x + 1/2 = 3/4
set denominators equal:
x + 2/4 = 3/4
-2/4 for both sides:
x = 1/4
there you go! hope this helps!
 
        
                    
             
        
        
        
Step-by-step explanation:
which expression there is no expression here
 
        
             
        
        
        
<u><em>Answer:</em></u>
Open
<u><em>Explanation:</em></u>
An open equation is an equation that has variables and CAN be solved
<u>Example</u>: 2x = 4 ......> can be solved giving ......> x = 2
A false equation is one where both sides can NEVER be equal
<u>Example:</u> 15 = 2(3) + 1 ..........> 15 can never be equal to 7
A true equation is one having no variables and both sides are ALWAYS equal
<u>Example:</u> 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7
Now, the given equation is:
4y + 8 = 6y + 3
Let's try to solve is:
4y + 8 = 6y + 3
6y - 4y = 8 - 3
2y = 5
y = 2.5
Therefore, the given equation contains a variable and can be solved which means that it is an open equation
Hope this helps :)
 
        
                    
             
        
        
        
Answer:
106 boys
Step-by-step explanation:
7th grade = 159 students
Boys to girls ratio: 
2:1
Find two thirds of 159:
2/3*159 = 106 boys
159-106= 53 girls
Check:
53*2 = 106
 
        
                    
             
        
        
        
Answer: 
$3027.80
Explanation: 
The compound interest formula is the following. 

where 
A = final amount 
P = principle amount 
r = interest rate / 100 
n = number of compounds per interval 
t = time interval 
Now in our case, 
A = unknown
P = $1900
r = 10.4/100
n = 12 months / year ( because the interest is compounded monthly) 
t = 4.5 yrs
Therefore, the compound interest formula gives 

Using a calculator, we evaluate the above to get 

which is our answer!