Answer:
x = 6
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>
3 - 2x = -1.5x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 3 = 0.5x
- Divide 0.5 on both sides: 6 = x
- Rewrite: x = 6
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 3 - 2(6) = -1.5(6)
- Multiply: 3 - 12 = -9
- Subtract: -9 = -9
Here we see that -9 does indeed equal -9.
∴ x = 6 is the solution to the equation.
Question 1)
Given
The expression is 5xy
To determine
Find the value of 5xy if x = 2 and y = 3
5xy
substitute x = 2 and y = 3
5xy = 5(2)(3)
= 5(6)
= 30
Therefore, the value of 5xy = 30 if x = 2 and y = 3.
<em>Note: your remaining questions are not mentioned. But, the procedure may remain the same. Hopefully, your concept will be cleared anyway.</em>
There was a 200% increase
Area = πr²
50 = πr²
r = √50/π
so diameter = 2√50/π
which is = 7.98m to 3sf
Answer: Slope = 2/5
Concept:
Here, we need to know how to find the slope.
Slope = (y₂ - y₁) / (x₂ - x₁)
If you are still confused, please refer to the attachment below for a clearer version of the formula
Solve:
<u>Given information</u>
(x₁, y₁) = (-6, 2)
(x₂, y₂) = (4, 6)
<u>Given formula</u>
Slope = (y₂ - y₁) / (x₂ - x₁)
<u>Substitute values into the formula</u>
Slope = (6 - 2) / (4 - (-6))
<u>Simplify values in the parentheses</u>
<u>REMEMBER to change [+, -] signs when there is a [-] sign in front</u>
Slope = 4 / (4 + 6)
Slope = 4 / 10
<u>Divide both numerator and denominator by 2 to get the simplest form</u>
Slope = (4 ÷ 2) / (10 ÷ 2)
Slope = 2/5
Hope this helps!! :)
Please let me know if you have any questions
