Answer:
27. x=7/20; 28. m= 3.7; 29. a= 5.8
30. x= 6; 31.x= 46
Step-by-step explanation:
27.
[tex]x + \frac{2}{3} = \frac{9}{ 10} [/tex]
you are going to carry the 2/3 over the equal sign. This will make the 2/3 negative so...
[tex]x = \frac{9}{10} - \frac{2}{3} [/tex]
now calculate it by finding the LCM of 10 and 3 ....this will be 30....you can just multiply the 10 and 3
now
30 into 10 goes 3 times....you will multiply this 3 with the 9 to get 27
30 into 3 goes 10 times...you will multiply this 10 with the 2 to get 20
[tex]x = \frac{27 - 20}{30}[/tex]
[tex]x = \frac{7}{30} [/tex]
Hopefully you understand
28.
[tex]1.2 = m - 2.5[/tex]
[tex]1.2 + 2.5 = m[/tex]
carry the 2.5 over the equal sign to get the m by itself...this is because you are trying to find m
when the negative number goes over the equal sign it will become positive...this is why you add it to the 1.2
m= 3.7
you can do the other on your own
the error in 30 is that the 7 should not be added to the 13 but subtracted
..this is because when you carry the positive number over the equal sign it will become negative..hence you subtract it
[tex]x + 7 = 13[/tex]
[tex]x = 13 - 7[/tex]
[tex]x = 6[/tex]
and for 31...the 12 should not be subtracted but added since when it goes over the equal sign it will become positive.
[tex]34= y - 12[/tex]
[tex]34 + 12 = y[/tex]
[tex]y = 46[/tex]
