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Consumer Mathematics

Ratios and Proportions

The ratio of taxis to private automobiles int imes square @ 6pm on New Year's Eve was estimated to be 15 to 2. If there were 60 taxis, then how many private automobiles were there?

Perform operation

Perform the operation. x 3x --------------- - ------------- x^2 - 2x - 3 x^2 - 9

Five problem of Consumer Mathematics

1. 2 sizes of Jam 14 ounces for $1.29 or 32 ounces for $2.99 Which is the better buy? 2. The price of bread increased $1.39 to $1.49. To the nearest tenth of a percent what is the increase? 3. A college had a 1.5% decrease in students. If there were 22,400 students before the decrease how many students are there now?

Problem solving

Attendance at the Fireman's Ball has been declining. Each year, the number attending is 2/3 of the previous year's attendance and the cost of food is 3/4 that of the previous year. 1) In what year will the attendance be less than 1/3 the original attendance? 2) There was $1,200.00 worth of food the first year. What is the d

Fractions : Together and Alone Word Problems

Working together to get the job done. Betty and Frank, working together , can paint the exterior of a house in 3 days. Frank, by himself, can complete the job in 8 days less than Betty. How long will it take Betty to complete the job by herself?

Wave eqn (PDE)

Derive the wave eqation in 2 dimension. Give and and sovle any two examples of problem for wave eqn in 2D. Note: Please derive the equn in such a way that any one with basic understanding of PDE would easly grasp the procedure. make comment where needed. Thanks

Fractions Word Problems

1. Map is laid out in such a way that 1/2 inch equals 11 1/4 miles. How many miles are represented by 5.4 in? 2. If eggs cost 81 cents a dozen, how much would 2/3 dozen cost? 3. Williams sends 1/4 of his pay home each month. If his wife saves 1/3 of the amount he sends, what part of his pay is saved. 4. For the first three mo

Sum of infinite series

Please use Partial Fractions to find the sum of the series below. Please show/explain each step in the solution. Thank you ∞ ∑ ________6________ n=1 (2n - 1) (2n + 1 )

Time Value of Money

1. Housing rates have rapidly increased, and you have decided to save to buy your first house. You expect to save $1500 per month at the end of each month for the next 3 years, investing these funds in a mutual fund you expect to earn 6.5% interest, compounded monthly. At the end of three years of savings, you will buy the hou

Speed and Distance Word Problems

3. In two hours, Allice drove her car the same distance that Gene drove his car in 2 hours and 30 minutes. Find the speed of Gene's car given that he drove 10 mph slower than Alice drove. 4. A cruiser and a submarine leave the same port at the same time and travel eastward. The cruiser average 18 mph and the submarien 42 m

This is a financial management problem

1) I am saving for my two children. One child will enter college in 5 years, while the other child will enter college in 7 years. College costs are currently $10,000 per year and are expected to grow at a rate of 5 percent per year. All college costs are paid at the beginning of the year. I assume that each child will be in coll

Improper Fractions and Addition and Subtraction of Fractions

Leave the answer as improper fraction 1) 8/35-11/35+17/35 2) 4 6/7 + 2 8/11 3) 6 19/21 -(-2 1/3) 4) 7 2/7 - 4 5) 9/13 + 3 1/4 6) 3 7/12 - (15/12-9/12) 7) -3 5/9 - 2 1/7 + 4 2/3 8) 11/12+5/12 - x = 9/12 9) 4 7/8 + 1 3/5 - x = 3 39/40 evaluate 7x/15 - 2x/9=

Ratios and proportions

Please explain the following ratios and proportions: 1) 45 cm to 1 m 2) 10xy+ 2y/4y 3)(9x-6y)/3 4)(2x*2y/4y) 5) (x+y)/(x*2-y*2) 6) (x*2+7x+12)/(x+4)

Obtaining Data from a Frequency Table

A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings: Miles Per Gallon Frequency Less than 15 2 16-20 4 21-30

Solving Expressions with Fraction Exponents

I can get the answers usually by calculator but I need to show my work. (5^2/3)^7/2 (3^1/2)(12^1/2) 5^200 / 5^-201 (5^1/2)(11^1/2) (21^1/2)(21^1/2) also writing a decimal as a fraction in simplest form ___ .0204 = 68/333 by calculator but how would I show my work without using a calulator.

Word Problem : Complete a table and write a rational expression involving rate.

Kent can Paint a certain house by himself in x days. His helper Keith can paint the same house by himself in x + 3 days. Suppose that they work together on the job for 2 days. To complete the table, use the fact that the work completed is the product of the rate and the time. Write a Rational expression for the fraction of th

Instabilities exam paper - A3

Consider an infinite layer of fluid held between two planes z=0 and z=δ such that the temperature of the bottom boundary is... Please see attached for full question.

Fractions Word Problem

Students with a class size of under 30,have finished their tests. One third of the class received a "B," one quarter a "B-",and one sixth a "C". One eighth of the class Failed. How many students in class received an A?