Answer:
x = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x + 1 = 3 - 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides:                    6x + 1 = 3
- Subtract 1 on both sides:                6x = 2
- Divide 6 on both sides:                   x = 1/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute:                    4(1/3) + 1 = 3 - 2(1/3)
- Multiply:                        4/3 + 1 = 3 - 2/3
- Add/Subtract:               7/3 = 7/3
Here we see that 7/3 does indeed equal 7/3.
∴ x = 1/3 is a solution of the equation.
 
        
                    
             
        
        
        
We are told that the first term is 2.  The next term is 7(2) = 14; the third term is 7(14) = 98.  And so on.  So, the first term and the common ratio (7) are known.
The nth term of this geometric series is a_n = 2(7)^(n-1).
Check:  What is the first term?  We expect it is 2.  2(7)^(1-1) = 2(1) = 2.  Correct.
What is the third term?  We expect it is 98.  2(7)^(3-1) = 2(7)^2 = 98.  Right.<span />
        
             
        
        
        
Answer:
I wanna say that,
Time to Climb (min) <u>Dependent Variable</u>
Height (ft<u>)</u> <u>Independent Variable</u>
Hope this helps, let me know if I'm wrong.
<u></u>
 
        
                    
             
        
        
        
Answer:
B
Step-by-step explanation:
Because i did this problem
 
        
             
        
        
        
7 1/4 - 2 4/5
Turn the denominator into a common denominator for both fractions:
7 5/20 - 2 16/20
To subtract easier, turn the fractions into an improper fraction:
145/20 - 56/20
Subtract the numerators:
145 - 56 = 89 ---> 89/20
Simplify (to get an answer of): 
4 9/20 
Add labels:
Joseph has 4 9/20 ounces of candy left