Akshat lost 14 baseball cards from his card collection. He realized that he has lost 28 % of his cards. How many cards were in his card collection initially?

50 cards

Step-by-step explanation:

We can start by saying that his total card collection has x cards in it, meaning that 28% or 28/100 of his total cards, x, is equal to 14. Next, we can divide by 28/100 on both sides, and dividing is the same as multiplying by the reciprocal. The reciprocal of 28/100 is 100/28, so 14 * 100/28 is equal to 100/2, which is 50. We can say that 50 cards were in his card collection initially.

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.