Answer:
y = 1.5
Step-by-step explanation:
Given x is inversely proportional to
, then the equation relating them is
y =
← k is the constant of proportion
To find k use the condition when x = 8, y = 2
2 =
=
=
( multiply both sides by 3 )
6 = k
y =
← equation of proportion
When x = 15 , then
y =
=
=
=
= 1.5
Answer:
x = 139
Step by Step Explanation:
Almost 60 years after taking my last math class, I discovered
how to turn a repeating decimal into its equivalent fraction.
-- Take the set of digits that repeats, no matter how many digits there are.
Write them as the numerator of a fraction.
-- For the denominator, write the same number of '9's.
-- If it's possible and you feel like it, simplify (reduce) the fraction.
You have 0.023 with the 23 (two digits) repeating forever.
-- Write the 23 (two digits) as the numerator.
-- Write 99 (two digits) as the denominator.
Now you have the fraction 23 / 99 . It can't be reduced.
You actually had 0.0... before the repeating part. That just
means that the fraction has been divided by 10. The real
equivalent fraction is 23 / 990 . (Which also can't be reduced.)
After so many years not knowing how to do it, this still blows my mind.
Just now, I punched " 23/990 "into my calculator, and stared in wonder
and amazement when " 0.023232323 " came up.
Answer: Juan walks 246,176 yards around the circular path.
To find the distance around the circular path, we are looking for the circumference. The formula for the circumference is: C = pi(r^2).
Simply plug in the radius and evaluate the expression.
C = 3.14(280^2)
C = 3.14(78400)
C = 246,176 yd