Two teachers each buy pizzas for a party all of the pizzas are the same teacher a pizzas were cut into 6 equal slices teacher b pizzas were cut into 8 equal slices which teachers pizzas wete cut into larger slices use what you know about fractions to explain your answer

Pizzas teacher A were cut into larger slices

Step-by-step explanation:

step 1

Let

x-----> the total area of one pizza

we know that

Teacher A

Pizzas were cut into 6 equal slices

so

The area of each slice is

Teacher B

Pizzas were cut into 8 equal slices

so

The area of each slice is

step 2

The area of the slice teacher A multiply by 4/4

The area of the slice teacher B multiply by 3/3

step 3

Compare the fractions

therefore

Pizzas teacher A were cut into larger slices

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

(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