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# Algebra

### Relative speed

A child in an airport is able to cover 258 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 360 meters in 6 minutes. What is the child's running speed on a stil

### Find a Trinomial that Represents the Area of a Parallelogram and Find the Area.

Area of a parallelogram. Find a trinomial A(x) that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters. Find A(3).

### Five-Number Summary, Graphing, Quartiles, Median and Mean

Please see the attached file for the fully formatted problems. The graph and table below give the monthly principal and interest payments for a mortgage from 1999 to 2004. Use this information to predict the payment for 2005. Year Payment 1999 \$1,012 2000 \$1,073 2001 \$1,145 2002 \$1,181 2003 \$1,236 2004 \$1,278 F

### Relative speed

A child in an airport is able to cover 392 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 350 meters in 5 minutes. What is the child's running speed on a stil

### Line Equation Application Word Problem: Balance on Phone Card

The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 39 minutes of calls is 12.02 and the monthly cost for 81 minutes is 17.06 . What is the monthly cost for 75 minutes of calls?

### Child running

A child in an airport is able to cover 351 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 348 meters in 4 minutes. What is the child's running speed on a stil

### Child running

A child in an airport is able to cover 360 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 204 meters in 3 minutes. What is the child's running speed on a sti

### Word Problem : Express in Terms of Dollars Made and Weight Collected

A high school class wants to raise money by recycling newspapers. The class decided to rent a truck at a cost of \$150 for the week. The market price for recycled newspapers is \$15 per ton. Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.

### Write an equation..

A man walks at a pace of 3 miles per hour. After 2 hours he stops for a rest. Let t be time AFTER the rest when he continues on his walk. Let d be the TOTAL distance traveled since he started. Write an equation linking d and t.

### Exponential Functions : Application Problem - Radioactive Decay

The decay rate of krypton - 85 is 6.3% per day. What is the half-life? P(t) = Poe^kt

### Graphs : Logartithms, Asymptotes and Interest Word Problems (10 Problems)

Please see the attached file for the fully formatted problems. MTH133 Unit 4 - Individual Project Name: 1) State the domain of the following: a) g(x) = 5x/(x^2 + 25) Answer: b) f(x) = sqrt(x + 6) Answer: c) k(t) = 5t^2 - 6t + 2 Answer: d) k(x) = (3x - 3)/(x + 2) Answer: e) Answer: 2) Sup

### Mathematics - Linear Simultaneous Equations

A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A tree takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 17 hours to paint, and 7 hours to fire. If the workshop has 113 hours f

### Rational Equations : Excluded Values and Extraneous Solution

When solving rational equations, I must check my solutions to make sure I am not including extraneous solutions that are not actual solutions to the original equations. If any of the solutions are "excluded values" in the original equation, then they must be thrown out. Using the rational equation, x + 2

### Rectangle dimensions

Part 1: The equation A=(LP)/2-L^2 gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and

### Solve using the Zero-Factor Property

Solve using the zero-factor property. 3c(7c +4) = 0 The solution set is

### Life Expectancy of Males

Word problems In 1994, the life expectancy of males in a certain country was 72.4 years. In 2000 it was 74.5. Let E represent the life expectancy in year t and let t represent the number of years since 1994. The linear equation that fits is E(t)= _t + _ please round to the nearest tenth. Then use the equation to predict t

### Parabolic arch

Suppose you wanted to design a parabolic arch (a parabola opening downward) as a trellis in your garden. This would mean that the first term of the quadratic equation, the term with the variable raised to the second power, would have to be negative. An engineering friend suggests that the following quadratic function might be ae

### Equations

1) Solve the following algebraically. All answers should be written in rational form. a) 3x + 7 = 9 Answer: Show your work here: b)-3(x+5) +3=12 Answer: Show your work here: c) 2/3x+1/6x=2 Answer: Show your work here: d)-2x-4<10 Answer: Show your work here: 2) a)3x+4y=8 Solve for

### Equations

1.The equation C=mx+b can be used to model the monthly cost, C, of a cell phone plan where b is the flat monthly cost, m represents the cost in dollars per minute and x is the number of minutes used in the month. Choose a flat monthly rate and cost per minute and insert the values you have chosen for m and b into the equation. T

### Rational Equations

1. Solve 2. Solve 3. Solve 4. Solve the following for x 5. Solve the following equation for the variable 6. Solve 7. Solve 8. Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 3 hours. How much time would it take them to mow the lawn together? 9. The speed of a passenger train is 10mph faster tha

### Equations and Mixture Problem

I need to know how to answer these three questions please explain 1. Solve 2x+y=8 5x-y=6 2. Stella's Catering is planning a wedding reception. The bride and groom would like to serve a nut mixture containing 25% peanuts. Stella has available mixtures that are either 40% or 10% peanuts. How much of each type should b

### Straight Line Functions: A Real-Life Application Problem

Fueling Up Motorists often complain about rising gas prices. Some motorists purchase fuel efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary. Application Practice Answer the following questions. Use Equatio

### Sets, Counting, Union and Intersection

Create two sets, set A and set B. Set A will be a list of five items you personally NEED to buy the most (essential items). Set B will be a list of five items that you WANT to buy the most (fun stuff). * List the items in Set A and Set B, and also list or state the items in the union and in the intersection of Set A a

### straight line: Intersecting, Parallel or Perpendicular

The line y = 0.15x + 0.79 represents an estimate of the average cost of gasoline for each year. The line 0.11x - y = -0.85 estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006). a) Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.

### Graph and analyze Linear functions

Please help me with these problems and please show all work and steps to your solutions. This will help me better understand the problems once I have the answer and the steps for it. Thanks! Please show work 1. How do we write the equation of a horizontal line? What would be an example? 2. How do we write the equation of

### Sequences

See attachment 1. John wants to fence a 150 square meters rectangular field. He wants the length and width to be natural numbers {1,2,3,...}. What field dimensions will require the least amount of fencing? 2. List the terms that complete a possible pattern in each of the following, and classify each sequence as arit

### Several questions on arithmetic sequence, geometric sequence and recurrence sequence.

1) Consider the sequence given by: U1 = 3.9, un+1 = un - 1.7 (n = 1,2,3,...). i) What type of sequence is this? ii) Please write the first four terms of the sequence. iii) Find a closed form for the sequence. iv) Use the closed form from 1. iii to find the value of n when un = -76 2) Consider the following geometric s

### Applying Algebra in Word Problems

Please help with the following problems which involve applying algebra in word problems. In 2002, Home Depot's sales amounted to \$58,200,000,000. In 2006, its sales were \$90,800,000,000. b. What was the percent growth in Home Depot's sales from 2002 to 2006? Do all your work by using scientific notation. (source: Home

### Find an equation of the line containing the given pair of points

Find an equation of the line containing the given pair of points. (-3, -7) and (-8, -4) The equation of the line is y= simplify the answer. use integers or fractions for any numbers in the expressions.

### Several problems on rational equations and proportions

Question #11 / 25 Reduce the following rational expression to its lowest terms: Question #12 / 25 Solve for : . Simplify your answer as much as possible. Question #13 / 25 Solve the following equation for : . Simplify your answer as much as possible. Question #14 / 25 Solve for :