5) 20 gallons of water was shared equally among 6 families. How many gallons of water did each family get?

3 1/3 gallons

Step-by-step explanation:

There are 20 gallons and 6 families. We want to divide the 20 gallons equally amongst the 6 families. The key word here is "divide". We want to use division:

20 gallons ÷ 6 families = 20/6 gallon per family = 10/3 gallons per family

= 3 gallons per family

Thus, each family got 3 1/3 gallons.

Hope this helps!

3⅓ gallons per family

Step-by-step explanation:

20/6 = 10/3

= 3⅓

answer: 20

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3