Answer:
15 boys and 25 girls
Step-by-step explanation:
The sum of boys (b) and girls (g) is given as 40:
g + b = 40
The number of girls is 2 times the number of boys minus 5:
2b - 5 = g
First formula can be rewritten as g = 40 - b
Then you can substitute this for g in the second, and you get:
2b-5 = 40-b
Which simplifies to:
2b + b = 40 + 5
3b = 45
b = 15
g = 40-15 = 25
15 boys, 25 girls.
The formula for direct variation is y = kx<span> where k </span>≠ 0
y = 9/x is an inverse relation
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)
Answer:
I hope this helps
Step-by-step explanation:
-3 1/8
Answer:
At most it can hold 18 bagels
Step-by-step explanation:
So we can make this an equation
16 · 16 square tray = 9 bagels on top of it
We just doubled both sides of it
giving us 32 · 32 square tray = 18 bagels can be held.