A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 9th caller receives a limo ride. Which caller will be the first one to win both?

The 36th caller will be the first one to win both

Step-by-step explanation:

Given: A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 9th caller receives a limo ride.

To find which caller would be the first one to win both, we will find the LCM.

Prime factorization of 9 and 12:

12 = 3x 2x 2

9 = 3x 3

 [Where LCM=Least common multiple]

Therefore, the 36th caller will be the first one to win both.

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.