Jacks car averages 31.5 miles on the highway per gallon. if his fuel tank holds 13.2 gallons and it is 3/4 full then how far can he travel on the highway on his tank of gas?

311.85 miles

Step-by-step explanation:

Fuel tank holds 13.2 gallons and is 3/4 full, therefor the actual amount of fuel Jack has=(3/4)×13.2 gallons=9.9 gallons

The car travels 31.5 miles per gallon, 31.5 miles= 1 gallon

Then 9.9 gallons will take him for= (31.5×9.9) miles= 311.85 miles

(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