Listening skills allows one to make sense and understand what another persons is saying. The three elements of listening are:pay attention,show that you are listening, provide feedback
Answer:
1 Multiply the first equation by -1 then add the equations together
3. Multiply the second equation by -1 then add the equations together
4. Multiply the first equation by -2 then add the equations together
5. Multiply the first equation by 2 the second by -1 then add the equations together
Step-by-step explanation:
x+y = 7
2x+y = 5
1 Multiply the first equation by -1 then add the equations together
-x+-y = -7
2x+y = 5
---------------
x =-2 then solve for y
2. Multiply the second equation by -1 first equation by -1 then add the equations together
-x+-y = -7
-2x-y = -5
---------------
-3x -2y = -12
Still have both variables
3. Multiply the second equation by -1 then add the equations together
x+y = 7
-2x-y =- 5
----------------------
-x = 2
4. Multiply the first equation by -2 then add the equations together
-2x+-2y = -14
2x+y = 5
--------------
-y = -9
5. Multiply the first equation by 2 the second by -1 then add the equations together
2x+2y = 14
-2x-y = -5
--------------
y = 9
The statement is represented as 2(c- 5). Option D
<h3>
What are algebraic expressions?</h3>
Algebraic expressions are expressions consisting of variables, terms, factors, and constants.
They are also made up of mathematical operations such as addition, bracket, subtraction, division, multiplication, etc
From the information given, we have;
- total cost of 2 dance tickets
- price of c for each, less a one-time $5 discount
Expressed as;
2(c- 5)
Thus, the statement is represented as 2(c- 5). Option D
Learn more about algebraic expressions here:
brainly.com/question/4344214
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Answer:
c = 12.5
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
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = 7.5
Leg <em>b</em> = 10
Hypotenuse <em>c</em> = <em>c</em>
<em />
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²
- Rewrite: c² = 7.5² + 10²
- Evaluate exponents: c² = 56.25 + 100
- Add: c² = 156.25
- [Equality Property] Square root both sides: c = 12.5
