Answer:
m = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
m - 4m = -6
<u>Step 2: Solve for </u><em><u>m</u></em>
- Combine like terms: -3m = -6
- Divide -3 on both sides: m = 2
<u>Step 3: Check</u>
<em>Plug in m into the original equation to verify it's a solution.</em>
- Substitute in <em>m</em>: 2 - 4(2) = -6
- Multiply: 2 - 8 = -6
- Subtract: -6 = -6
Here we see that -6 does indeed equal -6.
∴ m = 2 is the solution to the equation.
1 apple is $.30. $.30 times 7 = $2.10.
Given:
y is directly proportional to x.
when 
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
...(i)
Where, k is the constant of proportionality.
We have, when . Substituting these values in (i), we get
Divide both sides by 5.
Substituting 
in (i), we get
Therefore, the required equation is .
