Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 139279: I need some help with this word problem. Thanks.
One-half of a road construction project was completed by six workers in 12 days. Working at the same rate, what is the smallest number of workers needed to finish the rest of the job in exactly four days?
Click here to see answer by solver91311(17077)

Question 139245: Factor trinomials.
2x^2+10x+8
2(x^2+5x+4)
2(x^2+1)(5x+4)
Is this right?
Click here to see answer by solver91311(17077)

Question 139288: Can someone help us with this problem? We are working on it in a group and all go a different answer, so we would like to know who got the right answer if any of us, thanks.
The problem is:
Of the 23 homes in a subdivision, 7 need roofing and 5 need landscaping. If two homes need both roofing and landscaping, how many need neither?
The different answers we got were 11 homes, 9 homes 7 homes and 5 homes have no idea where that one came from. Thanks for the help.
Click here to see answer by stanbon(57969)

Question 139291: Sally works at a grocery store. In one week she earned $390 for working 47 hours of which 7 hours were overtime. The next week she earn $416 for working 50 hours of which 8 hours were obertime. What is Sally's hourly overtime rate in dollars per hour?
I have worked on this for 3 days now and can't get answer that works it would be great if someone could help.
Click here to see answer by stanbon(57969)

Question 139261: Factor trinomials.
2x^2+7x-15
(2x )(7x )
How?
Click here to see answer by stanbon(57969)

Question 139283: Factor trinomials.
2x^2+9x-18
(2x )(x )
Need help!
Click here to see answer by scott8148(6628)

Question 139281: Factor trinomials.
2x^2-8x-24
2(x^2-4x-12)
2(x )(-4x )
Need help!
Click here to see answer by SnowXclouD(11)

Question 139239: When the baton twirler releases the baton into the air with an initial velocity of 30ft per sec and 5ft from the ground. She will catch the baton when it falls back to a height of 6ft, How many seconds is the baton in the air?

h=initial height
t=time in motion
s=initial height
v=initial velocity
Please and Thanks a bunch!
Click here to see answer by ankor@dixie-net.com(15746)

Question 139388: Hello,
I'm desperately trying to solve this word problem: A ball dropped from a certain height rises after bouncing 30% of its original height. After bouncing if the ball rises to 2 1/2 ft.,what is the height from which it was dropped?
Thank you in advance!
Teresa

Click here to see answer by scott8148(6628)

Question 139408: Please help me solve this word problem:
Two pipes together can fill a large tank in 10 hr. One of the pipes, used alone, takes 15 hr longer than the other to fill the tank. How long would each pipe take to fill the tank alone?
Click here to see answer by solver91311(17077)

Question 139458: The age of three grand oaks totals exactly one thousand years. From the following information, determine the age of each tree. When the youngest tree has reached the age of the middle tree, the middle tree will be the age of the oldest tree and four times the current age of the youngest tree. Please help me solve this...I don't know what to do!
Click here to see answer by Edwin McCravy(8999)

Question 139589: I have been struggling with this problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it! Please and Thank you!

Factoring Patterns for ax^2+bx+c
Factor. Check by multiplying the factors. If the polynomial is not factorable, write prime.
8+45r-18r^2
Click here to see answer by jim_thompson5910(28717)

Question 139591: I have been struggling with this problem and I was wondering if anyone could help me? I would deeply appreciate it! Please and Thank you!

Factoring Patterns for ax^2+bx+c
Factor. Check by multiplying the factors. If the polynomial is not factorable, write prime.
2(x-y)^2-9(x-y)z-5z^2
Click here to see answer by jim_thompson5910(28717)

Question 139696: In how many different ways can two black cards be drawn from a standard deck of cards? Assume that the order of the cards matters.
Click here to see answer by stanbon(57969)

Question 139695: In an electronics experiment 1 white cord is connected to 3 black cords. Each black cord is connected to 5 gray cords. Each gray cord is connected to 7 blue cords. How many blue cords are there?
Click here to see answer by josmiceli(9817)

Question 139570: A hot-water heater is in the shape of a circular cylinder. It has a height of 3 feet 9 inches and a diameter of 16 inches. How many gallons of water will the tank hold? (1 cubic foot-7.5 gallons. Round to the nearest tenth, if necessary.
Click here to see answer by ankor@dixie-net.com(15746)

Question 139839: I have been working on this math problem for awhile now and I got to the second step, but I don't know where to go from there. I was wondering if someone could help me?? I would deeply appreciate it!! Please and Thank you!!
Factoring by Grouping
Factor each expression as a difference of squares
Original Problem
x^2-2xy+y^2-4
Work that I did
x^2-2xy+y^2-4
(x)^2-(2+y)^2

Click here to see answer by stanbon(57969)

Question 139795: i have been trying for 3 days to figure these out and can not come up with a solution. If anyone could please take the time to help me and show an example of how to do these I would be forever grateful. These are on a practice test, the real test is Monday.
A ball is thrown vertically upward with an initial velocity of 160 feet per second. The distance in feet of the ball from the ground after 1 second is s=160t - 160t^2. For what is the interval of time is the ball less than 336 feet above the ground (after it is tossed until it returns to the ground)
2. Use the compound interest formulas A=P(1 +r/n)^nt and A =P^ert to solve.
Suppose you have 9000 dollars to invest. Which investment yields the greater return over 5 years: 6.25% compounded continuously or 6.3% compounded semi annually?
3. Graph the polynomial function f(x) = -6x^4 + 9x^3
Click here to see answer by ankor@dixie-net.com(15746)

Question 139852: Jason has 6 different pairs of pants, 10 different shirts, 2 different belts, and 4 different neckties. Assume wearing a tie and belt are optional. How many different outfits can Jason make from his wardrobe?
Click here to see answer by Nate(3500)

Question 139854: Make the equation below a true statement by repositioning one and only one digit in the equation. You cannot add or delete any mathmatical symbol or move
the - or = signs.
26-63=1
Click here to see answer by checkley77(12569)

Question 139850: Find the values of the positive numbers a and b, given that a is 8 times the size of b and the reciprocal of ab is 1 less than 3.
Click here to see answer by ankor@dixie-net.com(15746)

Question 139911: I need help with this....
Page210
Number 2
Copper wire - A copper conducting wire measures 84centimeters in length. It is cut into two pieces. The shorter piece is 5 centimeters shorter than the long piece. Find the length of each piece.
Click here to see answer by rapaljer(4667)

Question 139938: Im thinking of a number
when i subtract 25 from the number the square it the answer
i get is the same as
when i square the number the subtract 25 from the answer
what is my number?

Click here to see answer by rapaljer(4667)

Question 139940: A committee of 4 students is to be formed from members of the student council. The student council contains 13 girls and 12 boys. How many committees will contain only boys.
Click here to see answer by edjones(7569)

Question 140086: A wildlife biologist caught, banded, and released 400 quail at a local quail ranch. One month later, he captured 100 quail in the same reserve and discovered that 16 of these were banded. Estimate the number of quail on the quail ranch and match your result to the correct answer below.
A)2000
B)1600
C)800
D)2500

Click here to see answer by ttlpkg32(2)

Question 140083: Hi, I need your help in solving this problem. I find it hard and I can't come up with a better solution. Thank you.

It takes John 5 hours to paint a house. It takes Bob 3 hours to paint the same house. How long will it take to paint the house if both of them work together?
Click here to see answer by scott8148(6628)

Question 140074: Can you please help me with this word problem? At the football game 5/12 of the fans were rooting for the Cowboys. The rest were rooting for the Packers. What was the ratio of Cowboys fans to Packers fans?
Click here to see answer by checkley77(12569)

Question 140157: I have been working on this math problem for awhile now and I was wondering if someone could help me? I would deeply appreciate it!! Please and Thank you!!
Factoring by Grouping
Factor
p^2-q^2-2p+2q
Click here to see answer by checkley77(12569)

Question 140164: I have been struggling on this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank you!!

Factor by Grouping
Factor
h^2-4k^2+4h-8k
Click here to see answer by checkley77(12569)

Question 140162: I have working on this math problem and I got an answer, but I don't know if I am right or not. I was wondering if someone could check my work and answer to see if I am wrong or not?? I would deeply appreciate it!! Please and Thank you!!
Factor by Grouping
Factor
a^4+b^4-c^4+2a^2b^2
(a^4-2a^2b^2+b^4)-c^4
(a^2-b^2)^2-(c^2)^2
(a^2-b^2-c^2)(a^2-b^2+c^2) as my answer
Click here to see answer by oscargut(900)

Question 140197: The Tastee Donut Shop charges eighty-nine cents for its Mix N Match selection, which allows you to select three doughnuts from among the following varieties:plain,maple,frosted,chocolate,glazed, and jelly.
How many different Mix N Match selections are possible?
Click here to see answer by amethyst is 17(2)

Question 140239: Can you please help me with this? Steve's Tree Farm sells Douglas firs and noble firs. One November they sold 179 more Douglas firs than noble firs. The total number of trees sold was 499. What equation could be used to solve for n, the number of noble fir trees sold? Here is my answer, but I don't think it is correct.
2n+179=499
Click here to see answer by checkley77(12569)

Question 140244: A swimming pool measures 30 Ft.long,15 ft. wide and is filled to an average depth of 4 1/2 ft. How many gallons of water does the pool contain if a cubic foot holds 7 1/2 gallons?
Click here to see answer by checkley77(12569)

Question 140245: A steel reinforcing rod is 15' long and 9/16" thick at its diameter. If a cubic foot of steel weighs 485 pounds, how much does the rod weigh?
Click here to see answer by checkley77(12569)

Question 140309: Twenty men did 1/4 of a job in eight days. Then it became necessay to complete the job in the next five days. How many additional men were added to the crew of twenty to accomplish this task?
Click here to see answer by ankor@dixie-net.com(15746)

Question 139851: Continue the pattern by listing the next five terms in the sequence below:
17,8,25,7,32,5,37,10,47,11,58,13,71,8,79,16,95,14,109
I also need to know the pattern of how to get the next number.
Click here to see answer by checkley77(12569)

Question 140392: I have been struggling with this math problem and I was wondering if someone could help me? I would deeply appreciate it!! Please and Thank you!!
Using Several Methods of Factoring
Factor completely
x^2-2x-4y^2-4y
Click here to see answer by stanbon(57969)

Question 140389: I have been working on this math problem and I got to working on it. Well, then I got stumped and I was wondering if someone could help me to see if my work is right and to help me out with the rest of the problem? I would deeply appreciate it!! Please and Thank you!!
Using Several Methods of Factoring
Factor completely
Original Problem
81a+18a^3+a^5
My work
81a+18a^3+a^5
a(81+18a^2+a^4)
Click here to see answer by stanbon(57969)

Question 140388: I have been struggling on this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank you!!
Using Several Methods of Factoring
Factor completely
n(n^2-1)+n(n-1)
Click here to see answer by stanbon(57969)

Question 140367: How many three-digit numbers are palindromes?
Click here to see answer by josmiceli(9817)

Question 140440: a stone is dropped from a cliff. In the 4 sec, the sound of the stone striking the ground reaches the top of the cliff. If we assume that the speed of sound is 1100 ft/sec, how high is the cliff?
Click here to see answer by scott8148(6628)

Question 140409: if a digital clock is the only light in an otherwise totally dark room when will the room be the lightest and will the room be the darkest?
Click here to see answer by checkley77(12569)

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, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155