The equation for this model is y = 3.96x + 2.
Given the equation the slope is the rate of car enters the garage.
So it is 3.96 about
C.) 4 cars per hour
Answer:
7. r = -5
8. x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
True just add two each time
Answer:
5,000
Step-by-step explanation:
x× 5 %=250
x=250×100÷5=5000
Answer:
x= 12
Step-by-step explanation:
∠QPR +∠PQR= ∠HRQ (ext. ∠ of △PQR)
30° +(4x +2)°= (8 +6x)°
32 +4x= 8 +6x <em>(simplify)</em>
<em>Bring x terms on 1 side, constants to the other:</em>
6x -4x= 32 -8
2x= 24 <em>(</em><em>simplify</em><em>)</em>
x= 24 ÷2 <em> (÷2 on both sides)</em>
x= 12
<u>Method</u><u> </u><u>2</u><u>:</u>
∠PRQ= 180° -30° -(4x +2)° (∠ sum of △PQR)
∠PRQ= (148 -4x)°
∠PRQ +∠HRQ= 180° (adj. ∠s on a str. line)
(148 -4x)° +(8 +6x)°= 180°
148 -4x + 8 +6x= 180
156 +2x= 180
2x= 180 -156
2x= 24
x= 24 ÷2
x= 12