
Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9.7, Problem 7P
Initially, a vat is filled with 500 liters of liquid, but the liquid soon starts to drain out of the vat. Every second, 2 liters of liquid drain out. Define two variables and write and explain an equation relating quantities in this context.
Expert Solution & Answer

Trending nowThis is a popular solution!

Students have asked these similar questions
question 8
Two construction companies are bidding against one another for the right to construct a new community center building. The first construction company, Fine Line Homes, believes that its competitor, Buffalo Valley Construction, will place a bid for this project according to the distribution shown in this table: Buffalo Valley's Bid Bid Probability $160,000 0.2 $165,000 0.5 $170,000 0.2 $175,000 0.1 Furthermore, Fine Line Homes estimates that it will cost $160,000 for its own company to construct this building. Given its fine reputation and long-standing service within the local community, Fine Line Homes believes that it will likely be awarded the project in the event that it and Buffalo Valley Construction submit exactly the same bids. Find the bid that maximizes Fine Line’s expected profit. Max expected profit $ ________ . Bid that maximizes profit $ ________ .
Find the area of the surface obtained by rotating the circle x² + y² = r² about the line y = r.
Chapter 9 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 9.1 - Write an expression that uses addition and...Ch. 9.1 - Write at least three different expression for the...Ch. 9.1 - Write at least three different expressions for the...Ch. 9.1 - a.Draw a design made of small circles ( or another...Ch. 9.1 - a.Draw a design made of small circles ( or another...Ch. 9.1 - Write two different expressions for the total...Ch. 9.1 - Write two different expressions for the total...Ch. 9.1 - Write two different expressions for the total...Ch. 9.1 - Prob. 9PCh. 9.1 - An auditorium has 50 rows of seats . The 1st row...
Ch. 9.1 - Write at least two expression for the total number...Ch. 9.1 - Write an expression using multiplication and...Ch. 9.1 - Write an expression using multiplication and...Ch. 9.1 - Shade 23.25+12.15 Of rectangle in such a way that...Ch. 9.1 - Shade 3413.12 Of rectangle in such a way that you...Ch. 9.1 - Show how to make the expression 21131356+17361834...Ch. 9.1 - Show how to make the expression (3111)(15+111)...Ch. 9.1 - Write equation that use rules about operating with...Ch. 9.1 - Explain why it is not valid to evaluate 22+377...Ch. 9.1 - Write equation that uses rules about operating...Ch. 9.2 - Describe the structure of the expression 3S3+2S3Ch. 9.2 - Describe the structure of the expression...Ch. 9.2 - a. Students sometime mistakenly think that the...Ch. 9.2 - Prob. 4PCh. 9.2 - a.Write at least two expression for the area of...Ch. 9.2 - Write at least two expression for the total number...Ch. 9.2 - Write and explain two equivalent expressions that...Ch. 9.2 - Draw label and shade a rectangle so that it gives...Ch. 9.2 - Draw label and shade a square so that it gives...Ch. 9.2 - a. Write two equivalent expressions , each using...Ch. 9.2 - Tyrone has a marble collection that he wants to...Ch. 9.2 - Kenny has stickers to distribute among some goodie...Ch. 9.2 - Ted is saving for a toy. He has no money now, but...Ch. 9.2 - If you pay $7 for a night light that cost $ 0.50...Ch. 9.2 - Bonnie had B stickers . First , bonnie gave away...Ch. 9.2 - There are X quarts of liquid in a container ....Ch. 9.2 - Martin had M dollers initially . First , martin...Ch. 9.2 - There are F cups of flour in a bag . First , 38 of...Ch. 9.2 - Write a scenario for the expression (x+15)13(x+15)...Ch. 9.2 - a. Write a scenario for the expression 45x25...Ch. 9.2 - At a store , the price of an item is $ P ....Ch. 9.2 - a. Try this mathematical magic trick several...Ch. 9.3 - Explain how to solve the next equation by...Ch. 9.3 - Write an equation that can be solved by reasoning...Ch. 9.3 - In your own words explain how to solve each of the...Ch. 9.3 - Solve 4x+5=x+8 In two ways : with equation and...Ch. 9.3 - Solve 3x+2=x+8 In two ways : with equation and...Ch. 9.3 - You asked your students to solve the equations...Ch. 9.3 - Give your own example of the following equations ....Ch. 9.3 - What's wrong with the next reasoning that...Ch. 9.3 - You are walking to azkaban when you come to a fork...Ch. 9.4 - A candy bowl contains 723 candies. Some of the...Ch. 9.4 - Sarah spends 25 of her monthly income on rent....Ch. 9.4 - After Joey spent 38 of his money on an electronic...Ch. 9.4 - Katie made some chocolate truffles. She gave 14 of...Ch. 9.4 - a. Suppose you want to modify Problem 4 about...Ch. 9.4 - Write something similar to Problem 4 in which a...Ch. 9.4 - By washing cars, Beatrice and Hannah raised $2000...Ch. 9.4 - There are 1700 bottles of water arranged into 4...Ch. 9.4 - Write something simiiar to Problem 8 in which a...Ch. 9.4 - One day a coffee shop sold 360 cups of coffee,...Ch. 9.4 - A 1-pound-5-ounce piece of cheese is divided into...Ch. 9.4 - A hot dog stand sold 38 of its hot dogs before...Ch. 9.4 - Write something similar to Problem 12 in which the...Ch. 9.4 - Julie bought donuts for a party - 16 of the donuts...Ch. 9.4 - Shauntay caught twice as many fireflies as Robert....Ch. 9.4 - At a frog exhibit, 35 of the frogs are bullfrogs,...Ch. 9.4 - {See Problem 15 in Section 9.2) Bonnie had some...Ch. 9.4 - (See problem 18 in Section 9.2 ) there are some...Ch. 9.4 - Not every algebra word problem is naturally...Ch. 9.4 - Not every algebra word problem is naturally...Ch. 9.4 - In a group of ladybugs there were 10% more male...Ch. 9.4 - A farmer planted 65% of his farmland with onions,...Ch. 9.4 - Some exercise equipment is on sale for 20% off....Ch. 9.4 - Clevere makes 30% more money than Shane. If...Ch. 9.4 - Two stores had a combined total of 210 teddy...Ch. 9.4 - If 23 of a cup of juice gives you 120% of your...Ch. 9.4 - Erika is weaving a wool blanket. So far, she has...Ch. 9.4 - Jane had a bottle filled with juice. At first, she...Ch. 9.4 - A flock of geese on a pond was being observed...Ch. 9.5 - Assume that the pattern of a square followed by 2...Ch. 9.5 - Assume that the pattern of a circle followed by 3...Ch. 9.5 - Assume that the repeating pattern of 4 squares...Ch. 9.5 - What day of the week will it be 1000 days from...Ch. 9.5 - Figure 9.52 shows a sequence of figures made of...Ch. 9.5 - Consider the arithmetic sequence whose first few...Ch. 9.5 - Consider the arithmetic sequence whose first few...Ch. 9.5 - Draw the first 5 figures in a sequence of figures...Ch. 9.5 - a. Consider the arithmetic sequence 5, 7,9,11,13,...Ch. 9.5 - Consider an arithmetic sequence whose third entry...Ch. 9.5 - Consider an arithmetic sequence whose fourth entry...Ch. 9.5 - Consider an arithmetic sequence whose fifth entry...Ch. 9.5 - Consider the geometric sequence whose first few...Ch. 9.5 - Consider the geometric sequence whose first few...Ch. 9.5 - Consider the geometric sequence whose first few...Ch. 9.5 - Describe four different rules for determining the...Ch. 9.5 - Describe four different rules for determining the...Ch. 9.5 - Describe four different rules for determining the...Ch. 9.5 - Suppose you owe $500 on a credit card that charges...Ch. 9.5 - Suppose you put $1000 in an account whose value...Ch. 9.5 - The Widget Company sells boxes of widgets by mail...Ch. 9.5 - Suppose a scientist puts a colony of bacteria...Ch. 9.5 - a. Use a calculator to compute 2161 . Are you able...Ch. 9.6 - Describe your own real or realistic context in...Ch. 9.6 - For each of the following descriptions, draw a...Ch. 9.6 - Consider the followmg scenario: Over a penod of 5...Ch. 9.6 - A patient receives a drug. This situation gives...Ch. 9.6 - Sketch three different graphs that could fit with...Ch. 9.6 - Sketch three different graphs that could fit with...Ch. 9.6 - Solar panels produce electricity by collecting...Ch. 9.6 - For each of the three scenarios below, sketch...Ch. 9.6 - An object is dropped from the top of a building....Ch. 9.6 - A skydiver jumps out of a plane. At first, the...Ch. 9.6 - Water is being poured at a steady rate into a...Ch. 9.6 - Write a story or describe a scenario that gives...Ch. 9.6 - Draw two different graphs of two different...Ch. 9.6 - Consider the doubling plus one function: The...Ch. 9.6 - Prob. 15PCh. 9.6 - Explain why the next proposed function is not a...Ch. 9.6 - The levels of a certain toxin in a lake have been...Ch. 9.7 - A small-order coffee company charges $12 for each...Ch. 9.7 - A company prints T-shirts with original designs....Ch. 9.7 - A company sells mail order T-shirts. The company...Ch. 9.7 - Today a T-shirt company has 500 T-shirts in stock....Ch. 9.7 - in a problem about the weight of animal feed in a...Ch. 9.7 - Some students are washing cars for a fund-raiser....Ch. 9.7 - Initially, a vat is filled with 500 liters of...Ch. 9.7 - Max was asked to write an equation corresponding...Ch. 9.7 - To cook rice, you need to use 112 times as much...Ch. 9.7 - A company sells 314 times as many tissues as...Ch. 9.7 - Show how to use strip diagrams to help you...Ch. 9.7 - After a vine that was 18 inches long was planted,...Ch. 9.7 - A mail order coffee company charges $12 for each...Ch. 9.7 - Assuming that the following tables are for linear...Ch. 9.7 - Consider a function that has the following...Ch. 9.7 - Consider a function that has the following...Ch. 9.7 - At one stage in a factory’s candy production,...Ch. 9.7 - A school bought 100 rolls of wrapping paper for a...Ch. 9.7 - For the spring fling, a school bought 200 slices...Ch. 9.7 - The Gizmo store sells gizmos. You pay $3 for the...Ch. 9.7 - At a store that sells fences, if you buy 15 feet...Ch. 9.7 - Describe a real-world scenario in which two...Ch. 9.7 - Consider these two relationships: Relationship 1:...Ch. 9.7 - For each of the following, either define variables...Ch. 9.7 - Compare and contrast inversely proportional...Ch. 9.7 - For each of the following tables, determine what...Ch. 9.7 - For each of the following tables, determine what...Ch. 9.7 - Find two different equations for two different...Ch. 9.7 - Consider the function whose equation is y2=x22x...Ch. 9.7 - An object is thrown down from the top of a...Ch. 9.7 - An oil company has determined that its profit...Ch. 9.7 - During a 6-hour rainstorm, rain fell at a rate of...Ch. 9.7 - In the country of Taxo, each household pays taxes...Ch. 9.7 - A company that sells coffee has determined that if...Ch. 9.7 - A projectile is launched. After tseconds, the...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Silvia wants to mix a 40% apple juice drink with pure apple juice to make 2 L of a juice drink that is 80% appl...
Beginning and Intermediate Algebra
1. How much money is Joe earning when he’s 30?
Pathways To Math Literacy (looseleaf)
For Problems 23-28, write in simpler form, as in Example 4. logbFG
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
23. A plant nursery sells two sizes of oak trees to landscapers. Large trees cost the nursery $120 from the gro...
College Algebra (Collegiate Math)
Complete each statement with the correct term from the column on the right. Some of the choices may not be used...
Intermediate Algebra (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- question 3 part a and barrow_forwarddo question 2arrow_forward21. ANALYSIS OF LAST DIGITS Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? Does there appear to be a gap in the frequencies and, if so, how might that gap be explained? What do you know about the accuracy of the results? 3 4 555 0 0 0 0 0 0 0 0 0 1 1 23 3 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9arrow_forward
- A side view of a recycling bin lid is diagramed below where two panels come together at a right angle. 45 in 24 in Width? — Given this information, how wide is the recycling bin in inches?arrow_forwardf'(x)arrow_forwardIf you are using chatgpt leave it I will downvote .arrow_forwardTemperature measurements are based on the transfer of heat between the sensor of a measuring device (such as an ordinary thermometer or the gasket of a thermocouple) and the medium whose temperature is to be measured. Once the sensor or thermometer is brought into contact with the medium, the sensor quickly receives (or loses, if warmer) heat and reaches thermal equilibrium with the medium. At that point the medium and the sensor are at the same temperature. The time required for thermal equilibrium to be established can vary from a fraction of a second to several minutes. Due to its small size and high conductivity it can be assumed that the sensor is at a uniform temperature at all times, and Newton's cooling law is applicable. Thermocouples are commonly used to measure the temperature of gas streams. The characteristics of the thermocouple junction and the gas stream are such that λ = hA/mc 0.02s-1. Initially, the thermocouple junction is at a temperature Ti and the gas stream at…arrow_forwardA body of mass m at the top of a 100 m high tower is thrown vertically upward with an initial velocity of 10 m/s. Assume that the air resistance FD acting on the body is proportional to the velocity V, so that FD=kV. Taking g = 9.75 m/s2 and k/m = 5 s, determine: a) what height the body will reach at the top of the tower, b) how long it will take the body to touch the ground, and c) the velocity of the body when it touches the ground.arrow_forwardA chemical reaction involving the interaction of two substances A and B to form a new compound X is called a second order reaction. In such cases it is observed that the rate of reaction (or the rate at which the new compound is formed) is proportional to the product of the remaining amounts of the two original substances. If a molecule of A and a molecule of B combine to form a molecule of X (i.e., the reaction equation is A + B ⮕ X), then the differential equation describing this specific reaction can be expressed as: dx/dt = k(a-x)(b-x) where k is a positive constant, a and b are the initial concentrations of the reactants A and B, respectively, and x(t) is the concentration of the new compound at any time t. Assuming that no amount of compound X is present at the start, obtain a relationship for x(t). What happens when t ⮕∞?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityIntermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell

Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University

Intermediate Algebra
Algebra
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage


Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY