Felicia is working on the following problem: There are 730 balls to be put into packages of 3. How many packages can be made, and how many balls will be left over? Here are Felicia's ideas:
One hundred packages of balls will use 300 balls. After another 100 packages, we will have used up 600 balls. Another 30 packages will use another 90 balls, for a total of 690 balls used. Ten more packages brings us to 720 balls used. Three more packages will bring us to 729 balls used, with 1 ball left over. All together we could make
100 + 100 + 30 + 10 + 3=243 packages of balls with 1 ball left over.
Write equations as in the text that correspond to Felicia's work. Explain how your equations show that 730 + 3 has whole number quotient 243, remainder 1.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Mathematics For Elementary Teachers With Activities
Additional Math Textbook Solutions
Pathways To Math Literacy (looseleaf)
College Algebra (Collegiate Math)
APPLIED STAT.IN BUS.+ECONOMICS
University Calculus
Introductory Statistics
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
- Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]arrow_forwardThis box plot represents the score out of 90 received by students on a driver's education exam. 75% of the students passed the exam. What is the minimum score needed to pass the exam? Submitting x and Whickers Graph Low 62, C 62 66 70 74 78 82 86 90 Driver's education exam score (out of 90)arrow_forwardExample: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]arrow_forward
- Please can you give detailed steps on how the solutions change from complex form to real form. Thanks.arrow_forwardExamples: Solve the following differential equation using Laplace transform (e) ty"-ty+y=0 with y(0) = 0, and y'(0) = 1arrow_forwardExamples: Solve the following differential equation using Laplace transform (a) y" +2y+y=t with y(0) = 0, and y'(0) = 1arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,