Explain and answer this , will be much appreciated; )

So, the multiples for 4 and 10 are...
4,8,12,16,20...
10,20,30,40,50...
So, basically LCM means least common multiple which just means that from the two numbers that you're given (4 & 10) there is one number that goes into both of them and is the smallest amount.

So for 4 and 10, the numbers that go into both of them are 20 and 40. out of both of these numbers 20 is the lowest, making it the LCM. Hopefully that helped, and if it didn't then I'm sorry. Good luck with the rest queen.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is