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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 366457: a boat traveled 420 miles downstream and 420 miles back upstream. the trip downstream took 20 hours. the trip back took 140 hours. what is the speed of the boat in still water. what is the speed of the current
Click here to see answer by mananth(12270)

Question 366452: A movie theater is 3 blocks due north of a supermarket and a beauty parlor is 4 blocks due east of the movie theater. How many blocks long is the street that runs directly from the supermarket to the beauty parlor?
Click here to see answer by mananth(12270)

Question 366291: A 6x6x6 cube is constructed of 1x1x1 cubes. The faces of the large cube are then painted. How many of the smaller cubes have no painted side?
Click here to see answer by robertb(4012)

Question 366474: x and y are integers. show that x^2-y^2 is odd or divisible by 4
Click here to see answer by Jk22(389)

Question 366420: This weekend I will invite three friends over to help me hang 12 pictures. Together it will take us 6 hours to hang them all. We will start at 9 a.m. I am done 2 hours before Lisa and Michele is finished 2 hours later than Lisa. How long does it take Lisa to hang her pictures? How long would it have taken if I hung them by myself?
How would I write this in a rational expression
Click here to see answer by ankor@dixie-net.com(15624)

Question 366524: what two numbers when added together equal -15 but multiplied together equal 225?
Click here to see answer by Fombitz(13828)

Question 366547: the perimeter of a rectangle is 41 inches and its area is 91 square inches. find the length of its shortest side.
Click here to see answer by amoresroy(333)

Question 366550: A 3 min cab ride costs $3.00. A 6 min cab ride costs $4.80. Find a linear equation that models cost c as a function of distance d.
A. c=0.60d+1.20
B. c=1.00d+1.80
C. c=0.80d+1.20
D. d=0.60c+1.80
Click here to see answer by ewatrrr(10682)

Question 366559: 1/2 +(2/3 divided by 3/4) - ( 4/5 x 5/6) =?
Click here to see answer by amoresroy(333)

Question 366608: In 2005, 42.8 out of every 50 Navy personnel were men. If there are 353,496 total Navy personnel on active duty, estimate the number of men. Round to the nearest whole.
Click here to see answer by Fombitz(13828)

Question 366609: Find the slope if it exists, of the line containing the points [-1 1/2] and [-10 1/2]
Click here to see answer by josmiceli(9650)

Question 366448: Points A(2,2), B(x,y) and C(8,6) are collinear and point B is between points A and C. The length of the segment AB is equal to 1/5 the length of segment AC. Find the coordinates of point B.
Click here to see answer by Fombitz(13828)

Question 366704: I need help with these 3 problems. Thank you!
A shop sells compact disks for $15 a piece. If each disk costs $6 to the shop owner how much profit percent does the shop owner earn?
A computer company gives a discount of 10% on a new piece of software. If it makes a profit of 4%, what percent does the marked price exceed the cost price?
What single discount is equivalent to two successive discounts of 15% and 7%?

Click here to see answer by edjones(7569)

Question 366636: For the quadratic function f(x)= -x^2+2x+3, give the coordinates(ordered pair)of the x-intercept(s), y-intercept(s), and the vertex of the parabola. If the parabola has a maximum or minimum, give its coordinates.
Click here to see answer by solver91311(16868)

Question 366631: Graph the quadratic function f(x)= -2x^2+8x+8. State the ordered pairs representing the x-intercept(s), y-intercept(if any), and the vertex of the parabola.
Click here to see answer by mananth(12270)

Question 366629: Graph the quadratic funtion f(x)=-5(x-2)^2+9. State the ordered pairs representing the x-intercept(s), y-intercept(if any), and the vertex of the parabola.
Click here to see answer by mananth(12270)

Question 366782: If 4 painters can paint a house in 9 days,how many days would it take 6 painters to paint the house?
Click here to see answer by amoresroy(333)

Question 366737: 1. A rocket is fired upward at an initial velocity of 1008 ft/s from a tower that is 120 ft high. When will the rocket reach a height of 3896 ft above ground level? H=VT-16t^2
2. The length of a rectangular table is 1 ft more than twice the length of a side of a square rug and the width of the table is 3 ft less than the length of a side of the rug. If the area of the table is 81 ft^2 greater than the area of the rug, what is the area of the rug?
Please help!
Click here to see answer by amoresroy(333)

Question 366641: Rewrite with positive exponents. Assume that even roots are of nonnegative quantities and that all denominators are nonzero.(2x^(-1/2))^-3
Click here to see answer by Alan3354(30962)

Question 366868: Find the equation of the line that contains the given point and has the given slope. (Let y be the dependent variable and let x be the independent variable.)
P(-5, 6), m = 7/6

Click here to see answer by Fombitz(13828)

Question 366969: I just did the formula nd=1.08t and came to 26. Now, I need to find the number of patient appts.(n)a doctor should make if he has 6 hours available to see pts. and each appt is 15 min. long?

Click here to see answer by Alan3354(30962)

Question 367039: The probability that each shot fired by Bob hits the target is 1/3. If Bob fires 10 shots, find the probability that exactly 2 shots hit the target.
Thank you :)
Click here to see answer by robertb(4012)

Question 367082: A list of numbers 2, 4, 8, . . . is formed by doubling each of the preceding numbers. What is the remainder when the 15th number is divided by 6?
(A) 0 (B) 2 (C) 4 (D) 6 (E) 8
Click here to see answer by Jk22(389)

Question 367343: A homeowner has 120 feet of fence to enclose a rectangular garden. What dimensions for the garden gives the maximum area?

Click here to see answer by Alan3354(30962)

Question 367346: If 5 goldfich cost $6.45, what is the price of 8 goldfish
Click here to see answer by rfer(12644)

Question 366394: The figure shows a lever system, similar to a seesaw that you might find in a childrenÂ’s playground. For the system to balance, the product of the weight and its distance from the fulcrum must be the same on each side; that is,
w1x1 = w2x2This equation is called the law of the lever.

A plank 35 ft long rests on top of a flat-roofed building, with 5 ft of the plank projecting over the edge, as shown in the figure. A worker weighing 245 lb sits on one end of the plank. What is the largest weight that can be hung on the projecting end of the plank if it is to remain in balance?

Click here to see answer by scott8148(6628)

Question 367423: There were 590 people at play. the admission price was $3.00 for adults and $1.00 for children. The admission receipts were $1070. How many adults and children attended.
Click here to see answer by Jstrasner(106)

Question 367438: A 200-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 40 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.
Click here to see answer by mananth(12270)

Question 367260: The average number of cucumber seeds in a package is 25. The number os seeds in a package can vary by three. Find the range of acceptable number is seeds in each package.
I did 22>x<28 is this correct. I am very confused on inequality word problems. Thank you.
Click here to see answer by scott8148(6628)

Question 367476: Completely factor the expression

Click here to see answer by Fombitz(13828)

Question 367485: If a ball is thrown upward 32 ft per second from a 40 ft. tall building,the height of the ball can be measured by S=40+32t-16t^2, where t is the number of seconds after the ball is thrown. Find the t and S coordinates of the vortex of this quadratic equation.
I am not quite sure how to solve this. I was originally factoring it out.
0=-16t^2+32t+40
0=-4(4t^2-8t-10)

Click here to see answer by scott8148(6628)

Question 367551: You are back on the HOA board. The time has come to buy more trees and bushes for the neighborhood park. The first order was for 24 bushes and 16 trees and the bill totaled $3960. The second order was 12 bushes and 32 trees and the bill totaled $5220.
Write an equation illustrating the first bill using b for the cost of the bushes and t for the cost of the trees.
Tips: This is writing a basic equation showing the bill. We know how many trees and bushes and the total bill. The unknowns are the cost of each.
Your Solution - Show your Work Below Worth 1 Point

Click here to see answer by mananth(12270)

Question 367553: You are moving to a new home. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.
Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
Tips: We need to solve the charge from the two companies for two hours of work. We will multiply the hourly rate by the number of ours. Heavy Lifters have a fee we need to add.

Click here to see answer by mananth(12270)

Question 367507: If, in the ordered pair (a, b), a and b have different signs, then the point
(a, b) is ________ in the second quadrant.
Click here to see answer by robertb(4012)

Question 367595: a civil engineer surveyed a 360 feet section of country road. he placed one stake at the top of the hill 18 feet higher than the other stake placed at the intersection at the bottom of the hill. what is the slope of the incline on this section of the road?
Click here to see answer by Theo(3458)

Question 367565: Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
PLEASE GIVE STEPS, I HAVE NO CLUE ON WHAT TO DO AND WHERE TO START, PLEASE!
Click here to see answer by Fombitz(13828)

Question 367727: Use polynomial long division to divide
-20x^3 – 10x^2 – 16x – 8
by
-5x^2 – 4
Click here to see answer by Fombitz(13828)

Question 367726: Multiply
3x – 2
by
4x^2 – 5x – 3
Click here to see answer by Fombitz(13828)

Question 367730: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
3x2 + 6x – 5 = 0
Click here to see answer by Fombitz(13828)

Question 367729: Subtract.
(4n^6 – 7n^5 + 5) – (9n^6 – n^5 + 8)
Click here to see answer by ichudov(499)

Question 367765: Solve by factoring
3a^(2)+5=-8a

Click here to see answer by Fombitz(13828)

Question 367878: The U.S. Postal Service reports that we open and read 78% of the junk mail that we receive. A sports instructional videotape company sends out 10,500 advertising brochures.
Source: U.S. Postal Service
a) How many of the brochures can it expect to be opened and read?

b) The company sells videos to 189 of the people who receive the brochure. What percent of the 10,500 people who receive the brochure buy the video?

Click here to see answer by rfer(12644)

Question 367920: The basketball team finished its season with 12 wins.It won twice as many games asit lost. How many games did it play in all. I need to figure out the equation for this problem. Thank you.
Click here to see answer by scott8148(6628)

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