Step-by-step explanation:

Answer:
x = 4√5
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>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 4
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
- Evaluate exponents: 64 + 16 = x²
- Add: 80 = x²
- [Equality Property] Square root both sides: √80 = x
- Rewrite: x = √80
- Simplify: x = 4√5
Answer:

Step-by-step explanation:

<u>Expand the terms and simplify</u>
That's

Subtract 150 from both sides of the equation

<u>Divide both sides by 0.75</u>

We have the final answer as
<h3>x = - 5417.33 </h3>
Hope this helps you
Answer: 
Step-by-step explanation:
(a) Given
Sam charge $5 for each dog for a thirty minute walk
For an hour which is double the thirty minutes, it must be double of the same charge.

(b)Given
With $20, Christie sells 100 cups of lemonade with a quarter per cup charge
For 100 cup, she generate a revenue of

So, she earns
that is , her profit is 
Answer:
The measure of the longer base is:
9 centimeters
Step-by-step explanation:
We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:
Here we have:
The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.
i.e.
Step-by-step explanation: