Which inequality best models the situation if variable w is the weight of dogs that would be allowed?
an apartment complex allows small dogs that weigh less than 20 pounds. show the possible weights of dogs that would be allowed.
a.
w < 20 and w must be a positive number.
b.
w < 20 and w may be a negative number.
c.
w > 20 and w must be a positive number.
d.
w > 20 and w may be a negative number.

A.

The number has to be less than 20 lbs. But, it isn't possible for an animal to weigh a -1 lb. So w has to be positive and it has to be less then 20.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116