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:
-445/month
Step-by-step explanation:
I think that what you would do is divide -5,341 by 12, which gives you -445
I don't really understand your question, but it think it goes like this:
x-17-20=180
gather common terms
x-37=180
move 37 to other side
x=180+37
addition
x=217
Answer:
The percent of decrease can be calculated with this formula:
(Original value - New Value)/(Original Value)
In this case, the original value is 117 and the new value is 91.
So the percent of decrease is 26/117, or about 22%.
Hope this helps!
An outside angle equals the sum of the two opposite inside angles.
So you have:
(5x-35) = 2x +58
Solve for X then you can calculate Angle B:
(5x-35) = 2x +58
Subtract 2x from both sides:
3x -35 = 58
Add 35 to both sides:
3x = 93
Divide both sides by 3:
X = 93 /3
x = 31
Now for Angle B, replace x with 31:
Angle B = 2x = 2(31) = 62 degrees.
