Brett, lucy, and donnie are each making trips carrying bags of mulch from the back losing dock to the front of the store. it takes brett 3 minutes to make a trip lucy 5 minutes to make a trip and donnie 6 minutes to make a trip. how many minutes until they all arrive back at the same time?

30 minutes.

Step-by-step explanation:

Given : Brett, Lucy, and Donnie are each making trips carrying bags of mulch from the back losing dock to the front of the store.

It takes Brett 3 minutes to make a trip , Lucy 5 minutes to make a trip and Donnie 6 minutes to make a trip.

Then , the number of minutes at which they all arrive back at the same time= Least common multiple of 3,5, and 6 i.e. LCM(3, 5, 6)

Prime factorization :-

Then,

Hence, they all arrive after 30 minutes at the time.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.