Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Algebra: Polynomials, rational expressions and equations

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Question 40161: Two people walking past each other. They continue in opposite directions. The 1st person is walking at 6mph and the other one is speed walking at 10mph. How much must they walk to be at least 2 miles apart?
_______minutes (in decimal form)
thanx.
Click here to see answer by Nate(3495)

Question 40154: The length of a rectangle is 4 cm longer than the width. If the perimeter of the rectangle is 20 cm what is the area? Area=___cm^2
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Dorthy wants to rent a car for a week and pay no more than $130. How far can she drive if the car rental cost $94 a week plus $0.12 a mile?
she can drive _____miles or less
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thanx.
Click here to see answer by Nate(3495)

Question 40169: The sum of the digits of a two digit number is 16. If the digits were reversed, and the new number were added to the original number the sum would be 176. Find the original number.
Thanxs sooo much
Click here to see answer by Nate(3495)

Question 40171: A jar contains 5- gram bolts & 10 gram bolts. The contents of the jar weigh 3.8 kg. If there are 460 bolts, how many 10 gram bolts are in the jar?
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four more than 5 times a number is 24. Find the number.
Thanxs
Click here to see answer by stanbon(26259)

Question 40182: It takes a passenger train 2 hours less than it takes a frieght train to travel from Normand to Enid. The passenger train averages 96km per hr, while the frieght train averages 64km per hour. How far is it from Norman to Enid?
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A student walks and jogs to school every day. The student averages 5km/hr walking & 9km/hr jogging. The distance from the home to school is 6km and the total trip takes 1hr. How far does the student walk?
Take your answers to two decimal places.
______kilometers
Thanx
Click here to see answer by Paul(988)

Question 40198: After sellin a dozen copies of the daily blabber, a newsdealer had fewer than 75 copies left. How many copies did the newsdealer have originally?
He had less than _____ copies originally. --- is it 87???
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Christy spent $500 over her budget on gifts during the holidays. In addition to her regular job, she took a part time job at the Pharamacy that paid $10 per hour. How many hrs will christy have to work at the pharamacy to pay off the holiday debt? ----is it 50???
Thanx

Click here to see answer by shaela216(1)

Question 40228: A watch loses 2 minutes every 15 hours. How much time will it lose in 2 hours?
Thanx
Click here to see answer by JLBROOKS1(1)

Question 40222: 4 shovels of sand are used for every 5 shovels of gravel in making cement. How many shovels of gravel are needed for 64 shovels of sand?
_______shovels of gravel are needed.
Thanx
Click here to see answer by vidhyak(78)

Question 40186: Joe's Dairy Farm has 100 gallons of milk that is 4.6% butterfat. How much skimmilk (no butterfat) should be mixed with it to make milk that is 3.2% fat?
________gallons of milk should be added.
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A chemist has one solution that is 80% acid and another soulution that is 30% acid. How much of the first (80%) solution is needed to make a 400L solution that is 62% acid?
__________liters of the 80% solution is required.
Thanx
Click here to see answer by longjonsilver(2297)

Question 40211: A tank can be filled in 18 hours by Pipe A or 24 hours by Pipe B. How long would it take both pipes to fill the tank?
_____hours
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It takes Sarah 8 hours to fill a Widget. Jerry can do the same job in 12 hours. How long would it take them to assemble a Widget if they worked together?
_______hours.
Thanx
Click here to see answer by venugopalramana(3286)

Question 40214: Company X can install chairs in a theater in 10 hours. Company Y can install them in 15 hours. How long would it take the two companies, working together to install the chairs.
______hours.
Thanx
Click here to see answer by venugopalramana(3286)

Question 40213: One machine in a print shop can produce a cetain # of pages twice as fast as another machine. Operating together these machines can produce this number of pages in 8 minutes. How long would it take the slower machine working alone to produce this number of pages?
______minutes.
Thanx
Click here to see answer by venugopalramana(3286)

Question 40226: If 15 pounds of fertillizer will cover 1500 square feet of lawn, how much fertilizer is needed to cover 2500 square feet?
It would require ______ pounds to cover 2500 square feet.

Thanx
Click here to see answer by fractalier(1804)

Question 40224: Dr Wellbee advised his patients to drink 8 eight-ounce glasses of water everyday for every 50 pounds of weight. Kelby drank 168 glasses of water in one week. How did Kelby probably weigh?

Thanx
Click here to see answer by fractalier(1804)

Question 40218: Dr Wellbee advised his patients to drink 8 eight-ounce glasses of water everyday for every 50 pounds of weight. If Kelby weighs 200 pounds how many glasses of water should he drink in one week?

Thanx
Click here to see answer by fractalier(1804)

Question 40215: Sparky had room for 16 rows in his garden. He planted 3 rows of tomatoes for every 5 rows of onions. How many rows of tomatoes did he plant?
______rows of tomatoes.
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During spring training, Ramons doctor told him that he must drink 1 quart of water for every 3 hours of training he put in. If Ramon drank 3 quarts of water each week during the 6 weeks of training, how many hours did he train?
How many gallons did he drink?
Thanx
Click here to see answer by Nate(3495)

Question 40142: (4/5)x + 18 = 12
(4/5)x = 12 + 18
(4/5)x = 30
x = 30(4/5)
Click here to see answer by fractalier(1804)

Question 40212: Katsumi applied for a credit card with a limit of $1,000. When the application was approved, Katsumi bought a new CD player & speekers for $975. The credit card company offered to ignore the finace charges if Katsumi makes the mimimum monthly payment of $15. How many months will it take him to pay off the music system at this rate?
______months
Thanx
Click here to see answer by fractalier(1804)

Question 39927: Pam bought several cartons of Giggle Fruit Drinks to sell during the track meet, she paid 50 cents per carton. she sold all but 15 of the cartons for a dollar each. At the end of the day her profit was $22.50. How many cartons of Giggle did she buy?
Thank you
Click here to see answer by fractalier(1804)

Question 40337: Solve quadratic equation by factoring.
2y2 – 3y – 2 = 0

Click here to see answer by Earlsdon(4898)

Question 40336: . Solve quadratic equation by taking square root.
Solve: (2 x + 2)2 = 64

Click here to see answer by Earlsdon(4898)

Question 40364: A picture frame is 14cm by 18cm. There are 192cm^2 of picture showing. Find the width of the frame.
The frame is _____cm wide.
Thank you
Click here to see answer by Paul(988)

Question 40329: (4/5)x = 12 + 18
Click here to see answer by abcdefg(37)

Question 40384: Simplify.
a^8 / a^5
Click here to see answer by abcdefg(37)

Question 40396: Benjamin has $6000 invested in two accounts. One earns *5 interest per year, and the other pays 7.5% interest per year. If his total interest for the year is $472.50, how much is invested at 8%?
$_____
Thank u soo much i need someone to show me how to do investment problems.
Click here to see answer by stanbon(26259)

Question 40358This question is from textbook
: ____8______ - ______7_____
y^2-16 y^2 - y- 12
I do not understand how to factor the demoninator to find a LCD.This question is from textbook

Click here to see answer by abcdefg(37)

Question 40333: |5 – x| ≤ 4
Click here to see answer by abcdefg(37)

Question 40399: Harry has $4000 invested in 2 savings accounts. One account earns 6% interest per year, and the other pays 7% per year. If his total interest for the year is $264, how much is invested at 7%?---isnt it $167

Click here to see answer by 1guru(1)

Question 40410: A tank can be filled in 18 hours by Pipe A or 24 hours by Pipe B. How long would it take both pipes to fill the tank?
_____hours
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It takes Sarah 8 hours to fill a Widget. Jerry can do the same job in 12 hours. How long would it take them to assemble a Widget if they worked together?
_______hours.
Thanks
Click here to see answer by venugopalramana(3286)

Question 40409: Company X can install chairs in a theater in 10 hours. Company Y can install them in 15 hours. How long would it take the two companies, working together to install the chairs.
______hours.
Thanks
Click here to see answer by fazlerabbi(9)

Question 40402: $600 is borrowed at an interest rate of 1.4% per month. Find the interest for a 30 month period.
$_____
---is it $18000???
thank u very much
Click here to see answer by fazlerabbi(9)

Question 40375: Evaluate.
4^0
Click here to see answer by fazlerabbi(9)

Question 40421: Factor x⁴ - x³ - 7x² + x + 6 = 0 Possible answers: a. (x-6) b. (x-3) c. (x-2) d. (x+6)

Click here to see answer by AnlytcPhil(958)

Question 40429: Divide.
15z^5 / 5z^2
Thanks!
Click here to see answer by josmiceli(3003)

Question 40427: Divide.
(a^4 –1) / (a^2 –1)

Thanks!
Click here to see answer by josmiceli(3003)

Question 40411: Christy spent $500 over her budget on gifts during the holidays. In addition to her regular job, she took a part time job at the Pharmacy that paid $10 per hour. Her schedule would allow her to work 12 extra hour a week at the pharmacy. How many whole weeks will it take Christy to have enough money to pay off the debt? --- is it 5 weeks or four???
Thanks
Click here to see answer by josmiceli(3003)

Question 40407: The irrigation system needs about 3 times as long to complete a job as another irrigation system. When both systems operate at the same time the job can be completed in 9 hrs. How long does it take the fast system to do the job alone?
____hrs
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Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of $180. He charged the roller blades on his credit card and made the minimum monthly payment of $20. When he received his first statement, he read that the minimum finance charge for each month that there was a balance on the card that would be $15. If Malik waited until he had the $250 cash in his hand to pay for the roller blades, how much money would he save?
Thanks
Click here to see answer by josmiceli(3003)

Question 40428: Divide.

(21y^5 – 28y^4 + 14y^3) / 7y
Thanks!
Click here to see answer by AnlytcPhil(958)

Question 40406: Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for the next 5 days and then deposited her entire paycheck from Barney's Bascules, bringing her balance to $750. Then she remembered she had promised to donate 25% of her new paycheck to charity. How much should she withdraw from her savings?
Thanks

Click here to see answer by wuwei96815(245)

Question 40398: Ryan was 8 when his parents invested $4000 in a certificateof deposite that pays 6% for investments of 3 years. If Ryan leaves the account alone until it reaches $10,000, how old will he be? ---won't he be 20???
Click here to see answer by mbarugel(146)

Question 40405: Sliced turkey cost $3.20 per pound. Roast beef cost twice as much, & ground beef cost half as much as the turkey. Find the price of 7.5 pounds of ground beef.
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A coffee shop mixes Brazilian coffee worth $5 per kilogram with Turkish coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of the Brazilian coffee should be used to make 300kg of the mixture? ____________kilograms
Thanks
Click here to see answer by josmiceli(3003)

Question 40400: How long will it take a $500 investment to earn $100 in an interest rate of 10% per year?
thank u very much
Click here to see answer by josmiceli(3003)

Question 40437: simplify:
x^2(2x-5)^2+x(5-2x)^3
Possible answers:
a. x(2x-5)^2 (5-x)
b. x(2x-5)^2 (x-5)
c. -x(2x-5)^2 (5-x)
d. x(2x-5) (5-x)
Click here to see answer by josmiceli(3003)

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