What number makes the expressions equivalent? Enter your answer in the box. 12 (–1.4m + 0.4) = m + 0.2
2 answers:
To find a number that makes the expressions equivalent, we have to solve for m. 12(–1.4m + 0.4)= m + 0.2 multiply 12 times all in parentheses (12*-1.4m) + (12*0.4)= m + 0.2 -16.8m + 4.8= m + 0.2 add 16.8m to both sides 4.8= 17.8m + 0.2 subtract 0.2 from both sides 4.6= 17.8m divide both sides by 17.8 0.2584269663= m CHECK: 12(–1.4m + 0.4)= m + 0.2 12(0.3617977528 + 0.4)= 0.2584269663 + 0.2 12(0.0382022472)= 0.4584269663 0.4584269662= 0.4584269663 ANSWER: m= 0.2584269663 Hope this helps! :)
Answer:
0.2584
Step-by-step explanation:
12 (–1.4m + 0.4) = m + 0.2
Open the bracket
-16.8m + 4.8 = m + 0.2
collect like terms
-16.8m - m = -4.8 + 0.2
-17.8m = -4.6
Divide both sides by -17.8
m = 4.6/17.8 = 46/178
m = 0.2584
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