Answer:
θ = 104°
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>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify and set up</em>
m∠A = 31°
m∠B = θ
m∠C = 45°
θ + 31° + 45° = 180°
<u>Step 2: Find θ</u>
- Add: θ + 76° = 180°
- [Subtraction Property of Equality] Subtract 76° on both sides: θ = 104°
Hello from MrBillDoesMath!
Answer:
7.7 % (approximately)
Discussion:
65 * x% = 65 * (x/100) = 5 => (multiply both sides by 100)
65 *( x/100)* 100 = 5 * 100 =>
65x = 500 =>
x = 500/65 = 7.7 (approx)
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Answer:
![y(x) = 0.0732x + 17.32](https://tex.z-dn.net/?f=y%28x%29%20%3D%200.0732x%20%2B%2017.32)
Step-by-step explanation:
The equation for the monthly charge has the following format
![y(x) = ax + b](https://tex.z-dn.net/?f=y%28x%29%20%3D%20ax%20%2B%20b)
In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.
Base charge of $17.32 per month.
This means that ![b = 17.32](https://tex.z-dn.net/?f=b%20%3D%2017.32)
charge of 7.32 cents per kilowatt-hour
Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is ![a = 0.0732](https://tex.z-dn.net/?f=a%20%3D%200.0732)
Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.
![y(x) = ax + b](https://tex.z-dn.net/?f=y%28x%29%20%3D%20ax%20%2B%20b)
![y(x) = 0.0732x + 17.32](https://tex.z-dn.net/?f=y%28x%29%20%3D%200.0732x%20%2B%2017.32)
The answer is B.getting heads on a coin toss