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Question 148150: Hello, it's problem solving time and I am needing a little help. Please
Two motorcycles travel toward each other from cities that are about 320km apart at rates of 95 km/hr and 65 km/hr. They started at the same time. In how many hours will they meet?
Thanks for any help,
Paula
Click here to see answer by Alan3354(30993)

Question 148153: Hi, could someone please help me to understand this problem?
A wood company can convert logs into lumber or plywood. The mill turns out three times as many units of plywood as lumber. A profit of $20 on a untit of lumber and $50 on plywood. How many of each unit must be produced and sold in order to make a profit of $17,680?
Math is my worst subject and I have a very hard time understanding it.
Thanks
Click here to see answer by stanbon(57387)

Question 148238: You commute to work a distance of 80 miles and return on the same route at the end of the day. Your average rate on the return trip is 10 miles per hour faster than your average rate on the outgoing trip. If the round trip takes 3 hours, what is your average rate on the outgoing trip to work?
Let x be the rate for the outgoing trip.
Click here to see answer by ankor@dixie-net.com(15660)

Question 148318: You and a friend have decided to go into the lawn mowing business. Having done a particular yard several times you note the following. Working together you and your friend can mow the yard in 3 hours. Working alone, it takes you 2 hours more than your friend to mow the yard. How long does it take your friend to mow the yard?
Click here to see answer by stanbon(57387)

Question 148319: You can walk 10 miles in the same time that it takes to travel 15 miles by bicycle. If the bike's rate is 3 miles per hour faster than your wlaking rate, fing the average rate for each.
Click here to see answer by ankor@dixie-net.com(15660)

Question 148464: If it takes Jack 4 days to paint a house and it takes Jill 6 days to paint the same house, how much time would it take Jack and Jill to paint the same house together?
Click here to see answer by mangopeeler07(462)

Question 148501: Factor the following polynomial completely: . (Hint x2+9 is a factor)
Click here to see answer by jim_thompson5910(28598)

Question 148500: If x = 3i is a root of the polynomial P(x) which has real coefficients, then what other root is guaranteed?
Click here to see answer by jim_thompson5910(28598)

Question 148498: According to the Remainder and Factor Theorems, what can you conclude about x = 2 if P(x) is divided by (x – 2) and the remainder is 10?
Click here to see answer by jim_thompson5910(28598)

Question 148499: List the possible rational roots for the function whose equation is , where b and c are integers
Click here to see answer by stanbon(57387)

Question 148497: Use long division to divide (x3+ 7x2+ 6x- 18) by (x+3).
Click here to see answer by stanbon(57387)

Question 148442: I hope someone can help me with this problem:
Problem: A result of Kepler’s harmonic law is that the mass of a planet (M) with a satellite is directly proportional to the cube of the mean distance (d) from the satellite to the planet and inversely proportional to the square of the period of revolution (p). Early astronomers estimated the mass of the earth to be 5.976 x 10 to the 24th power kg and observed that the moon orbited the earth with a period of 27.322 days at a mean distance of km.
(1) Write a formula for the mass of a planet according to Kepler.
(2) Find the proportionality constant using the observations and estimates for the earth and moon.
(3) Extend your knowledge across the solar system to find the mass of Mars based on observations that Phobos orbits Mars in 7.65 hours at a mean distance of 9330 km.
(1) What is the approximate ratio of the mass of the earth to the mass of Mars?
Thank you in advance!
lsh3570@aol.com
Click here to see answer by stanbon(57387)

Question 148610: describe the relationship between the graphs of f and g. what is the relationship between functions f and g? f(x)=5^x g(x)=log5x
Click here to see answer by stanbon(57387)

Question 148681:
I just can not remember how to set this problem up.

Click here to see answer by nerdybill(6962)

Question 148680: Three questions that I am certain have quite simple solutions but for some reason they escape me. Thank you in advance for you help!
In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
I know how to find the probability of drawing one of any given color -- 3/11, 4/11, and 4/11 but that's as far as I can get.

A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
My guess was that you would take the average of 10 and 8, the answer being 9. The answer key stated 8.9. I have no idea how to get that answer.

Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Clueless on this one. Does it have something to do with weighted averages?
-Paloma

Click here to see answer by stanbon(57387)

Question 148745: write the expression as a sum difference and/or ocnstant multiple of log.
ln cubed root of 't'
Click here to see answer by stanbon(57387)

Question 148743: evalueate the log. using the change of base formula.
log.1/3(.015)
Click here to see answer by stanbon(57387)

Question 148742: use the change of base formula to write the log. as a multiple of a common log.
ln5
Click here to see answer by stanbon(57387)

Question 148695: A parameter associated with a particular population needs to be estimated. Which of the following describes an unbiased estimator? (Select One)
1) an estimator that is equal to the value of the parameter
2)an estimator that has an expected balue that is equal to the value of the parameter
3) an estimator that has a value t hat approaches the value of th eparamter as the sample size increases
4) an estimator that is not influenced by other estimators

Click here to see answer by oscargut(891)

Question 148611: determine the domain and idenify any vertical asympote and x intercepts.
h(x)=ln(x+1)
Click here to see answer by oscargut(891)

Question 148659: Please helpo solve!
i) Problem: A sheet metal worker is planning to make an open-top box by cutting equal squares (x-in. by x-in.) from the corners of a 10-in. by 14-in. piece of copper. A second box is to be made in the same manner from an 8-in. by 10-in. piece of aluminum, but its height is to be one-half that of the first box.
(1)Find a polynomial function for the volume of each box.
(2)Find the values of x for which the copper box is 72 cubic in. larger than the aluminum box.
(3)Write the difference between the two volumes (d) as a function of x.
(4)Find d for x=1.5.
(5)For what value of x is the difference between the two volumes the largest?

Click here to see answer by ankor@dixie-net.com(15660)

Question 148760: I'm not sure what category this word problem would fall into but I picked this one because it the safest. Please help me this word problem? Comparing wind chills. Use the formula from Exercise 109 to determine who will feel colder: a person in Minneapolis at 10ºF with a 15-mph wind or a person in Chicago at 20ºF with a 25-mph wind.
The formula used in Exercise 109 was W= 91.4 -(10.5 + 6.7√v-0.45v)(457-5t)/110
Click here to see answer by ankor@dixie-net.com(15660)

Question 148805: Pls. help me with this. There are so many given I don't know what to do with all of it or what to use.
A drag racer accelerates uniformly from rest straight track at 12m/s^2 for 5.5s, maintains the speed it has reached for 3.0s, and slows down to a stop at the rate of -14m/s^2. What is the total distance traveled by the racer?
Click here to see answer by vleith(2825)

Question 148804: Pls. help me with this question. I don't know what to do.
A golf cart has an acceleration of 0.5m/s^2. What is its speed after in covered 20m starting from rest?
Dose this question mean that the initial velocity is 0??
Click here to see answer by vleith(2825)

Question 148847: I need to turn in a discussion question about system of inequalities using a real world example from work. I do staffing for a 500 bed hospital. Each unit has a staffing formula. Each unit has 36 beds. The staffing formula calls for .39 staff per patient. However we staff in whole people, not .39 peoples. And the fewest staff members we have at any one time on any unit is 2. For example if the number of patients is 8 or more , or 10 or less, then we would require 3 staff members.I can write it in a table easily but is there an "inequality" equation for it?
Thank you
Sheryl
Click here to see answer by Alan3354(30993)

Question 148916: Janet and Carl decorate cakes in a bakery. Janet can decorate a cake every 0.24 hour and Carl can decorate a cake every 0.33 hour. If they work together, at what rate are they decorating cakes? Round to the nearest tenth of a cake per hour.
Click here to see answer by ankor@dixie-net.com(15660)

Question 148915: cashews sell for $5 per pound and peanuts sell for $2 per pound. How many pounds of each would you use to make 21 pounds of a mixture that sells for $3.00 per pound?
Click here to see answer by nabla(475)

Question 148922: After one round of golf, leo forrest was 3 shots under par. His second round score was 12 shots over par and this third round score was 7 shots under par. How many shots under or over par was Leo's score after the third round.
Click here to see answer by tangitehewagen(7)

Question 148964: A triangle has sides of length x inches, x + 1 inches, and x + 2 inches and its perimeter is given by x + (x + 1) + (x + 2) = 39 inches. Find the measures of the sides by solving the perimeter equation.
Click here to see answer by mangopeeler07(462)

Question 148967: If the perimeter of a basketball court is 240 feet and the length is 40 feet longer than the width, then what are the length and width of the court?
Click here to see answer by mangopeeler07(462)

Question 148971: A sailboat sail in the shape of an isosceles triangle has a base that is 9 feet longer that either of the equal sides. If the perimeter of the sail is 21 feet, then what is the length of the base of the sail?
Click here to see answer by mangopeeler07(462)

Question 149092: Can someone help with General Population problem?: According to the United Nations Fund for Population Activities, the population of the world x years after the year 2000 will be 5.89e ^0.0175x billion people (for 0 ≤ x ≤ 20). Use this formula to predict the world population in the year 2010.

Click here to see answer by josmiceli(9697)

Question 149130: To determine the number of deer in a game preserve,a man catches 715 deer, tags them and lets them loose,later, 312 of them are caught, 156 of them are tagged. How many of them are in the preserve?
Click here to see answer by stanbon(57387)

Question 149160: Find an algebraic expression for the quantity in italics using the following information. The area of a rectangle with a length of b meters and a width of 5 meters
Click here to see answer by mangopeeler07(462)

Question 149233: A coin is tossed and then a die is rolled. Find the probability of getting a 5 on the die given that the coin landed tails up. I tried to work this and came up with 1/6, but am not sure this is right.
Please help.
Ellen
Click here to see answer by nerdybill(6962)

Question 149245: Problem A sheet metal worker is planning to make an open top box by cutting equal squares(x-in by x-in) from the corners of a 10in by 14 in piece of copper. A second box is to be made in the same manner from an 8 in by 10 in piece of aluminum, but its height is to be one half that of the first box.
1.Find the polynomial function for the volume of each box
2.find the values of x for which the copper box is 72 cubic inch larger than the aluminum box
3.write the difference between the two volumes (d) as a function of x
4.find d for x=1.5
5.for what value of x is the difference between the two volumes the largest
6. explain the steps to solve this problem
Click here to see answer by ankor@dixie-net.com(15660)

Question 149272: i) Problem: In 1960, the United States generated 87.1 million tons of municipal solid waste and recovered (recycled) only 4.3% of it. The amount of municipal solid waste generated in the United States can be modeled by the formula w = 3.14n + 87.1, while the amount recovered can be modeled by the formula w = 0.576n + 3.78, where w is in millions of tons and n is the number of years since 1960.
(1) Use the formulas to determine the year in which the United States generated over 100 million tons of municipal solid waste.
(2) Find the year in which 13% of the municipal solid waste generated will be recovered.
(3) Will the recovery rate ever reach 25%?
(4) According to this model, what is the maximum percentage of solid waste that will ever be recovered?

Click here to see answer by stanbon(57387)

Question 149341: A pipe is 48 inches long.Cut into three pieces so that the second piece is 1 inch less than the length of the third. The first piece is 5 times as long as the third.How long is each piece?
Click here to see answer by edjones(7569)

Question 149388: Find the multiplicative inverse of the following number: -0.25

Click here to see answer by jim_thompson5910(28598)

Question 149508: You have five T-shirts, ten shorts, and three pair of underear, and you wear one of each. How many different ensembles can you out together? Bonus: assuming all these clothes are clean, how long could you go before doing laundry.
Click here to see answer by stanbon(57387)

Question 149613: Could you please help me with figuring out how to do this?
The length of a top of a board is 6m greater than width. The area is 72m^2. Find the diminsions for width of board and length of board.
Thank you for any help.
Click here to see answer by jim_thompson5910(28598)

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