Home > Algebra > Rational Equations Using Proportions

How do you solve #10/14=30/m#?

Answer 1

Genesis Allen

#m=42#

We want to get rid of those fractions, so we will multiply the equation by denominators: #10/14=30/m# ...#*14m#

We will get: #(10*14m)/14=(30*14m)/m#

#(10*cancel14m)/cancel14=(30*14cancelm)/cancelm# #larr#cancel

#10m=30*14 larr#divide by 10

#m=3*14=42#

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

Answer 2

Eli Assouline

#"Answer : " m=42#

#"if "a/b=c/d" than "a*d=b*c#

#10/14=30/m#

#10*m=14*30#

#"let us divide both sides of equation by 10"#

#(cancel(10)*m)/(cancel(10))=(14*3cancel(0))/(1cancel(0))#

#m=14*3#

#m=42#

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

Answer 3

Eva Adamson

#m=42#

Given:

#10/14 = 30/m#

We can divide both sides of the equation by #10# to get:

#1/14 = 3/m#

Then take the reciprocal of both sides to get:

#14 = m/3#

Multiply both sides by #3# to get:

#42 = m#

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

Answer 4

Eli Assouline

To solve the equation 10/14 = 30/m, you can cross-multiply. Multiply 10 by m and 14 by 30, then set the two products equal to each other. Simplify the equation and solve for m.

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

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.