Answer:
Since there are 4 green bars for every 3 red bars and we are trying to find the number of red bars if there are 200 green bars, we can create the ratio:
4
x
:
3
y
Where x is equal to the number of green bars and y
is the number of red bars.
We know the number of green bars is equal to 200, so we can divide it by 4, giving us:
200
/4=50
Then we can solve for y
, the number of red bars.
// Multiple y by 50
3
⋅
50
=
150
So for every 4 green bars, there are 3 red bars.
For every 200 green bars, there are 150 red bars
Step-by-step explanation:
ANSWER
(C) d=1
EXPLANATION
The given equation is
![\frac{ - 3d}{ {d}^{2} - 2d - 8} + \frac{3}{d - 4} = \frac{ - 2}{d + 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203d%7D%7B%20%7Bd%7D%5E%7B2%7D%20-%202d%20-%208%7D%20%2B%20%20%5Cfrac%7B3%7D%7Bd%20-%204%7D%20%20%3D%20%20%5Cfrac%7B%20-%202%7D%7Bd%20%2B%202%7D%20)
Factor the first fraction to get,
![\frac{ - 3d}{(d + 2)(d - 4)} + \frac{3}{d - 4} = \frac{ - 2}{d + 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203d%7D%7B%28d%20%2B%202%29%28d%20-%204%29%7D%20%2B%20%20%5Cfrac%7B3%7D%7Bd%20-%204%7D%20%20%3D%20%20%5Cfrac%7B%20-%202%7D%7Bd%20%2B%202%7D%20)
Multiply through by (d+2)(d-4)
![- 3d + 3(d + 2) = - 2(d - 4)](https://tex.z-dn.net/?f=%20-%203d%20%2B%203%28d%20%2B%202%29%20%3D%20%20-%202%28d%20-%204%29)
Expand:
![- 3d + 3d + 6 = - 2d + 8](https://tex.z-dn.net/?f=%20-%203d%20%2B%203d%20%2B%206%20%3D%20%20-%202d%20%2B%208)
![6 = - 2d + 8](https://tex.z-dn.net/?f=%206%20%3D%20%20-%202d%20%2B%208)
![6 - 8= - 2d](https://tex.z-dn.net/?f=6%20%20-%208%3D%20%20-%202d)
![- 2 = - 2d](https://tex.z-dn.net/?f=%20-%202%20%3D%20%20-%202d)
divide both sides by -2
![d = 1](https://tex.z-dn.net/?f=d%20%3D%201)
Okay there is going to be a 90°, 45°, and a 45° atleast
Answer: Choice B. Opposite/hypotenuse
The "opposite" refers to the leg that is furthest from the reference angle. The hypotenuse is always the longest side. The longest side is directly across from the 90 degree angle.
Answer/Work:
672 divided by 32
is 21 with remainder 0
= 21 R 0
= 21 0/32
Show Work: (There are a few files that should help you see the steps of this problem, and examples (of)
and how to do it) I hope this helps! If not, please let me know. :)
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