Answer:
4
Step-by-step explanation:
Slope equation: ![\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
y1 = -6
y2 = 14
x1 = -2
x2 = 3
y2-y1 = 14 - (-6) = 20
x2-x1 = 3 - (-2) = 5
20/5 = 4
Answer:
x = 15
Step-by-step explanation:
I am going to use the "butterfly" method for proportions
(there is another type of butterfly method that is different, I am not sure if there is another name for this method, sorry!)
![\frac{7}{5} = \frac{21}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B5%7D%20%3D%20%5Cfrac%7B21%7D%7Bx%7D)
Multiply the:
- top left by the bottom right
-the top right by the bottom left
and then:
- set them equal to each other
So we will <u>multiply 7 by x and 21 by 5</u> (if this doesn't make sense tell me and I will explain it even more!)
7x = 21 * 5
7x = 105
(Divide both sides by 7) <em>x = 15</em>
Hope this helps, have a nice day! :D <3
So here is how we are going to solve the problem.
Let C be the cost of the chicken, and D as the cost of the duck.
The equation would be like this:
50c + 30d = 550 (divide this by 10)
5c + 3d = 55
3d = 55 - 5c (multiply by 3)
9d = 165 - 15c
Next,
44c + 36d = 532 (divide this by 4)
11c + 9d = 133
Now, substitute the value of 9d and it becomes
11c + 165 - 15c = 133
11c - 15c = 133 - 165
-4c = -32 (divide by -4)
c = 8
Therefore, the cost of each chicken is $8.00
Now going back to d,
9d = 165 - 15c (substitute c)
9d = 165 - 15(8)
9d = 165 - 120
9d = 45 (divide by 9)
d = 5
So the cost per duck is $5.00
Hope this helps.
The answer is (4, -1)
x = 4 and y = -1
If you want the work ask me on the comment if not this is the correct answer
Answer:
27,648
Step-by-step explanation:
subtract 28,648 - 1,000