There are 15 red marbles, 45 green marbles and 3 purple marbles in a basket. There is a blind man. What is the minimum number of marbles that the blind man has to pick to make sure that he picked at least 2 marbles of different colors?

46 marbles is the minimum number of marbles

Step-by-step explanation:

Firstly, if it results that he went on picking 45 times on a stretch, it is possible that he picks all as green marbles

However, on the 46th pick, it is sure that he would have exhausted all the green marbles and picked another marble type

Hence, what we are saying is that by his 46th pick, it is sure that he would have picked a second marble type

each side has a different length.  

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.