Answer:
It would take them 6 hours to fill an empty tank.
Step-by-step explanation:
Add the amount of time it takes Pipe A and Pipe B to fill an empty tank together (5 + 7) and then divide your sum by two. You should get 12 / 2 = 6.
<em>Hope This Helps!</em>
 
        
             
        
        
        
Simplify brackets 
2/5(x - 4) = 2x
Simplify 2/5(x - 4) to 2(x - 4)/5
2(x - 4)/5 = 2x
Multiply both sides by 5
2(x - 4) = 10x
Divide both sides by 2
x - 4 = 5x
Subtract x from both sides 
-4 = 5x - x
Simplify 5x - x to 4x
-4 = 4x
Divide both sides by 4
-1 = x
Switch sides
<u>x = -1</u>
 
        
             
        
        
        
Since x is the length, then x+7 has to be the width. 
The area of a rectangle can be found via the formula :
A = length * width 
So if we replace the area with the given number (170) and the length, and width, with what we assumed, we get.. 
170 = x * (x+7)
[which is.. ] 
170 = x^2 +7x
 0 = x^2 +7x - 170
And that is the answer.
        
             
        
        
        
80.8, 40.4, 20.2, 10.1 (the numbers are going in half.)
1024, 512, 256, 128. (also going in half.)
 
        
             
        
        
        
Answer:
An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:
Step-by-step explanation:
Given the equation

converting the line into the slope-intercept form y = mx+b, where m is the slope


The slope of the line = m = 5
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
Therefore, the slope of new line = – 1/m = -1/5 = -1/5
Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point
substituting the slope of new line = -1/5 and (-2, 3)



Add 3 to both sides


Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be: