Questions on Algebra: Numeric Fractions answered by real tutors!

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Question 99088: I ned help. I have been having problem solving these questions. Kindly help me on these 2 questions.
1: Find all of the errors in the following solution to an equation.
7/x = 8/x+3 +1
7(x+3) = 8x + 1
7x + 3 = 8x + 1
-x = -3
x = 3
2: What are extraneous solutions of an equation? Why do they sometimes occur in the process of solving rational or radical equations?

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Question 99199: Find the denominator after simplifying: {4+1/(x-2)}/{3-1/(x-2)}
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Question 99235: Please kindly help me with these 2 questions.
1. Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If Pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?
2. The student-teacher ratio for Washington High was reported to be 27.5 to 1. If there are 42 teachers, then how many studentd are here?
Thank you

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Question 99280: Kindly help me with this question.
The student-teacher ratio for Washington high was reported to be 27.5 to 1.
If there are 42 teachers, then how many students are there?
Thank you for your help.

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Question 99357: Multiply and Simplify x2 (squared)-x-20/x2 (squared)+x-6 multiplied by x2 (squared)+3x-10/x2(squared)+9x+20.
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Question 99355: Please help me. I am having problem solving these question.
1. 3 + 1/x-2 = 2x-3/x-2
2. 4/a^2-1 + 1/2a+2
Thank you

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Question 99393: How to simplify: - 1/2 + 3/8 + (-6) + 3/4
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Question 99398: Solve: 4/3x -5/6x = 5/6
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Question 99520: Please help me. I am having problem with this question.
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
Thank you

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Question 99519: I am having problem solving this question. Kindly help me.
x^2-4/x / 4x-8/x
Thank you

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Question 99629: Dear Tutor,
I'm trying to simplify expressions using prime factors. I don't understand what that means, much less how to solve any problems. Here's an example of one of the questions:
7/30 - 29/75
(those are fractions)
If you can, please help. My math teacher doesn't explain things thoroughly. :/
Thank you so much! This is really appreciated!

Click here to see answer by checkley71(8403) About Me 
Question 99629: Dear Tutor,
I'm trying to simplify expressions using prime factors. I don't understand what that means, much less how to solve any problems. Here's an example of one of the questions:
7/30 - 29/75
(those are fractions)
If you can, please help. My math teacher doesn't explain things thoroughly. :/
Thank you so much! This is really appreciated!

Click here to see answer by stanbon(75887) About Me 

Question 99692: Please help me. This is new to me. I don't have a proper equation editor.
-3 - square root of 18 divided by -6
Thank you

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Question 99690: Kindly help me. I don't have proper equation editor.
(x^2y^-3z)1/2 Divided by
x^1/2yz^-1/2
Thank you so much for the help.

Click here to see answer by stanbon(75887) About Me 

Question 100250: Could you kindly help me. I am having problem answering this question.

True or False. Explain your answer.
To complete the square for 2x2 + 6x = 4, add 9 to each side.

Click here to see answer by tutorcecilia(2152) About Me 

Question 100251: Could you kindly help me.

True or False. Explain your answer.
For the equation, 3x2 = 4x – 7, we have a = 3, b = 4, c = -7

Click here to see answer by bucky(2189) About Me 

Question 100252: Could you kindly help me.

Write a quadratic equation that has the given pair of solutions.
1) -4 and 5
2) 2 - √3 and 2 + √3


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Question 100410: 5/6c=30
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Question 100410: 5/6c=30
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Question 100368: As I was doing my homework, I came across this problem:
Mrs. Roscoe can bake a batch of oatmeal-raisin cookies in 3/4 hour. What reasonable amount of cookies can she bake in 5 1/4 to 6 3/4 hours?
I know dozen means twelve, and score means 20, but I'm not sure what number the word "batch" represents. If one of you tutors could please tell me what it means, I'll be able to solve the problem on my own. Thank you so much for your time! :)

Click here to see answer by scott8148(6628) About Me 

Question 100540: Please help me with this question.
Find two positive real numbers that differ by 1 and have a product of 1.
Thank you

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Question 100544: Please help me to answer this question.
True or False. Explain your answer.
The inequality x/x-3 > 2 is equivalent to x > 2x – 6.
Thank you for your help.

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Question 100536: How can I answer this question. Please help me.
How can you find the vertex of a parabola? Give an example.
Thank you

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Question 100690: ok i am having a lil trouble with this cause i dont get this but here is that question
use the distributive property to rewrite each expression without pareenthese.
16. 2(1+w)????
i do not get that

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Question 100690: ok i am having a lil trouble with this cause i dont get this but here is that question
use the distributive property to rewrite each expression without pareenthese.
16. 2(1+w)????
i do not get that

Click here to see answer by TP(29) About Me 

Question 100986: darren used pieces of moulding 7 1/2 feet long, 2 3/4 feet long and 7 1/2 feet long to frame a doorway. If he started with 20 feet of moulding, how much was left over?
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Question 100987: find the decimal equicalent for the following fraction:
33/40

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Question 101086: 3+y/4=-y/8
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Question 101209: I have 41 1/2 ft. of string. I want to cut it into pieces of 3 3/4 ft of string. How many pieces did I cut. How many remain if any?
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Question 101223: Joan was charged $18 interest for 1 month on a $1200 credit card balance.What is the monthly interest rate?
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Question 101220: The Framework of a wall is 3 1/2 in. thick. We apply 5/8 in. wallboard and 1/4 in. paneling to the inside. Siding that is 3/4 in. thick is applied to the outside. What is the finished thickness of the wall?
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Question 100988: find the decimal equicalent for the following fraction:
33/40

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Question 101226: each year 540 million metric tons of carbon dioxide is added to atmosphere by UN. Burning of gas and other transportation fuels is responsible for 35% of carbon dioxise emissions in the UN. How much carbon dioxide is emitted each year by the burning of transportation fuels in the UN?
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Question 101227: The Tyler family had heating bills of $105,$110,$90, and $67 in the first 4 months of 2003. the bills for the same months in 2004 wre $110,$95,$75, and $76. in which year was the mean monthly bill higher and by how much?
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Question 101301: what is the percent of $150 out $1,000 dollars
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Question 101309: 0.5 over a = 1.25 over 5 what is a?
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Question 101406: Two of the most expensive movies ever made were Titanic and Water world. The cost to make Titanic exceeded the cost to make Water world by $25 million. The combined cost to make the two movies was $375 million. Find the cost of making each of these movies. Thanks im having trouble figuring this out.
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Question 101406: Two of the most expensive movies ever made were Titanic and Water world. The cost to make Titanic exceeded the cost to make Water world by $25 million. The combined cost to make the two movies was $375 million. Find the cost of making each of these movies. Thanks im having trouble figuring this out.
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Question 101405: A number decreased by 23 is equal to 214. Find the number. How would i figure this problem out? Thanks
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Question 101407: A car can be rented from Continental Rental for $80 per week plus 25 cents for each mile driven. How many miles can you travel if you can spend at most $400 for the week? Can you help me figure this out? thanks
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Question 101407: A car can be rented from Continental Rental for $80 per week plus 25 cents for each mile driven. How many miles can you travel if you can spend at most $400 for the week? Can you help me figure this out? thanks
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Question 101299: 0.5 over a = 1.25 over 5 what is a?
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Question 101516: 10) Two angles are complementary if their sum is 90e. If the measure of the first angle is xe, and the measure of the
second angle is (3x - 2)e, find the measure of each angle.

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Question 101514: 8) The sum of four times a number and three is the same as the difference of twice the number and eleven. Find the
number.

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Question 101784: Please help me. I am having problem understanding this question.

: If your test score are 80 and 100, then the arithmetic mean of your scores is 90. The geometric mean of the scores is a number x such that
80/x = x/100
Are you better off with the arithmetic mean or the geometric mean?
Thank you for your help.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900