Answer:

Step-by-step explanation:
move the terms with 
 to the left side of the equation:
add 3x to both sides

add 3x and 3x

move all term not containing 
 to the right side:
add 1 to both sides of the equation


divide each term by 6


simplify the fraction

 
        
             
        
        
        
Answer:
 7.04 trillion = 7.04 x 10¹²
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Length = 56
Step-by-step explanation:
Perimeter = Length + Length + Width + Width
Perimeter = 2L + 2W
2L + 2W = 204
2L + 2(46) = 204
2L + 92 = 204
Subtract 92 from both sides
2L = 112
Divide both sides by 2
L = 56
Length = 56
 
        
             
        
        
        
Answer:
I believe that the answer is 4.13 weeks
Step-by-step explanation:
Since she already has $52 you can automatically start by doing:
$350 - $52 = $298
Since she works 8 hours a week and earns $9 per hour:
8 hours x $9 = $72
Then, take $298 ÷ $72 = 4.13 or about 4 weeks
I divide 298 by 72 because $72 is how much she will earn per week, and by dividing this number by the total amount that she has left to pay narrows it down to about how long she has to save for.
Hope this helps!!
 
        
             
        
        
        
Let 
 be the cat's speed just as it leaves the edge of the table. Then taking the point 1.3 m below the edge of the table to be the origin, the cat's horizontal position at time 
 is given by

and its height is

where 
 is 9.8 m/s^2, the magnitude of the acceleration due to gravity.
The time it takes for the cat to hit the ground is 
 with

(Unfortunately, this doesn't match any of the given options...)
The cat lands 0.75 m away (horizontally) from the edge of the table, so that its speed 
 was

(Again, not one of the answer choices...)
I'm guessing there's either a typo in the question or answers.