \frac{3}{10}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7B3%7D%7B10%7D)
Step-by-step explanation:
Given
![S = \{11,12,13,14,15,16,17,18,19,20\}](https://tex.z-dn.net/?f=S%20%3D%20%5C%7B11%2C12%2C13%2C14%2C15%2C16%2C17%2C18%2C19%2C20%5C%7D)
Required
The probability of having a multiple of 3
Let the event of having a multiple of 3 be represented as: A
So:
![A = \{12,15,18\}](https://tex.z-dn.net/?f=A%20%3D%20%5C%7B12%2C15%2C18%5C%7D)
![n(A) = 3](https://tex.z-dn.net/?f=n%28A%29%20%3D%203)
So, the probability is:
![P(A) = \frac{n(A)}{n(S)}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7Bn%28A%29%7D%7Bn%28S%29%7D)
Where
i.e. the sample size
So:
![P(A) = \frac{n(A)}{n(S)}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7Bn%28A%29%7D%7Bn%28S%29%7D)
![P(A) = \frac{3}{10}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7B3%7D%7B10%7D)
Answer:
y= -1/4x+3
Step-by-step explanation:
If this is what you are looking for
y=mx+b
B=Y-intercept
M=slope
to caculate the slope, you can do a more complicated equation or a simple one. Just count "Rise over run" aka up to the side
If you were looking for a line that was like yours, I counted down 1, then 3 over until the next point. Whever you go down or to the left, it becomes negative for this number
-Max
This is the concept of applications of volume. We are required to calculate BTUs per cubic foot. This will be given by the formula:
(BTU)/volume
Total BTU=15*750=11,250
(assuming the bus is a perfect cuboid) volume of the bus will be;
volume=length*width*height
=38*8.5*6.25
=2018.75 ft^2
Thus the BTUs per foot will be:
11250/2018.75
5.57 BTUs/ft
Answer:
a = 98
b = 82
c = 58
d = 122
Step-by-step explanation:
Ok so I tried to find b first since that was the easiest.
The other side from b is going to be 98 because of the vertical angles theorem, and adding 98 with b will be 180 because of supplementary angles.
180-98=b
82=b
I looked for letter a next. I used the alternate interior angles with letter a and the other side of b. Alternate interior angles always equal each other so therefore the opposite from letter a is 82. 180-82=98
C is 58 from an interior angles theorem I learned a year ago and forgot (sorry. hmm i think its called corresponding angles theorem)
And letter D is found by taking the vertical angle from C and giving it the value of 58 since C is also 58. Now we know that the other side from d is 58 and adding 58 with d will get us 180 since they are both supplementary angles.
d+58=180
d=122
Sorry for my sketchy explanation I learned this a year ago and I don't remember the names of the explanations well