Answer:
0.6 miles
Step-by-step explanation:
Given that,
A biking track has a length of 3168 feet (ft).
We need to find the distance in miles.
We know that, 1 mile = 5280 foot
1 feet = (1/5280) mile
Now, we can find the distance in miles by multiplying 3168 by (1/5280).
So, the distance covered is 0.6 miles.
16.4041995 rounding that would be 16 rounding to the nearest hundredth would be 16.400 (or 16.4) yards.
<u>Answers </u>
Part 1 = 2/9
Part 2 =5/9
Part 3 =7/9
<u>Explanation</u>
To convert the a repeating decimals this are the steps;
Part 1
Let x = 0.222222... (i)
10x = 2.222222... (ii)
Subtract equation (i) from equation(ii)
10x = 2.222222....
<u> -x = 0.222222....</u>
9x = 2.00000..
∴ 9x = 2
Divide by 9 both sides;
x = 2/9
Part 2
Let x = 0.5555...
10x = 5.5555...
subtract equation (i) from equation (ii).
10x = 5.5555..
<u> - x = 0.5555..</u>
9x = 5.0000..
∴ 9x = 5
x = 5/9
Part 3
Let x = 0.7777....
10x = 7.7777...
Subtracting equation (i) from equation (ii)
10x = 7.7777...
<u> -x = 0.7777...</u>
9x = 7.000..
∴ 9x = 7
x = 7/9
Pattern noted
When converting the repeating decimals to fraction only one number was repeating. This made the three decimals have the same fraction.
Lets put the equation into slope intercept form
y+2=-3(x-5)
y+2=-3x+15
subtract 2 from both sides
y=-3x+13
The formula for slope intercepts form is
y=mx+b where m=slope and b=y-intercept
So -3 is the slope
Answer=-3
Simplifying
n + -16 = m
Reorder the terms:
-16 + n = m
Solving
-16 + n = m
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + n = 16 + m
Combine like terms: -16 + 16 = 0
0 + n = 16 + m
n = 16 + m
Simplifying
n = 16 + m
