Answer:
see the explanation
Step-by-step explanation:
we have
0.888...
This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)
Convert to fraction number
Let
x=0.888...
10x=8.888...
Subtract 0.888... from 8.888... to remove the decimal
10x-x=8.888...-0.888...
9x=8
Solve for x
x=8/9
therefore
Mike fraction is incorrect
because 4/5=0.8
0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)
Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal
Beth is correct 
because
If you divide 8/9
the result is 0.8888888...
 
        
             
        
        
        
Sanji scored 44 points more in the third round than in the first round.
        
             
        
        
        
Answer:
y=- x+
x+
Step-by-step explanation:
First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find
m=(y2-y1)/(x2-x1)
   =(2-(-4))/(-2-1)
   =6/-3
   =-2
in this equation the slope is 2, and to find the first equation, use y=mx+b
use the point (1, -4) to find b
-4=(2)(1)+b
-4=2+b
b=-6
the first equation of the line is y=2x-6
to find the x intercept of that line substitute 0 for y
0=2x-6
2x=6
x=3
the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2
for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b
y=mx+b
0=(-1/2)(3)+b
b=3/2
thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=- x+3/2
x+3/2
 
        
             
        
        
        
Answer:
1400
Step-by-step explanation:
Because 
7 x 2 = 14 
Then add on the two zeroes at the end 
1400
 
        
             
        
        
        
Basically, we need to plug in the given values for the variables 

 and 

 into the given expression 

. First off, we can plug in all the given values into the expression, giving us 

. Now, perform the operations on the inside of the parentheses. Doing this, we get 

. Now, we use the distributive property to simplify. This gives us 

. Finally, when we add the two numbers, we get 

. Hope this helped!