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
Answer:
A. 2(8)+2(w)=26
B. 16+2w=26
Subtract 16 from both sides of the equation
2w=10
Divide both side by 2
The width is 5
Step-by-step explanation:
Answer:
,
, and π
Step-by-step explanation:
The irrational numbers are:
,
, and π
Helens increases more over time
Clints salary increases 4000$ a year
Helens salary increases 5400$ a year
How i got that was i got there current wage subtracted it from there starting wage and then divided by 3 because it has been 3 years since the beginning wage
In 10 years if this rate continues clint would be makin 60,000$ for that year and helen would be makin 81,000$ for that year
Answer:
(38.1,88.6)
Step-by-step explanation:
We are given the following in the question:
Sample mean,
= 38.3
Sample size, n = 695
Alpha, α = 0.05
Population standard deviation, σ = 3.6
95% Confidence interval:
Putting the values, we get,
