Questions on Algebra: Expressions involving variables, substitution answered by real tutors!

Tutors Answer Your Questions about Expressions-with-variables (FREE)

Question 33183: Can you tell me how to set this problem up?
1. Suppose the club earned a total of $181 for washing 49 vehicles. If they charge $3 for a car and $5 for a truck, how many of each vehicle were sold?
Click here to see answer by priya(51)

Question 33159: I have some algebra that I need help with.
The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
a)Write h as a function of r.
b)What is the measurement of the height if the radius of the cylinder is 2 centimeters?

c)Graph this function.
Thank you very mcuh for your time.
Please help -
Click here to see answer by priya(51)

Question 33236: Wanda is 5 years older than Marian. The sum of their ages is 19. Find the age of each.
Click here to see answer by sarah_adam(201)

Question 33508: May you please help me simplify: (a^4+b^4)/(a^2+b^2) and (3+2i)/(3-2i)? I spent a while looking through previously answered questions but couldn't find a similar enough problem. Thank you for your help.
Click here to see answer by mukhopadhyay(490)

Question 33509: Solve the equation.
If the total bill at a restaurant, including a 15% tip, is $65.32, what was the cost of the meal alone?
Thanks
Click here to see answer by mszlmb(115)

Question 33498: evaluating rational expressions, add. simplify if possible.
x(squared) + 7x + x (squared) - 4x
_____________ _______________
x(squared) - 5x x (squared) - 5x

Click here to see answer by Cintchr(481)

Question 33531: Simplify the expression. Assume that all variables represent nonzero integers. [x(-3a - 2)]^-4

Click here to see answer by AnlytcPhil(1276)

Question 33539: Simplify.
(36y^2-64x^2 / xy) / (6/x - 8/y). Thanks in advance.
Click here to see answer by priya(51)

Question 33539: Simplify.
(36y^2-64x^2 / xy) / (6/x - 8/y). Thanks in advance.
Click here to see answer by Cintchr(481)

Question 33166: Questions: For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, A = P (1+r/n) n^2 , let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4.
a)Show coordinates in this space and show graph. Please?
Click here to see answer by venugopalramana(3286)

Question 33734: can you please tell me how to isolate "irr" in the problem below.

NPV = -1,000,000 + 150,000/irr
i've gotten to this point below.
1,000,000 = 150,000/irr
i'd appreciate as many steps as you can show regarding the isolation of "irr"
Regards,
Jim
Washington, DC
Click here to see answer by stanbon(57299)

Question 33792: A electronics store wants to order at least 3 times as many DVD players as VHS players. Write an inequality expressing this relationship.
Click here to see answer by Lchanddragon(3)

Question 33815: If 5 is added to the sum of two consecutive integers, the result is three less than twice the larger integer. Find the integers.

I keep getting 8
Click here to see answer by venugopalramana(3286)

Question 33014: (-10p)(-8q)(-r)
Click here to see answer by kietra(57)

Question 33018: -2(5m+3)
Click here to see answer by kietra(57)

Question 33020: (-10j-4k)7
Click here to see answer by kietra(57)

Question 33024: (-9u-v)(-11)
Click here to see answer by kietra(57)

Question 33022: -8(9g-4h)
Click here to see answer by kietra(57)

Question 33027: -12j^2+7j-8j+j^2
Click here to see answer by kietra(57)

Question 33023: -3(-x+2y)
Click here to see answer by kietra(57)

Question 33864: what is the soultion to this simultaneous equation using substion or addtion method?
x-y=0
7x-3y=24
Click here to see answer by sarah_adam(201)

Question 33863: what is the soultion to this simultaneous equation using substion or addtion method
x+2y=15
x-2y=-9
Click here to see answer by sarah_adam(201)

Question 33908: CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
How much money would Mr. Brown have to put on the 32nd square?
How much would the traveling salesman receive if the checkerboard only had 32 squares?
Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How much money would the farmer need to give the salesman?
Thank you - !!!!!

Click here to see answer by stanbon(57299)

Question 33957: what is the soultion to this simultaneous equation using substion or addtion method?
2x+3y=-5
3x-y=20
Click here to see answer by stanbon(57299)

Question 33954: what is the soultion to this simultaneous equation using substion or addtion mehtod
3x-8y=10
x-4y=3
Click here to see answer by elima(1433)

Question 34042: Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,…to find the following:
What is r, the ratio between 2 consecutive terms?
Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals.
Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Please round your answer to 4 decimals.
What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?
What do you think? I need help, :')

Click here to see answer by xcentaur(357)

Question 34163: I can't figure out how to set this problem up. Your help would be greatly appreciated.
An airplane travels 400 miles against the wind in 4 hours, and makes the return trip with the same wind in 2 hours. Find the speed of the wind.
Thank you.
Click here to see answer by Paul(988)

Question 34165: I have a problem that I can't figure out.
Joe has a collection of nickels and dimes that is worth $7.40. If the number of dimes were doubled and the number of nickels were increased by 20, the value of the coins would be $13.20. How many dimes does he have?
I have been trying to work this but can't seem to get it set up right.
Thank you.
Click here to see answer by Paul(988)

Question 34154: I need help solving this problem: -10-7x+6x=-22
Click here to see answer by longjonsilver(2297)

Question 34272: I need help on one last problem. Just can't get it set up right.
A store sells televisions for $360 and VCR's for $270. At the beginning of the week its entire stock is worth $54,000. During the week it sells three quarters of the TV's and one third of the VCR's for a total of $30,600. How many tv's and vcr's did it have in its stock at the beginning of the week?
Thanks.
Click here to see answer by mukhopadhyay(490)

Question 34409: (7x^5-2x^3+x-9)+5x^4+3X^3-6x-4)
Click here to see answer by benni1013(197)

Question 34380: I tried this on one of the solvers first, and it said it could not be simplified, I am doubting this, could you please explain?
(2)/(x^2+4x+3)+ (1)/(x+3)
Click here to see answer by benni1013(197)

Question 34507: Convert this celsius temperature to 15 degrees farenheit using
F=9/5C + 32
Click here to see answer by checkley71(8403)

Question 34275: My problem:
Alan drives from his house to is mother's house in 9 hours. He drives 69 miles per hour. What is the distance from Alan's house to his mother's house?
Click here to see answer by checkley71(8403)

Question 34536: Here is the equation I need help with:8x-12=15x-4x
I'm homeschooled.
Click here to see answer by checkley71(8403)

Question 34506: What is the Fahrenheit temperture when converting this Celsisu formula
F=9/5C + 32
Click here to see answer by Prithwis(166)

Question 34638: solve by addtion method 2x-4y=7
4x+2y=9
Click here to see answer by askmemath(368)

Question 34642: solve by addtion method 5x-4y=-5
x-2y=-7
Click here to see answer by checkley71(8403)

Question 34863: how do i solve this problem? x-7=y and 2y+25=3x
Click here to see answer by askmemath(368)

Question 35005: how do you do this problem?
Click here to see answer by Prithwis(166)

Question 35196: -3b=96 +b
what does b equal?
Click here to see answer by checkley71(8403)

Question 35150: This was the last question in a city-wide math competition. I was to solve for all possible values for x and y.
x/y-(x+1)/(y+1)=(x+2)/(y+2)
Can you please help?
Thanks

Click here to see answer by longjonsilver(2297)

Question 35246: simplify the following algebraic expression
(2x^5)^3 (-3x^4)^3
Click here to see answer by Earlsdon(6287)

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, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800