/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 23 Find the amount of manure produc... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 23

Find the amount of manure produced by the herd of cows in 1 year (365 days). Write the answer using the word million. "Can"t you guys do something with this stuff - make a flowerpot or something?" Those were fateful words for brothers Ben and Matthew Freund, second- generation dairy farmers who at the time maintained a herd of 225 Holsteins in East Canaan. Each cow produces 120 pounds of manure daily. (Source: www.nytimes.com, March 1, 2009)

Short Answer

Expert verified
0.00493 million tons

Step by step solution

01

Calculate Daily Manure Output

First, determine the total amount of manure produced by the entire herd of cows in one day. Multiply the number of cows by the amount of manure each cow produces daily. Number of cows = 225 Manure per cow per day = 120 pounds Total daily manure = 225 * 120 pounds
02

Compute Total Annual Manure Output

Next, calculate the total amount of manure produced in a year by multiplying the daily manure output by the number of days in a year. Total daily manure = 27000 pounds Number of days = 365 Total annual manure = 27000 * 365 pounds
03

Convert the Answer to Tons

Since there are 2000 pounds in a ton, convert the annual manure amount from pounds to tons. Total annual manure (in pounds) = 9855000 pounds Total annual manure (in tons) = 9855000 / 2000 tons
04

Express the Answer in Millions of Tons

Finally, convert the amount from tons to millions of tons to meet the requirement of expressing in terms of million. Total annual manure (in tons) = 4927.5 tons Total annual manure (in millions of tons) = 4927.5 / 1000000

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

daily output calculation
To start solving the problem, we need to figure out the daily manure output from the herd of cows. Each cow produces 120 pounds of manure every day.
If we want to know the total manure produced by the entire herd, we need to multiply the number of cows by the manure each cow produces daily.
We have 225 cows and each produces 120 pounds of manure daily. So, \[ Total\text{ }Daily\text{ }Manure = 225 \times 120 \text{ }pounds = 27000 \text{ }pounds \] This step gives us the amount of manure produced by all the cows in one day.
annual conversion
Next, we use the daily output to calculate the total manure produced in a year. There are 365 days in a year, so we multiply the total daily manure by 365.
\[ Total\text{ }Annual\text{ }Manure = 27000 \text{ }pounds \times 365\text{ }days = 9855000 \text{ }pounds \] This multiplication shows us the total manure the herd produces in one year.
unit conversion
To make the number more understandable, we convert pounds to tons. There are 2000 pounds in a ton. So, we divide the annual manure in pounds by 2000.
\[ Total\text{ }Annual\text{ }Manure\text{ }(in\text{ }tons) = \frac{9855000 \text{ }pounds}{2000} = 4927.5\text{ }tons \] This conversion helps by presenting the annual manure output in a more familiar measure for large quantities.
problem-solving steps
Now, let鈥檚 summarize all the steps we took to solve this problem:
  • First, we calculated the daily manure output by multiplying the number of cows by the manure each cow produces daily.
  • Next, we computed the total manure output in a year by multiplying the daily output by the number of days in a year.
  • Then, we converted the annual output from pounds to tons by dividing by 2000.
  • Lastly, we could express the final result in millions of tons if needed by dividing by 1,000,000.
These steps allow us to break down the problem and solve it in a clear and structured way, ensuring we understand each step and conversion.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The intensity of \(\mathrm{X}\)-ray radiation depends on the distance from the source of radiation. If the distance from the source of radiation changes from \(D_{1}\) to \(D_{2}\), the intensity changes from intensity \(I_{1}\) to \(I_{2}\). The formula for finding the new intensity is \(I_{2}=\frac{I_{1} \cdot\left(D_{1}\right)^{2}}{\left(D_{2}\right)^{2}}\). When \(D_{1}\) is \(25 \mathrm{~m}\), the intensity \(I_{1}\) is 620 roentgen per hour. Find the intensity of radiation \(I_{2}\) if \(D_{2}\) is \(5 \mathrm{~m}\).

If you use e-mail to communicate with your instructor, your instructor may prefer that you present the information more formally than you would if you were text messaging or using social media such as Twitter. Write an e-mail to your instructor that explains that you are too ill to come to class for a test. Ask what you should do about missing the exam. If your college does not have guidelines for writing e-mail, use the format shown below. To: (Instructor e-mail address) Subject: (include the name of your class and section number or class time) Salutation: (use the title and name preferred by your instructor) Body: (write in complete standard English sentences; check your spelling. Do not use smiley faces, other emoticons, or inappropriate language.) Signature: (use your full name)

Problem: Complete the "Understand the problem," "Make a plan," and "Complete the plan" steps. A 20 -acre field is going to be divided into building lots. The area of each lot is \(\frac{2}{5}\) acre. Find the number of lots in the development. Incorrect Answer: The unknown is the number of lots: \(L\) = number of lots. To find the number of lots, multiply the area by the number of lots. $$ \begin{aligned} &L=\left(\frac{2}{5}\right)(20) \\ &L=8 \text { lots } \end{aligned} $$

Evaluate \(8 \mathrm{~km}+4 \mathrm{~m}\). Write the answer in meters.

$$ 2300\( earning \)1.75 \%$ annual simple interest for 7 years.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.