a.
An expression in terms of
a.

Answer to Problem 39E
The amount of wheat that should be replaced by the horse’s owner is
The amount of wheat thatshould be replaced by the cow’s owner is
Explanation of Solution
Given:
A goat, a horse and a cow eats a farmer’s stalk of wheat.
The horse eats twice as many stalks as the goat.
The cow eats twice as many stalks as the horse.
The farmer demands
Consider
Calculation:
As per the given problem
Consider
The horse eats twice as many stalks as the goat. Therefore, in terms of
The cow eats twice as many stalks as the horse.Therefore, in terms of
Hence,
The horse’s owner has to replace
Conclusion:
The amount of wheat that should be replaced by the horse’s owner is
The amount of wheat that should be replaced by the cow’s owner is
b.
The value of
b.

Answer to Problem 39E
The value of
Amount of wheat to be replaced by the goat’s owner =
Amount of wheat to be replaced by the horse’s owner =
Amount of wheat to be replaced by the cow’s owner =
Explanation of Solution
Given:
The goat’s owner has to replace
The cow’s owner has to replace
The total amount of wheat demanded by the farmer is
Concept used:
The sum of the amounts of wheat to be replaced by each animal’s owner is equal to the amount of wheat demanded by the farmer.
Calculation:
As per the given problem
Amount of wheat to be replaced by the goat’s owner =
Amount of wheat to be replaced by the horse’s owner =
Amount of wheat to be replaced by the cow’s owner =
The total amount of wheat demanded by the farmer =
The sum of the amounts of wheat to be replaced by each animal’s owner is equal to the amount of wheat demanded by the farmer.
Writing an equation using the above information,
Adding the like terms on the right hand side of the equation:
Dividing each side by
Therefore,
Hence,
The value of
Amount of wheat to be replaced by the goat’s owner =
Amount of wheat to be replaced by the horse’s owner =
Amount of wheat to be replaced by the cow’s owner =
Rounding off the answers to the nearest tenth of a tou,
Amount of wheat to be replaced by the goat’s owner =
Amount of wheat to be replaced by the horse’s owner =
Amount of wheat to be replaced by the cow’s owner =
Conclusion:
The value of
Amount of wheat to be replaced by the goat’s owner =
Amount of wheat to be replaced by the horse’s owner =
Amount of wheat to be replaced by the cow’s owner =
Chapter 2 Solutions
EP PRE-ALGEBRA,COMMON CORE-1 YEAR CODE
Additional Math Textbook Solutions
Thinking Mathematically (6th Edition)
Precalculus
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- The Course Name Real Analysis please Solve questions by Real Analysisarrow_forwardpart 3 of the question is: A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forward2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel? (b) What is the position of that passenger when the ride ends?arrow_forward
- 3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents the pendulum's displacement as a function of time. Answer: f(t) (a) Write an equation to represent the displacement of the pendulum as a function of time. (b) Graph the function. 10 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-arrow_forwardA power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forwardThe Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer:arrow_forward
- 1. Graph the function f(x)=sin(x) −2¸ Answer: y -2π 一元 1 −1 -2 -3 -4+ 元 2πarrow_forward3. Graph the function f(x) = −(x-2)²+4 Answer: f(x) 6 5 4 3 2+ 1 -6-5 -4-3-2-1 × 1 2 3 4 5 6 -1 -2+ ရာ -3+ -4+ -5 -6arrow_forward2. Graph the function f(x) = cos(2x)+1 Answer: -2π 一元 y 3 2- 1 -1 -2+ ရာ -3- Π 2πarrow_forward
- 2. Graph the function f(x) = |x+1+2 Answer: -6-5-4-3-2-1 f(x) 6 5 4 3 2 1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6arrow_forward1. The table shows values of a function f(x). What is the average rate of change of f(x) over the interval from x = 5 to x = 9? Show your work. X 4 f(x) LO 5 6 7 8 9 10 -2 8 10 11 14 18arrow_forward• Find a real-world situation that can be represented by a sinusoidal function. You may find something online that represents a sinusoidal graph or you can create a sinusoidal graph yourself with a measuring tape and a rope. • Provide a graph complete with labels and units for the x- and y-axes. • Describe the amplitude, period, and vertical shift in terms of the real-world situation.arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





