Nick and Desiree own a camping supply store and just put in an order for flashlights and sleeping bags. The flashlights cost $12 each and the sleeping bags cost $45 each. If the total cost for the flashlights and sleeping bags were $1785 and they ordered 102 items, how many sleeping bags and flashlights did Nick and Desiree order? Answer Choices:

30 sleeping bags and 72 flashlights

12 flashlights and 45 sleeping bags

85 flashlights and 17 sleeping bags

85 sleeping bags and 17 flashlights

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.

3

step-by-step explanation: