Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

3 A farmer has 580 square bales of hay in his shed with total mass 9850 kg.
The farm has 8 yards of animals. Each day, the farmer feeds out 2 bales of hay to each yard.
a Write an arithmetic sequence for the number of bales of hay remaining after n days.
b Write an arithmetic sequence which approximates the mass of hay remaining after n days.

Sagot :

Answer:

a) 580 - 16n

b) 9850 - 271.72n

Step-by-step explanation:

a) starting number of bales = 580

each day, the farmer feeds out 2 bales of hay to each yard. he has 8 yards, so he feeds out 2 bales 8 times for a total of 2 * 8 = 16 bales. Therefore, he loses 16 bales each day

After the first day, he has 580-16 = 564 bales. After the second, he has 564-16 = 548 bales, and so on. He loses 16 bales n times for n days, and as a result, his final amount of bales is

original amount - amount lost = 580 - 16n

b)

First, we can calculate how much a bale weighs.

average = sum/count = 9850 kg / 580 ≈ 17 kg

Therefore, as he loses 16 bales of hay, he loses 17 kg 16 times, or approximately 271.72 kg of hay every day. For n days, he loses 271.72n kg. This brings his final amount to be

starting - amount lost = 9850 - 271.72n

a)  Arithmetic sequence for the number of bales of hay remaining after n days :580 - 16n

b) Arithmetic sequence which approximates the mass of hay remaining after n days : 9850 - 271.72n

What is sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A)  number of bales = 580

As each day, the farmer feeds out 2 bales of hay to each yard.

So, he has 8 yards, so he feeds out 2 bales

Thus, he loses 16 bales each day

After the first day,

580-16 = 564 bales.

After the second,

564-16 = 548 bales, and so on.

He loses 16 bales for n days, and his final amount of bales = 580 - 16n

b) Average = 9850 kg / 580 = 17 kg

So,  final amount to be

starting - amount lost = 9850 - 271.72n

Learn more about sequence here:

https://brainly.com/question/21961097

#SPJ5

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.