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...
Answer:
Step-by-step explanation:
Alright, lets get started.
Lets find slope for both bikes one by one
For bike 1 :
There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)
So the slope for bike 1 is : 
So the slope for bike 1 is : 
So the slope for bike 1 is : 
For bike 2 :
There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)
So the slope for bike 2 is : 
So the slope for bike 2 is : 
Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2. So, answer is option D
3x +7x+x+x should be your answer
Answer:
The area of the parallelogram is 0.1875 mile² ⇒ D
Step-by-step explanation:
The formula of the area of a parallelogram is A = b1 × h1 = b2 × h2, where
- b1 and b2 are two adjacent sides of it
- h1 and h2 are the heights perpendicular to these bases
In the given figure
∵ There is a parallelogram
∵ One of its bases is 0.25 mile
∴ b1 = 0.25 mile
∵ the height of this base is 0.75 mile
∴ h1 = 0.75 mile
→ By using the rule of the area above
∴ The area of the parallelogram = 0.25 × 0.75
∴ The area of the parallelogram = 0.1875 mile²
∴ The area of the parallelogram is 0.1875 mile²