Answer:
d=2r= 2·24=48ft
Step-by-step explanation:
1800 divided by 25 is 72. He types 72 words per minute.
Answer:
(-3, 4)
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
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
16x + 14y = 8
-63x - 14y = 133
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: 16x + 14y = 8
- Substitute in <em>x</em>: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
Answer: 3234 cubic units
Step-by-step explanation:
Volume of cylinder: πr²h
The diameter of the cylinder is 14 units so the radius is 7 units.
Now we'll substitute.
π = 22/7
h = 21
πr²h
π × 7² × 21
22/7 × 49 × 21 = 3,234
The volume is 3,234 cubic units.