Question

100 points. solve the equation and check the solution

a) a+2.4=7.8

b) b-1/4=3 1/2

c) 1/3s= 1/5

d) 3x=27

e) t/4=16

f) w/7=0.3

Answer 1

`a)\\a+2.4=7.8\\a=7.8-2.4\\a=5.4\\\\b)\\b-(1)/(4) =3(1)/(2) \\b-0.25=3.5\\b=3.5+0.25\\b=3.75=3(3)/(4) \\\\c)\\(1)/(3) s=(1)/(5) \\s=(1)/(5)/(1)/(3)\\s=(1)/(5)*3\\s=(3)/(5) \\\\d)\\3x=27\\x=27/3\\x=9\\\\e)\\(t)/(4) =16|*4\\t=64\\\\f)\\(w)/(7) =0.3|*7\\w=2.1`

Check:

`a)\\5.4+2.4=7.8\\correct\\\\b)\\3(3)/(4)-(1)/(4) -3(2)/(4)=3(1)/(2)\\correct\\\\c)\\(1)/(3) * \frac{3}5=\frac1{5}\\correct\\\\d)\\3*9=27\\correct\\\\e)\\(64)/(4) =16\\corect\\\\f)\\(2.1)/(7) =0.3\\correct`