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=
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
15 Problems : Rational expressions solving equations with radical exponents, Solving equations and Ratio and proportion
Solve each equation 12. 48. Solve each equation 29. 30. 37. 39. Solve each proportion 30. 47. Basketball blow out. As the final buzzer signaled the end of the basketball game, the Lions were 34 point ahead of the Tigers. If the Lions scored 5 points for every 3 scored by the tigers
5 Consumer Mathematics Problems: WACC, Repurchase of stock, Treasury bond, Stock price, Price of bonds
1) Acetate, Inc., has equity with a market value of $20 million and debt with a market value of $10 million. The cost of the debt is 14 percent per annum. Treasury bills that mature in one year yield 8 percent per annum, and the expected return on the market portfolio over the next year is 18 percent. The beta of Acetate's equit
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
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?
Perform the indicated subtraction x/x^2-2x-3 - 3x/x^2-9
1. Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how many elk are in the park? 2. The formula M = 0.0075x2 - 0.2676x + 14.8 mode
An investor bought 2000 shares of stock. An initial purchase was for $12 per share and a second purchase was for $18 per share. If $27,000 worth of stock was purchased, how many shares were purchased at each price? A saltwater solution is formed by mixing 3 lbs of salt with 15 gal of water. At this rate how many additiona
The amount of the ingredients needed to make 3 and 5 servings of rice are: to make rice and water salt butter _________________________________________ 3 servings 1 cup 3/8 tsp 1 1/2 tsp 5 servings 1 2/3 cup 5/8 tsp 2 1/2 tsp Find the amount of each ingredient
Express f(x) as the sum of partial fractions. f(x)=(3x^2+10x+9)/(2x^3+8x^2+10x+4) This is what I've done so far. f(x)= (3x^2+10x+9)/(2x^3+8x^2+10x+4) = (3x^2+10x+9)/((x+2)(2x+2)(x+1)) = (3x^2+10x+9)= a/(x+2)+b/(2x+2)+c/(x+1) Giving the simultaneous equations: 3=2a+b+2c 10=4a+3b+6c 9=2a+2b+4c
Reduce each answer to the lowest terms (see attachment)
2m 3m ___ = _____ 3 2
For O.T.A 103997,,, Example 1,, find the LCD for the given rational expression, and convert into an equivalent rational expression with the LCD as the denominator, X Y 1 - - - 9y5z, 12x3, 6x2y Example 2,, find the LCD for the given rational expression, and convert this rational expression into an
A. Use a rectangle to explain the process of adding 1/4 and 2/3 - Explain your answer. B. What multiplication problems are represented by each of the following area models? What are the products? (The 1st area model looks like one big rectangle with fifteen little rectangles in it, and 8 of them are shaded) (The 2nd area mo
Simplify attached fractions with polynomial denominators.
All of the primary students at the Sunshine Elementary School were present on the day that one-third of the class went on the science field trip. Two fifths of the remaining primary students went skating at the local rink.If there were 36 primary students remaining at school, how many primary students attend Sunshine Elementary?
11 /13 X 2/121
5/7 + 2/5 + 1/15 Add these
5/x-3 + 2/x-2 - 6/x+1
Five cats can catch 5 mice in 5 minutes. At this rate, how many cats are needed to catch 100 mice in 100 minutes? (Hint: it is not 100.)
Linear equations: Word problem. Bill owns a bike company, and wants to know how many bicycles and tricycles he should manufacture, with no leftovers, and how many boxes of seats he will order. (details given in actual problem)
Bill runs Bill's Big Bikes, a company that manufactures bicycles and specialty adult-sized tricycles. The bicycles and tricycles use the same-sized wheels and identical seats. Right now, Bill has 68 wheels in the shop and needs to order seats. Unfortunately, the company that supplies the seats will only ship seats in boxes of
PV = $434000.00, N = 360, PMT = $3991.81, I/Y = 10.57%. If this 30 yr. loan is paid off in 10 yrs. with a balloon payment of $398,025.92. What would this currently 10 57% loan turn out to be? Or what would this $434,000.00 investment return be, with a return of 120 payments of $3991.81, which would return $479,017.20 (shou
Solve for x: x/(x^2-4)+1/(x+2)=3
A client has an order for a foot soak prepared with 25% povidine iodine and the total volume of preparation is to be 1 liter. How many mls of povidine/iodine should be used?
Write (x+4)/(x^2-3x-10) and 2x/(25-x^2) with the same denominator.
Sheila has 25/72 ounces of gold. Bill has 7/30 ounces of gold. How much must Kelly have so that they have a combined 1 full ounce of gold?
The consumer price index for a new car in 1990 was 110.2, and in 1995 it was 136.5. If the price of the car was $12,880 in 1990, what was the price in 1995? a. $15,362 b. $15,954 c. $16,060 d. $16,267
Context:It would normally follow on from work on sequences and fractions. Question: Ruth was investigating fraction differences. She wrote down this sequence of fractions: 1/1, 1/2, 1/3, 1/4, 1,5 1,6 .. .. Then she worked out the difference between the consecutive fractions: 1/2, 1/6, 1/12, 1/20, 1/30, .. .. She Then worked o
Sam and Mary each owned one-half of the stock in a printing company. Sam sold two-thirds of his stock to Mary. What fractional part of the printing business does Mary now own?