Answer:
x = 10
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 Equation</u>
(7x - 1) + (13x - 19) = 180
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 20x - 20 = 180
- Isolate <em>x</em> term: 20x = 200
- Isolate <em>x</em>: x = 10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: (7(10) - 1) + (13(10) - 19) = 180
- Multiply: (70 - 1) + (130 - 19) = 180
- Subtract: 69 + 111 = 180
- Add: 180 = 180
Here we see that 180 does indeed equal 180.
∴ x = 10 is the solution to the equation.
Answer: The car would need 0.3 gallons of fuel to travel 20km.
Step-by-step explanation: 40mile x 1.6km = 64km
1 gallon 1 mile 1 gallon
20km ÷ 64km = 0.3125
Answer:
The period is 
and the amplitude is 3.
Step-by-step explanation:
The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.
The period of the function 
is 
and the amplitude is 
Consider the function 
The period for the function 
is
and the amplitude is 3.
Answer:
1 A is correct, 2 D is correct, 3 D is correct, 4 B is correct
Step-by-step explanation:
I i'm now that the sign is greater than
