Answer: 27, 60, 900, 987
Step-by-step explanation:
329
* 3
----------
27
60
900
--------.
987
Answer:
6
Step-by-step explanation:
radius is half the diameter
Answer:
The answer is 2 1/4
Step-by-step explanation:
Solving equations with a variable on both sides requires multiple steps.
Let's look at how to solve one using properties step by step.
Example 1: 100 - 4x = 16x
Step 1: In the above equation, the first step is to identify the
variable. Clearly, it is x but the variable exists on both sides of the
equal sign.
Step 2: To simplify it, we can use the
properties of equality (addition and multiplication property of
equality) which says that if we perform an operation on one side, the
same should be done on the other side of the equal sign so that the
equation is balanced.
Using the addition property of equality, let's add 4x to both sides, we get.
100 - 4x + 4x = 16x +4 x
which equals, 100 = 20x
Now, dividing both sides by 20, we get
x = 5
For more complex equations, the usage of distributive property of
multiplication might be needed to isolate the variable and simplify.
Answer:
w = -3/8
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>
-6(w + 2) = w - 9 + 3(3w + 1)
<u>Step 2: Solve for </u><em><u>w</u></em>
- Distribute: -6w - 12 = w - 9 + 9w + 3
- Combine like terms: -6w - 12 = 10w - 6
- Add 6w to both sides: -12 = 16w - 6
- Isolate <em>w</em> term: -6 = 16w
- Isolate <em>w</em>: -3/8 = w
- Rewrite: w = -3/8
