ANSWER

EXPLANATION
The given equation is

Divide both sides by


Cancel out common factors on the left hand side,

For this solution to be a whole number, then

should be a factor of

.
The reason is that, factors of 6 will divide exactly in to 6 without a remainder, making the answer a whole number.
The whole numbers that are factors of 6 are,

Note that, the set of whole numbers are,
{

}
Answer:
= 12 miles per hour
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
Answer:
A
Step-by-step explanation:
all we need to do is to plug the point (6,4) in the inequality and see if it satisfies it :
pay attention that here we have x=6 y=4
4<
we simplify we get :
4<4.5-3
4<1.5 which is incorrect so (6,4) is not a solution. moreover
notice that 4 is > than 1.5 so the point lies above the line
thus the answer is : A
you can also solve this problem by graphing the line 
and plotting the point (6,4) and hence you will notice that the point is above the line
Answer:

Step-by-step explanation:
The equations of the system are



From the graph it can be seen that points
and
falls in the bounded region.
The income will be


So, the person can do 3 small jobs and build 1 and a half cabinets per day.
The maximum income will be
.