Aschool cafeteria sold 1,600 slices of pizza the first week, 800 the second week, 400 the third week if this patter continues, in what week will the cafeteria sell 50 slices? explain your anwser

6th week

Step-by-step explanation:the number of weeks is moving in a geometric proportion

Remember Tn = ar^n-1

Tn = 50, r = 800/1600= 1/2, a = 1600

So 50 = 1600 * 1/2^ n-1

50/1600 = 1/2^ n-1

1/32 = 1/2^ n-1

2^ -5 = 2^ -n+1

Equating powers

-5 = -n + 1

-n = -6

n = 6

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.