How do you solve #6/5=2/(5n)#?

Answer 1

#6/5 = 2/"5n" : n = 1/3 # (Decimal = 0.33333333333333333333............)

#6/5 * x/x = 2/"5n"# Solve for #x# # x = 2/6 = 0.33333333333333333......, 1/3#
#6/5 * 0.3333333/0.33333333 = 2/"5n"#
#5 * 0.333333333333333333..................... = 5n #
This means n = 0.3333333333333333333333......, #1/3#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

#n=1/3#

Multiply both sides of the equation by the #color(blue)"lowest common multiple"# (LCM) of the denominators 5 and 5n

5n is the LCM of 5 and 5n.

#cancel(5)^1 n xx6/cancel(5)^1=cancel(5n)xx2/cancel(5n)#
#rArr6n=2#

Divide both sides by 6 to find n.

#(cancel(6) n)/cancel(6)=2/6#
#rArrn=2/6=1/3#
#color(blue)"As a check"#

If this value is substituted into the right side and the result equals the left side, the problem has been solved.

#"right side "=2/(5xx1/3)=2/(5/3)==2/1xx3/5=6/5#
#rArrn=1/3" is the solution"#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

To solve the equation 6/5 = 2/(5n), you can cross multiply and solve for n.

6 * (5n) = 2 * 5 30n = 10

Divide both sides by 30 to isolate n.

n = 10/30 n = 1/3

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7