Answer:
(3, -1)
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>
3x - y = 10
2x - y = 7
<u>Step 2: Rewrite Systems</u>
3x - y = 10
- Subtract 3x on both sides: -y = 10 - 3x
- Divide -1 on both sides: y = 3x - 10
<u>Step 3: Redefine Systems</u>
y = 3x - 10
2x - y = 7
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - (3x - 10) = 7
- Distribute -1: 2x - 3x + 10 = 7
- Combine like terms: -x + 10 = 7
- Isolate <em>x</em> term: -x = -3
- Isolate <em>x</em>: x = 3
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 3x - y = 10
- Substitute in <em>x</em>: 3(3) - y = 10
- Multiply: 9 - y = 10
- Isolate <em>y</em> term: -y = 1
- Isolate <em>y</em>: y = -1
Answer: 55
Step-by-step explanation: The inside measure of a triangle should be 180 so knowing this subtract 43 and 82 and you get 55.
The answer is 5
The height of the right side is 15in the other side parallel is 10in leaving the top to be 5in
9514 1404 393
Answer:
- 246 products in year 5
- 2017 products over 5 years
Step-by-step explanation:
The n-th term of the geometric series is ...
an = a1(r^(n-1))
for first term a1 and common ratio r. The common ratio here is the growth factor: 1 -20% = 0.8. This means the 5th term (5th year sales) will be ...
a5 = 600(0.8^(5-1)) ≈ 246 . . . . . products sold in year 5
The sum is given by ...
sn = a1(1 -r^n)/(1 -r) = 600(1 -0.8^5)/(1-0.8) = 2017
The company will have sold about 2017 products over 5 years.
Answer:
1 unit
Step-by-step explanation:
If the circumference is 6, then the arc measured by a 60 degree angle, which is 1/6 of 360, represents 1/6 of the total circumference. Thus the answer is 1.