Independent variable doesn’t change, dependent variable has a value that depends on another,
Answer:
Mike had 72 stamps
Ken had 120 stamps
Step-by-step explanation:
Given




Required
Find K and M
Make K the subject in: 

Substitute
in 
![\frac{1}{5} * [3 * ( M - 24) - 24] = \frac{1}{3} * M](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%2A%20%5B3%20%2A%20%28%20M%20-%2024%29%20-%2024%5D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%20M)
Open brackets
![\frac{1}{5} * [3M - 72 - 24] = \frac{1}{3} * M](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%2A%20%5B3M%20-%2072%20-%2024%5D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%20M)
![\frac{1}{5} * [3M -96] = \frac{1}{3} * M](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%2A%20%5B3M%20-96%5D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%20M)
Multiply both sides by 15
![3* [3M -96] = 5 * M](https://tex.z-dn.net/?f=3%2A%20%5B3M%20-96%5D%20%3D%205%20%2A%20M)

Collect like terms


Divide both sides by 4

Substitute
in 



Answer:
Step-by-step explanation:
Here you go mate
Step 1
2/3x+5=1 Equation
Step 2
2/3x+5=1 Simplify
2/3x=-4
Step 3
2/3x=-4 Simplify
answer
x=-6
Answer:
the answer is A.)23
Step-by-step explanation:
Answer:
∠ ABC = 87°
Step-by-step explanation:
∠ ABD and ∠ DBE are adjacent angles and are supplementary, sum to 180° , so
2x - 17 + x + 32 = 180 , that is
3x + 15 = 180 ( subtract 15 from both sides )
3x = 165 ( divide both sides by 3 )
x = 55
Then
∠ DBE = x + 32 = 55 + 32 = 87° , thus
∠ ABC = ∠ DBE ( vertical angles )
∠ ABC = 87°