solving for t

Question

0

643

3

+12

t+4/3t=84 i know the answer is 36 but how does one get 7/3t=84? please help me I can't figure it out at all.

yhas2014 Aug 14, 2016

+5

Best Answer

Simplify the following:
t+(4 t)/3

Put each term in t+(4 t)/3 over the common denominator 3: t+(4 t)/3 = (3 t)/3+(4 t)/3:
(3 t)/3+(4 t)/3

(3 t)/3+(4 t)/3 = (3 t+4 t)/3:
(3 t+4 t)/3

3 t+4 t = 7 t:
Answer: |7t/3

Guest Aug 14, 2016

Guest · Answer 1 · 2016-08-14T02:23:38

Simplify the following:
t+(4 t)/3

Put each term in t+(4 t)/3 over the common denominator 3: t+(4 t)/3 = (3 t)/3+(4 t)/3:
(3 t)/3+(4 t)/3

(3 t)/3+(4 t)/3 = (3 t+4 t)/3:
(3 t+4 t)/3

3 t+4 t = 7 t:
Answer: |7t/3

Guest · Answer 2 · 2016-08-14T02:04:12

Solve for t:
(7 t)/3 = 84

Multiply both sides of (7 t)/3 = 84 by 3/7:
((3×7 t)/(7))/(3) = 3/7×84

3/7×84 = (3×84)/7:
(3×7 t)/(7×3) = (3×84)/7

(3×7 t)/(7×3) = (7×3)/(7×3)×t = t:
t = (3×84)/7

3×12 = 36:
Answer: | t = 36

ElectricPavlov · Answer 3 · 2016-08-14T02:29:26

t + 4/3 t = 84

7/3 t = 84

(3/7) 7/3 t = 84 (3/7)

t = 36