Answer:
Step-by-step explanation:
infinite and no solutions
Answer:
So the number of total combinations is 35.
Step-by-step explanation:
We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.
Therefore, she have total 7 courses.
So, we calculate the number of combinations to choose 4 out of 7 courses.
We get:
So the number of total combinations is 35.
Answer:
112π = 351.86 cubic centimeters of fluid to fill the cylinder
Step-by-step explanation:
The volume of cylinder = πr²h⇒ r its radius , h its height
V = π(4)²(7) = 112π = 351.86 cm³
Answer:
(-1, 1)
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x + 3
y = x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3 = x + 2
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: x + 3 = 2
- [Subtraction Property of Equality] Subtract 3 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [Original Equation]: y = -1 + 2
- Add: y = 1
