Answer:
x = 5
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>
4x - 1 = 7x - 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: -1 = 3x - 16
- Add 16 to both sides: 15 = 3x
- Divide 3 on both sides: 5 = x
- Rewrite: x = 5
<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>: 4(5) - 1 = 7(5) - 16
- Multiply: 20 - 1 = 35 - 16
- Subtract: 19 = 19
Here we see that 19 does indeed equal 19.
∴ x = 5 is a solution to the equation.
Using variable concepts, it is found that the explanatory variable is the age.
<h3>Explanatory and response variables:</h3>
- The variables of an experiment are divided into explanatory and response.
- The response variable is the one that is the focus of the study, that is, the one that can be changed.
- The explanatory is the one that explains the reason of the change in the response variable.
In this problem, the <u>age can effect the political party preference</u>, hence:
- The variable that is changed is the political party preference, hence it is the response variable.
- The reason is the age, hence it is the explanatory variable.
You can learn more about explanatory and response variable at brainly.com/question/22046153
As a fraction = 1*83/100
As an improper fraction = 183/100
Given
the life expectancy of a circulating coin is 30 years
the life expectancy of a circulating dollar bill is only 1/20 as long.
Procedure
c=life expectancy of a circulating coin
p= life expectancy of circulating paper money
The answer is: life expectancy of a dollar bill = 1.5 years
Answer:
2/3
Step-by-step explanation:
(3,2) and (0,0)
The slope of the line is given by
m = (y2-y1)/(x2-x1)
= (2-0)/(3-0)
2/3
