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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 268832: In a certain year, April has exactly four Tuesdays, and exactly 4 Saturdays. On
what day could April 1 possibly fall that year?
a. Monday b. Tuesday c. Wednesday d. Friday e. Saturday

Click here to see answer by CharlesG2(834)

Question 268932: The bottom, side, and front areas of a rectangular box are known. The product of these areas is equal to
(A) The volume of the box (B) The square root of the volume
(C) Twice the volume (D) The square of the volume. (E) None of these.
Click here to see answer by Alan3354(69443)

Question 268437: when x^7- 2x^4 + 5x^3 +x-9 is multiplied by -3x^6-3x^4 + 4x^3-5x^2 +1 and the like terms are combined , what is the coefficient of x^4?

Click here to see answer by persian52(161)

Question 268978: Ozzy goes to bed at 8 pm while Kristen & Sean go to bed at 11 pm. If Ozzy sleeps twice as long as Kristen and Sean sleeps 6 hours more than Kristen and Sean and Ozzy sleep the same number of hours - what time does Kristen get up?
Click here to see answer by drk(1908)

Question 268994: Find the measures of the three angles of a triangle if the second is three times the first and the third is twice the second.
Click here to see answer by drk(1908)

Question 268995: Find three consecutive whole numbers such that the sum of the first plus twice the second plus three times the third is 134.
Click here to see answer by drk(1908)

Question 268741: a 15-inch by 28-inch poster is to be framed using a border of uniform width. to make the framing visually appealing, the border should have an area equal to 60% of the area of the poster. how wide should the border be?

Click here to see answer by ankor@dixie-net.com(22740)

Question 269027: One serving of DietMuck is 2/3 of a cup. Jane wants to eat 2/3 of a serving of DietMuck. What fraction of a cup of DietMuck should Jane eat?
a. Draw pictures to help you solve this problem
b. In solving the problem, how does 2/3 appear in a different form?
c. What are the different wholes associated with the fractions in this problem? In other words, for each fraction in this problem, and its solution, what is the fraction "of"?
Click here to see answer by stanbon(75887)

Question 269109: There are six wrestlers in a tournament, each of whom must wrestle every other just one time. How many matches must be played?
Click here to see answer by josmiceli(19441)

Question 269108: Electricity costs 8 cents per kilowatt-hour. Every day, 365 days per year, a 100-watt light bulb burns for one hour. How much does this cost annually?
Click here to see answer by josmiceli(19441)

Question 269107: At a galactic get-together, there were twice as many two-headed creatures as one-headed creatures. If there were 45 heads at the gathering, how many two-headed creatures were there?
Click here to see answer by josmiceli(19441)

Question 269105: A basketball team scored 102 points. The team made six more field goals than foul shots. How many field goals did the team make in this game?
A. 32 B. 36 C. 40 D. 44 E. 48

Click here to see answer by checkley77(12844)

Question 269129: Point C is on the segment AB which has endpoints A(2, -1) and B(11, 5). Point C is twice as far from point A as it is from point B. What are the coordinates of point C?
Click here to see answer by scott8148(6628)

Question 269169: What power of 16 is equal to 8 ? express your answer as a common fraction

Click here to see answer by ankor@dixie-net.com(22740)

Question 269169: What power of 16 is equal to 8 ? express your answer as a common fraction

Click here to see answer by Alan3354(69443)

Question 269162: Three friends jog regularly in a park: Anna jogs every 10 days, Barbara jogs every
15 days, and Jo jogs every 14 days. One Sunday they happen to jog together.
After how many days will the three friends jog together again?
(A)150 (B) 210 (C) 350 (D) 420 (E) Never

Click here to see answer by ankor@dixie-net.com(22740)

Question 269261: A bank loaned $67,000, part of it at a rate of 15% per year and the remaining part at a rate of 8% per year. If the interest received was $7,600, how much was loaned at 15%?
Click here to see answer by checkley77(12844)

Question 269164: Gita has 558 flags to pack into boxes. Each box will hold 62 flags. How many boxes will Gita need to hold all the flags ?
(A) 34,596 (B) 0.9 (C) 9 (D) 620 (E) None of these.
Click here to see answer by dabanfield(803)

Question 269273: A 240-in. pipe is cut into two pieces. One piece is three times the lenght of the other. Find the lengths of the pieces.

this is what I got so far I think I did it right\
240=3x
Click here to see answer by josmiceli(19441)

Question 269293: A certain model of car with a normal engine costs $11,000 to purchase and 22 cents a mile to operate. The same car with a fuel-injection engine costs $11,300 to purchase but only 20 cents a mile to operate. After how many mile does the total cost of both cars become the same?
Click here to see answer by rfer(16322)

Question 269354: The number of revolutions of a wheel, with fixed center and with an outside diameter of 6 m, required to cause a point on the rim to go one km is
(A)880 (B) 440/pi (C) 500/3pi (D) 440 pi (E) None of these.

Click here to see answer by mananth(16946)

Question 269355: A large watermelon weighs 20 kg with 98% of its weight being water. It is left to stand in the sun and some of the water evaporates so that now only 95% of its weight is water. What is its reduced weight?
(A)17 kg (B) 19.4 kg (C) 10 kg (D) 8 kg (E) None of these.

Click here to see answer by stanbon(75887)

Question 269360: There are 16 red, 16 blue and 16 yellow marbles in a jar. What is the fewest marbles you can remove from the jar so that the ratio of red to non-red marbles is 13 to 29 and the ratio of yellow to non-yellow marbles is 13 to 29?

Click here to see answer by Edwin McCravy(20055)

Question 269373: By counting very quickly you notice that your car tire makes 672 revolutions in one mile. What is the radius of the tire rounded to the nearest inch?
(1) 14 (2) 15 (3) 16 (4) 17 (5) None of the above
Click here to see answer by mananth(16946)

Question 269377: In a special local election, one candidate received 288 votes less than twice the number of votes of the opponent. How many votes did each candidate receive if the total number of votes in the election is 136,395?
Thank you for your help.
Click here to see answer by stanbon(75887)

Question 269399: On the box of a model car, the scale given is 1 inch: 2 feet.
A) If the tire on the model is 2 inches, how big is the actual tire of the car?
B) If the windshield is 4.5 inches, how big is the acual windshield?
Click here to see answer by JBarnum(2146)

Question 269415: Two more than three times the difference of a number and 2 is five. Find the number.
Click here to see answer by drk(1908)

Question 269492: If an object is thrown upward with an initial velocity of 96 ft/sec, its height after t sec is given by h = 96t - 16t2. Find the number of seconds before the object hits the ground.
Click here to see answer by Alan3354(69443)

Question 269374: A farmer spends $4,000 to obtain 100 head of livestock.Prices are: calves � $120 each; lambs � $50 each; piglets � $25 each. If he purchased at least one animal of each type and fewer than 10 calves, how many lambs did he buy?
(1) 44 (2) 46 (3) 48 (4) 50 (5) None of the above
Click here to see answer by ptaylor(2198)

Question 269604: Lashonna Harris is a buyer for Plough. She can purchase 100 pounds of chemicals for $97. At this same rate, how much would 2,000 pounds of the chemical cost.
Click here to see answer by palanisamy(496)

Question 269601: Two sides of a triangle have the same length. The third side measures 2m less than twice the common length. The perimeter of the triangle is 22m. What are the lengths of the three sides?
Click here to see answer by scott8148(6628)

Question 269551: Hello Guys,
I think I got it can you please check it for me here is the question and the answer.
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6. Repetition of digits is permitted.
Thank you,
1.Use the counting principle to determine the number of points in the sample space.

2.Construct a tree diagram to represent this situation and submit it to the week 5, assignment 3 dropbox.

3.List the sample space.

4.Determine the exact probability of creating a mini license plate with an R. Give solution exactly in reduced fraction form.

HERE IS MY ANSWER:
First our license plate must be in the form of
# - L - L,
or,
number - letter - letter.
we have 2 choices for the numbers, 2 or 6
we have 3 choices for the letters r - u - n.
repetition is allowed: So there is a second 3 choices for letters r - u - n
---
1. Use the counting principle to determine the number of points in the sample space.
ANSWER: The counting principal is all about multiplying the number of ways one event occurs x the number of ways a second event occurs x the number of ways a third event occurs and so on. In our case we have 2 number choices and 3 letter choices, but two times.
2 x 3 x 3 = 18.
---
2. Construct a tree diagram to represent this situation.
ANSWER:
step 1 - write a 2 and below it with a little space write a 6
step 2 - from the 2 draw 3 arrows and next to the end of these write R,U, N
step 3 - next to each of the letters draw another 3 arrows and write the letters again for R,U,N
step 4 - from the 6 draw 3 arrows and next to the end of these write R,U,N
step 5 - next to each of the letters draw another 3 arrows and write the letters again for R,U,N
---
3. List the sample space.
ANSWER: this is pretty straight forward from the tree diagram. we get
2aa, 2ab, 2ac, 2ba, 2bb, 2bc, 2ca, 2cb, 2cc,
6aa, 6ab, 6ac, 6ba, 6bb, 6bc, 6ca, 6cb, 6cc.
2ab plate is different from 2ba plate
---
4. Determine the EXACT probability of creating a mini license plate with a R. Give the solution in reduced fraction form.
ANSWER: 2ac, 2bc, 2cc, 2ca, 2cb, 6ac, 6bc, 6cc, 6ca, 6cb
"with a R" means to me one or two R"s in any order.
P(R) = 10/18 = 5/9.

Click here to see answer by Edwin McCravy(20055)

Question 269619: a cement walk of uniform width is built around a 20 foot by 40 foot rectangular pool an the area of the walk is 700 square feet. How wide will the walk be?
Click here to see answer by drk(1908)

Question 269618: a rectangular cutting board is 6 inches longer than it is wide. If the area of the cutting board is 216 square inches, find the length and the width.
This is my attempt to the problem but then I am stuck.
A=lw
216=6(L) * w

Click here to see answer by Earlsdon(6294)

Question 269651: At a point on the ground 80ft from the base of a tree, the distance to the top of the tree is 11ft more than 2 times the height of the tree. Find the height of the tree. (Simplify your answer. Round to the nearest foot as needed.)

Click here to see answer by mananth(16946)

Question 269707: A person is standing on a staircase. He walks down 4 steps, up 3 steps, down 6 steps, up 2 steps,up 9 steps, and down 2 steps. Where is he standing in relation to the step on which he started?
(A) 2 steps above (B) 1 step above (C) The same place (D) 1 step below (E) None of these.

Click here to see answer by mananth(16946)

Question 269725: how much of an alloy that is 10% copper should be mixed with 500 ounces of an alloy that is 70% copper in order to get an alloy that is 20% copper?
Click here to see answer by josmiceli(19441)

Question 269822: Please help me solve the following word problem: A picture frame measures 12 centimeters by 20 centimeters. 48 cm^2 of the picture shows inside the frame. Find the length and width of the inside of the frame.
Click here to see answer by drk(1908)

Question 269797: A tree casts a shadow 21 m long. At the same time, the shadow cast by a 46-cm tall statue is 69 cm long. Find the height of the tree. Round results to the nearest unit
Click here to see answer by checkley77(12844)

Question 269971: Three individuals form a partnership and agree to divide the profits equally. X invests
$9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less
does x receive compared to having the profits divided in proportion to the amounts
invested by X, Y, and Z?
Click here to see answer by stanbon(75887)

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, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690