Answer:
x = -20
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
2x - 12 = -52
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 12 on both sides: 2x = -40
- Divide 2 on both sides: x = -20
<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>: 2(-20) - 12 = -52
- Multiply: -40 - 12 = -52
- Subtract: -52 = -52
Here we see that -52 does indeed equal -52.
∴ x = -20 is the solution to the equation.
Answer:
B. 36 C. 180 D. 240 E. 1,656
Step-by-step explanation:
Partial product is the multiplication of individual digit of a number in turn with each digit of the others where each digit maintains its place.
Using distributive property to multiply 24 × 69 to determine our partial products:
i.e.
24 × 69 = 24 × (60 + 9)
= (24 × 60) + (24 × 9)
= 60 (20 + 4) + 9(20 + 4)
So; we can have:
= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)
= 1200 + 240 + 180 + 36
= 1656
8.95 x 2 = 17.90
23.65 - 17.90 = 5.75
The answer is £5.75
