5 - 10 x = 3
10 x = 5 - 3
10 x = 2
x = 10 : 5
x = 0.2
The rate is : 0.2 gallons / minute
5 - t * 0.2 = 0
t * 0.2 = 5
t = 5 : 0.2
t = 25 min
Answer: After 25 minutes the container will be empty.
        
             
        
        
        
Answer:
$3,078.04
Step-by-step explanation:
-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.
-Her tax is then calculated as;
#10% bracket;

#12% Tax bracket:

The total tax=970+2108.04=$3,078.04
Hence, Lynn owes $3,078.04 in taxes.
 
        
             
        
        
        
Answer:
64
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
A  ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB²  = 45 = r²
Then area of quarter circle is
A =  × πr² =
 × πr² =  × π × 45 ≈ 35.3
 × π × 45 ≈ 35.3
 
        
             
        
        
        
Answer:
2.749
Step-by-step explanation:
Use the polar distance formula:


2.749