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Application problems including rational equations.
Set up a rational equation and then solve the following problems.
Question 1. A positive integer is twice another. The sum of the reciprocals of the two positive integers is 3/14. Find the two integers.
Question 2. A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/18. Find the two integers.
Question 3. John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmother's house, but then he tired and walked the remaining 2 miles. If the total trip took 0.9 hours, then what was his average jogging speed?
Question 4. A bus averages 2 miles per hour faster than a motorcycle. If the bus travels 165 miles in the same time it takes the motorcycle to travel 155 miles, then what is the speed of each?
Question 5. Jane can paint the office by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long would it take her associate to do it working alone?
John has 15 more chocolate bars than Rick. Cathy has 9 times as many chocolate bars as John. If Rick has r chocolate bars, which equation below represents how many chocolate bars Cathy has, c?
The height of the arrow is given by the function h(t) = - 16t2 + 32t + 19 where t is the time in seconds. What is the maximum height of the arrow?
What was the total rainfall for the first 6 months of City #1? What month in City #2 had the lowest amount of rainfall? What two consecutive months in City #2 was the rainfall the same amount?
Which model do you like best? Be sure to investigate possible interactions between sex and other predictors.
determining the probability of event a given that event b is already occurreda seven card rum is dealt. let a be the
The table of values was obtained by evaluating a function. Determine which of the following statements may be true and which may be false. Explain factors that helped to arrive at your decision.
Cody received a loan of $45,750, 4 years ago. The interest rate charged on the loan was 4.92% compounded quarterly for the first 6 months, 5.10% compounded semi-annually for the next 2 years, and 5.88% compounded monthly thereafter. a. Calculate t..
The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?
The mean weight of loads of rock is 43.0 tons with a standard deviation of 12.0 tons. If 9 loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 38.60 tons. Assume that the variable is ..
Find the only stationary point and classify it by using the second-derivative test.
Probability and Statistics : Poisson Distributions and Standard Deviations, The number of violent crimes committed in a large city follows a Poisson distribution with an average rate of 10 per month.
Suppose the supply and price for a prescription are related by P=.0015q +1 where p is the price in dollars of a 30 day prescribtion if the demand is related to price by P= 0025q + 64.36. What is the equilibrium quantity and price.
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