Multiply the average by the number of exams to find total points:
8 x 55 = 440
9 x 60 = 540
The score of the 9th exam is the difference between the two totals:
540 - 440 = 100
They scored a 100
Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
<em>Volume of composite figure = 667+719 = 1386 in³</em>
I don’t really know what the question is looking for but -1.8 C > -2.1C
Answer:
-7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
4x - 12 ≤ 16 + 8x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: -12 ≤ 16 + 4x
- Subtract 16 on both sides: -28 ≤ 4x
- Divide 4 on both sides: -7 ≤ x
- Rewrite: x ≥ -7
Here we see that any value <em>x</em> greater than or equal to -7 would work as a solution to the inequality.
∴ our answer is -7.
