Answer:
r=8
Step-by-step explanation:
The formula for slope is
m = (y2-y1)/ (x2-x1)
Substitute in what we know.
8/3 = (-7-1)/(5-r)
Simplify
8/3 = -8/(5-r)
We can use cross products to help us solve.
8 * (5-r) = 3 * (-8)
divide each side by 8
8/8 * (5-r) = 3 * (-8)/8
5-r = -3
Subtract 5 from each side
5-r-5 = -3-5
-r = -8
Multiply by -1
r = 8
 
        
             
        
        
        
6x +5 = 8x after make the common denominator on both sides 
5 = 2x
x = 5/2 
hope this will help you 
        
                    
             
        
        
        
Answers And Explanations:
Question 1.
Pulling out like terms :
 1.1     Pull out like factors :
   12y - 10  =   2 • (6y - 5)  
Equation at the end of step  1  :
   Divide both sides by  2  
  
  Divide both sides by  6  
  y-(5/6)  > 0
Add  5/6  to both sides
y > 5/6.
Therefore, y = 5/6
__________________________________
Question 2.
To make fractions improper with whole numbers, you must <u>multiply the Denominator by the whole number, then add the Numerator to the Product.</u>
<u></u>
First we multiply 32 by 5.
32 x 5 = 160.
Then we add the Numerator which is 1.
160 + 1 = 161, then we put it over the Denominator, your final answer is 161/5.
Therefore, 161/5 is your final answer.
Have any questions? Feel free to comment below!
Thank you and Best of Luck to you!
<u></u>
 
        
             
        
        
        
Answer:
<h2>
QS = 42</h2><h2>
</h2>
Step-by-step explanation:
R is midpoint
|<---------------- QS -------------------->|
Q---------------------R--------------------S
        8x - 51                 3x - 6
find: QS
QR = RS
8x - 51 = 3x - 6
8x - 3x = 51 - 6
5x = 45
x = 45/5
x = 9
QS = QR + RS
QS = (8x - 51) + (3x - 6)
plugin the value of x=9 into the equation above:
QS = (8(9) - 51) + (3(9) - 6)
QS = 72 - 51 + 27 - 6
QS = 42
 
        
             
        
        
        
Answer:
The answer to your question is: 5 bottles
Step-by-step explanation:
Process
First week
Divide 24 by 8
                         24/8 = 3 bottles = 1/8 
                         but Sanjay drank 3/8 = 9 bottles
And there are 24 - 9 bottles left = 15 
- Second week
Divide 15 by 3 
                        15/3 = 5 then 5 bottles = 1/3
                        but sanjay drank 2/3 = 10 bottles
Then, there are 15 - 10 bottles left  = 5