Answer:
500
Step-by-step explanation:
15% * x = 75
(15/100) * x = 75 Multiply both sides by 100/15
(15/100)*(100/15) = 75 * 100/15
x = 7500/15
x = 500
Answer 500
Proportion
15/100 = 75 / x Cross multiply
15x = 100*75 Combine the right
15x = 7500 Divide 15
15x/15 = 7500/15
x = 500
So you are given that 45 people in the age range of 18 to 29 who voted make up 10% of the total voters.
And you also know that 30% of the voters are in the age range of 30-49. And you need to find out how many people aged 30-49 voted.
So 10% of the total make up 45 people.
That means for 30% of the total number people, there would be 45 x 3 people, or 135 people. Because 10% x 3 = 30%
So, great job! :D
Answer:
y + 1 = -1/2(x - 8)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Slope Formula: 
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
f(8) = -1 → Coordinate (8, -1)
f(6) = 0 → Coordinate (6, 0)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute [SF]:

- Add/Subtract:

- Simplify:

<u>Step 3: Write Function</u>
<em>Substitute into general form.</em>
- Point 1: y + 1 = -1/2(x - 8)
- Point 2: y = -1/2(x - 6)
The solution would be like this for this specific problem:
Volume of a cylinder = pi * r^2 * h
Volume of a cone = 1/3 * pi * r^2 * h
Total Height = 47
Height of the cone = 12
Height of the cylinder = 35
If the top half is filled with sand, then:
volume (sand) = pi * 4^2 * 36
volume (cone) = 1/3 * pi * 4^2 * 12
Total volume = 1960.353816 cubic millimeters
353816 / (10 * pi) = 62.4 seconds.
It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.
Answer:
B. 22
Step-by-step explanation:
Quotient of 18 and 2 is 9, and just take the 9 out of the next series and you will be left with 22.