Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 444 of her friends to prepare 1575 bags of samples?

17.5 hour or 17 hours 30 minutes

Step-by-step explanation:

From the question, it takes

1 person = 2/3 of a minute to prepare 1 bag

1 minute = 60 seconds

2/3 of a minute =

2/3 × 60 seconds

= 40 seconds

It takes 1 person 40 seconds to make a bag

Hence,

1 bag = 40 seconds

1575 bags =

Cross Multiply

1575 × 40 seconds

= 63000 seconds

60 seconds = 1 minute

60 minutes = 1 hours

Hence, 1 hour = 60 × 60

= 3600 seconds

If 3600 seconds = 1 hour

63000 seconds = x

Cross Multiply

3600 × x = 63000

x = 63000/3600

x = 17.5 hours

Hence, it would take Ashley and her 444 friends 17.5 hours to make 1575 bag samples

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2