Write equations for the following statements:
$(i)$ The sum of numbers x and 4 is 9.
$(ii)$ 2 subtracted from y is 8.
$(iii)$ Ten times a is 70.
$(iv)$ The number b divided by 5 gives 6.
$(v)$ Three-fourth of t is 15.
$(vi)$ Seven times m plus 7 gets you 77.
$(vii)$ One-fourth of a number x minus 4 gives 4.
$(viii)$ If you take away 6 from 6 times y, you get 60.
$(ix)$ If you add 3 to one-third of z, you get 30.
To do:
We have to write equations for the given statements.
Solution:
(i) The sum of numbers $x$ and 4 is 9. This statement can be written in the form of an equation as:
$\boxed{x+4=9}$
(ii) 2 subtracted from $y$ is 8. This statement can be written in the form of an equation as:
$\boxed{y-2=8}$
(iii) Ten times $a$ is 70.
This statement can be written in the form of an equation as:
$\boxed{10a=70}$
(iv) The number $b$ divided by 5 gives 6.
This statement can be written in the form of an equation as:
$\boxed{\frac{b}{5}=6}$
(v) Three-fourth of $t$ is 15.
This statement can be written in the form of an equation as:
$\boxed{\frac{3t}{4}=15}$
(vi) Seven times $m$ plus 7 gets you 77.
This statement can be written in the form of an equation as:
$\boxed{7m+7=77}$
(vii) One-fourth of a number $x$ minus 4 gives 4.
This statement can be written in the form of an equation as:
$\boxed{\frac{x}{4}-4=4}$
(viii) If you take away 6 from 6 times $y$, you get 60.
This statement can be written in the form of an equation as:
$\boxed{6y-6=60}$
(ix) If you add 3 to one-third of $z$, you get 30.
This statement can be written in the form of an equation as:
$\boxed{\frac{z}{3}+3=30}$
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