Answer:
The amount with Dakota = $0.421
The amount with Ethan = $8.421
Step-by-step explanation:
Let the Initial amount with Dakota be 'x'
Therefore,
Amount with Ethan = x + $8
After giving
of money to the Dakota i.e
of ( x + $8)
Amount available with Dakota = x + ![[\frac{1}{4}\times(x+8)]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B4%7D%5Ctimes%28x%2B8%29%5D)
= 
Amount available with Ethan = (x + $8) - ![[\frac{1}{4}\times(x+8)]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B4%7D%5Ctimes%28x%2B8%29%5D)
= 
Now,

or

or
2(3x + 24) = 5(5x + 8)
or
6x + 48 = 25x + 40
or
25x - 6x = 48 - 40
or
19x = 8
or
x = $0.421
Hence,
The amount with Dakota = $0.421
The amount with Ethan = x + $8
= $0.421 + $8
= $8.421
Answer:
Step-by-step explanation:
(x-3)(x-4)/(x-4)
The (x-4)'s divide out.
Answer:
Option D
Step-by-step explanation:
From the picture attached,
If each block of the graph is a square with the dimension of 1 unit,
Measure of leg 1 = 5 units
Measure of leg 2 = 12 units
By applying Pythagoras theorem in the right triangle given in the picture,
(Hypotenuse)²= (leg 1)² + (leg 2)²
(Hypotenuse)²= (5)² + (12)²
(Hypotenuse)²= 25 + 144
Hypotenuse = √169
Hypotenuse = 13
Therefore, length of the given line will be 13.
Option D is the answer.
You would go down the y axis 5 boxes
Answer:
2
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1) where (x1, x2) and (y1, y2) are points on the line
Plug in the points A (-3, -2) and B (1, 6)
(y2 - y1) / (x2 - x1)
(6 + 2) / (1 + 3)
8 / 4
= 2
So, the slope of line segment AB is 2.