The answer is B. a_n = 7n+10
They can ride their bike 12 miles because in 6 minutes they ride 0.8 miles so in 1.5 hours they ride 12 miles. 0.8 * 10 = 8 miles 1 hour so 0.8 * 5 = 4 miles 0.5 hours 8 miles + 4 miles =12 miles 1 hour + 0.5 hours = 1.5 hours
Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35
Explanation: This is a linear equation because it's written in slope-intercept form or <em>y = mx + b</em> where the multiplier or the coefficient of the x-term represents the slope of the line and the<em> b</em> represents the constant term.
So the slope will be the coefficient of the <em>x-term</em> which means the number that is in front of the <em>x</em> which in this case is -5/4.
The y-intercept is the constant term which is +8
