Each group member is permitted to consume one-third of a pizza. if there are twenty-four members in the group, how many pizzas should be ordered?

8 pizzas should be ordered.

Step-by-step explanation:

To get the number of pizzas to be ordered, all we simple need to do is to multiply the numbers of the group members by the amount to be  consume by each group member. That is;

Number of pizzas to be ordered = amount to be consume by each group member × number of group members.

amount to be consume by each group member =

Number of group members = 24

We can now proceed to insert our values into the formula

Number of pizzas to be ordered = amount to be consume by each group member × number of group members.

Number of pizzas to be ordered =   × 24

                                                        =

                                                          = 8

Number of pizzas to be ordered = 8

Therefore, 8 pizzas should be ordered.

(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