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
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 =  [1,1,1,1,1,1,....][0,1,1,1,1,1,....] =  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
How much is 5¼% sales tax on a $2500 new computer?
243/ 64 / (-27/24) = ?
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.
The Task: Solve the following problem in ESSAY form. The essay should answer the following questions: 1- How did you get your answer? 2- What steps did you take? 3- Where did you begin? Why did you do what you did? and 4- Explain in detail the answer to the problem? The Problem: What is the maximum amount of money a
Describe an application for the use of ratios or proportions and how it could be useful in your daily life?
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
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
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
The Bunny Number Oney rabbit farm noticed that the rate of increase in rabbits on the farm was directly proportional to the number of rabbits at the farm at any time t. It was further noticed that the number of rabbits increased from 200 to 400 in 60 days. a. How many more days will it take to have 800 rabbit on the farm? b
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
Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5
Please show all steps to subtract and simplify equation. 2 - 5 x - 1 x + 1
Express as a single fraction in lowest terms: 2+ ((4w + 5t)/3w) + (w + t)/2w
(6x^2 + 4x + 4) / (x^3 + 2x^2) Please see the attached file for the fully formatted problem.
See attached file for full problem description.
Translate the English sentence into an equation using the variables indicated: The ratio of brick houses to wooden houses in a particular city is 5 to 11. Let b = the number of brick houses and w = the number of wooden houses.
Is it possible to write equal fractions but with different denominators?
Michael invested $25,000, part at 5% and part at 2%. If the total interest at the end of the year is $980, how much did he invest at 5%?
How much money must the club collect in order for the total amount for the charity, including the company contribution to equal $24,000?
A certain club is collecting money for a charity. A local company has agreed to contribute $1 to the charity for every $3 collected by the club. How much money must the club collect in order for the total amount for the charity, including the company contribution to equal $24,000?
See the attached file. 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
Dokken & Dietrich's Donut Company pays for 25% of its inventory purchases in the month of the purchase and the remainder in the following month. The company's inventory purchases totaled $840,000 in October, $920,000 in November, and $600,000 in December. The company also paid for new equipment with a total cost of $380,000 in
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. Section 5.1 Write each fraction in simplest form. Answer: Write each expression in simplest form. Answer: Answer: The volume of the box is represented by (x + 5x + 6) (x + 5). Find the polynomial that represents
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
Business Math : Probability, Binomial Distributions, Decision-Making, Payoff Tables and Risk Management
1. Super Cola sales break down as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men, only 30% of the diet soda is purchased by men. If a woman purchases Super Cola, what is the probability that it is a diet soda? 2. A process follows the binomial distribution with n = 8 and p = .3. Fin
Q1. Marie is entitled to one-sixth of an estate because of one relationship to the deceased and one-thirty-second of the estate because of another relationship to the deceased. What is the total portion of the estate that she will receive? Q2. Helen has 1/5 of her portfolio in the U.S. stocks, 1/8 of her portion in European s
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.