Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's write down the equations which we will be solving as displayed below:
Equation No. 1 -
4m + n = 6
Equation No. 2 -
3m = 2n - 13 / 2
To begin with, we will make ( n ) the subject in the first equation as displayed below:
Equation No. 1 -
4m + n = 6
n = 6 - 4m
Next, we will substitute the value of ( n ) from the first equation into the second equation and also make ( m ) the subject. Then, we will solve the equation as displayed below:
Equation No. 2 -
3m = 2n - 13 / 2
3m = 2 ( 6 - 4m ) - 13 / 2
3m = 12 - 8m - 13 / 2
3m + 8m = 12 - 13 / 2
11m = 11 / 2
m = ( 11 / 2 ) ÷ 11
m = 1 / 2
Now we will substitute the value of ( m ) from the second equation into the first equation as displayed below:
Equation No. 1 -
n = 6 - 4m
n = 6 - 4 ( 1 / 2 )
n = 6 - 2
n = 4
ANSWER:
Therefore, our answer is:
m = 1 / 2
n = 4
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Answer:
x = 10
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
<u>Geometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 6
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 8² + 6² = x²
- Exponents: 64 + 36 = x²
- Add: 100 = x²
- Isolate <em>x</em>: 10 = x
- Rewrite: x = 10
<h3>
<u>Answer:</u></h3>
Average of salary of Anne and David is 1.25 of Peter's Salary
<h3>
<u>Explanation:</u></h3>
In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.
Let us assume Peter's Salary as P.
Then we can calculate Anne's salary A = .
Also David's salary = D =
Average of Anne's and David's salary =
Average of Anne's and David's salary =
Average of Anne's and David's salary =
Average = 1.25 \times P
Answer:
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Step-by-step explanation:
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Answer:
-2
Step-by-step explanation:
The slope of the line can be found using
m = (y2-y1)/ (x2-x1)
= (-4-8)/(5--1)
= (-4-8)/(5+1)
= -12/6
= -2