Explore BrainMass

Consumer Mathematics

Solve: Ratio and Proportion

1. A lawyer bills her clients $250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax). 2. A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a ma

Continued Fractions

Show that each of the following holds: [1,1,1,1,1,1,....]^2 = [2,1,1,1,1,1,....] [1,2,2,2,2,2,....]^2 = [2] [1,1,1,1,1,1,....][0,1,1,1,1,1,....] = [1] In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false). Note:We can write down any


1. 2x - 5 / (x - 2)(x + 6) + x^2 - 2x + 1 / (x - 2)(x + 6) 2. y + 4 - y - 2 ------- ------ 10 14 3. 2/(x-3) + 3/(3-x) 4. 3 - c - 4 - 5

Sales Tax

How much is 5¼% sales tax on a $2500 new computer?

Ratio and Proportion, geometry,

Problem #'s 1-20, these I need help completing Multiple Choice Algebraic problems 1. A baseball team wins 11 of its 25 games with no ties. Write the ratio of wins to losses. A) 11/25 B) 25/11 C) 11/14 D) 14/11 2. Find the rate: 392 feet / 8 seconds A) 49 ft/s B) 0.02 ft/s C) 294 ft/s D) 94 ft/s 3.

Four Fractions Problems

Write your final answers using mixed numbers, proper fractions, or whole numbers, as appropriate. Decimal answers may not be used. Example of a satisfactory answer: Each rest stop lasts of an hour. How many hours will you need for the rest stops? Show your calculation. Express your answer as a mixed number in lowest

Word Problems Requiring Addition / Multiplication of Fractions

As a bonus, your boss has given you an extra 2 weeks of vacation to travel to Orlando, Florida and spend some time seeing the attractions. She is even letting you use a company car. However, you need to follow some travel guidelines to be able to use the car for free. This is going to take some planning. Here is an overview

Write all answers in lowest terms.

Please see attached file for full problem description. Problems #'s 18, 38, 44, 50 these I need help completing Add. Write all answers in lowest terms. 18. 13/18 + 11/18 Evaluate each of the following. Write all answers in lowest terms. 38. 9/11 - 3/11 44. Number problem. One task took 7 minutes (min), a second

Fractions and Ratios : Parts Per Billion

Show that an SO2 atmospheric concentration of 0.2 ppb(v) is equivalent to 0.4 ppb(w) stands for weight and ppb(w) refers to the number of tonnes (or grams) of SO2 in 10^9 tonnes (or grams) of air. The (v) of ppb (v) stands for volume. The ppb stands for parts per billion. Every unit volume of atmospheric air contains (on

Partial Fractions

(6x^2 + 4x + 4) / (x^3 + 2x^2) Please see the attached file for the fully formatted problem.

Volumes, Areas, Ratios and Proportions

38. if the circumference of a great circle of the Earth is about 40,000 km. the atmosphere of the Earth has an altitude of about 550 km. Find the volume of the Earth and its atmosphere. 39. A steel gas tank has the shape of a sphere. A radius of the inner surface of the tank is 2 feet long. The tank itself is made of 1/4

Adding and Subtracting Fractions

1. If one-half a number is subtracted from five-sixths of the number, the difference is _____ . 2. Simplify. 3. Simplify. See attached file for full problem description.


12 Problems Please see the attached file for the fully formatted problems.

Fractions Word Problems

A. One-Third of a number is 5 less than half of the same number. What is the number? B. The sum of a number and its reciprocal is 10/3. What is the number? C. An investment of $1500 paid interest of $45 during a certain period. How mush interest would and investment of $2000 invested at the same rate for the same length o

Ratios and Proportions : Dilution of Solution

Chemist has 400ml of solution of which 80% is alcohol. How much water needs to be added to dilute solution to 50% alcohol? Please provide step by step breakdown so I can understand how this is solved.

Rational Expressions

Dividing of fractions with rational exponents Converting to the LCD Addition of fractions with rational exponents See attached file for full problem description.

Ratios and Proportions Word Problems

The speed of a freight train is 15ph slower that the speed of a passenger train. The freight train travels 390 mi in the same time that it takes the passenger train to travel 480 mi. Find the speed of each train. It takes 60 oz of grass seed to seed 3000ft^2 of lawn. At the rate how much would be needed to seed 5000ft^2 of

Solving Equations and 'Together and Alone' Word Problems

6.8 5. By checking work records, a contractor finds that Kenny Dewitt can wire a room addition in 9 hr. It takes Betty Wohnt 7 hr to wire the same room. How long would it take if they worked together? 9. The HP Officejet 4215 All-in-one printer, fax, scanner, and copier can print in black one copy of a company's year-end