<span>3 – 2a < 7
Subtract 3 from both sides
-2a<4
Divide both sides so that the only thing remaining on the left side is the variable a.*Note: When you divide a negative number in a inequality, it automatically flips the greater than/less than sign to it's opposite side.
Final Answer: a>-2</span>
Answer:
1
Step-by-step explanation:
- 3/5 divided by 12/20 = 3/5 * 20/12 = 60/60 = 1
Answer:
90 shoppers have cookies or fruits as their favorite snack.
Step-by-step explanation:
First add 15% and 15% to get a total of 30% then multiply 300 by 30 to get 9000 and divide that by 100 to get your answer of 90.
The correct answer is y=1/2x+1
Answer:
(2, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y - 3x = 1
2y - x = 12
<u>Step 2: Rewrite Systems</u>
y - 3x = 1
- Add 3x on both sides: y = 3x + 1
<u>Step 3: Redefine Systems</u>
y = 3x + 1
2y - x = 12
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2(3x + 1) - x = 12
- Distribute 2: 6x + 2 - x = 12
- Combine like terms: 5x + 2 = 12
- Isolate <em>x</em> term: 5x = 10
- Isolate <em>x</em>: x = 2
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 2y - x = 12
- Substitute in <em>x</em>: 2y - 2 = 12
- Isolate <em>y </em>term: 2y = 10
- Isolate <em>y</em>: y = 5
