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: True
Step-by-step explanation:
The statement that a mixed number has a whole number part and a fractional part is true.
The mixed number is made up of a whole number, and a proper fraction. A mixed number simply means a number that is between any two whole numbers. Examples of mixed numbers are 4¾, 7½ etc.
Answer:
AED 15,000
Step-by-step explanation:
Depreciation is a reduction in the value or worth of an asset as a result of use.
Given that the car is depreciated by 20%, it means that the value of the car after the application of depreciation is the result of the original price of the car less the amount of depreciation which has been given as 20% of the original price.
Let the original price of the car (its price when it was new) be T then
T - 0.2T = 12,000
0.8T = 12,000
T = 12,000/0.8
= AED 15,000
Answer:one solution
Step-by-step explanation:
Given
a=42
b=34
angle A=117
using sine rule



sinB=0.7212

and A+B+C=180

Thus 2 triangles can be formed with given value