Steps:
*Find the unit rate*
1) 1,892.5/ 48.5 = 39
*Multiply it by 64*
2) 39 * 64 = 2,496
So, Boyd's car will travel 2,496 miles on 64 gallons of fuel.
<span>-34-r=-7(8r-3)
- 34 - r = - 56r + 21
- r + 56r = 21 + 34
55r = 55
r = 55/55
r = 1</span>
Answer:
12%
Step-by-step explanation:
I = Prt
r = I/Pt
r = 792 / 2200(3)
r = 0.12
Answer:
16
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>
<em>Identify variables</em>
Leg <em>a</em> = <em>a</em>
Leg <em>b</em> = 12
Hypotenuse <em>c</em> = 20
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Pythagorean Theorem]: a² + 12² = 20²
- Evaluate exponents: a² + 144 = 400
- [Subtraction Property of Equality] Isolate <em>a</em> term: a² = 256
- [Equality Property] Square root both sides: a = 16