1) When put under an increased amount of pressure an aluminium can will be crushed. If a weight of 15kg is applied to a can it will be crushed to 32% of its original height. I have a can that is 13cm tall and apply 15kg of weight to it. What will be the height of the can now?

4.16cm

Step-by-step explanation:

Height after being crushed = height before being crushed x 32%

13cm x 0.32 = 4.16cm

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.