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

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Question 1133223: Hi
what is the vertex and the axis of symmetry of the following parabola.
f(×)= 2x^2+6x+7
Thanks
Click here to see answer by josgarithmetic(39615)

Question 1133223: Hi
what is the vertex and the axis of symmetry of the following parabola.
f(×)= 2x^2+6x+7
Thanks
Click here to see answer by ikleyn(52769)

Question 1133223: Hi
what is the vertex and the axis of symmetry of the following parabola.
f(×)= 2x^2+6x+7
Thanks
Click here to see answer by MathTherapy(10551)

Question 1133188: The circumference of the earth is 40,098.222 kilometres. A rope has been stretched right around the equator. This rope is then made 12 metres longer and is suspended just above the earth, an equal distance from the earth's surface all the way around.
Which of the following would a person be able to do:
A Wriggle between the rope and the earth's surface in a lying down position.
B Crawl under the rope on hands and knees.
C Walk under the rope - possibly stooping a little
D Twelve extra metres in such a huge distance would make so little difference that you would not be able to get under the rope.
Click here to see answer by ikleyn(52769)

Question 1133224: Bare wire to insulated wire has the ratio 29:41 for a certain grade. The bare wire weighs 87 lbs. Determine weight of insulated.
Help me solve this.
Click here to see answer by rfer(16322)

Question 1133209: Since this question has an image, I'll post on in this link
https://imgur.com/a/0rV2aw8
I don't understand the actual answer in this question. Is there some concept to be learnt to answer this question?
Click here to see answer by greenestamps(13198)

Question 1133189: In a Maple Street the odd numbers are on one side of the street and the even-numbered houses on the other. On one side of Maple Street there are six houses and one vacant allotment. The sum of the numbers on that side is 38. If a house is built on the vacant allotment its number will be
A. 6
B. 11
C. 13
D. 14
Click here to see answer by greenestamps(13198)

Question 1133179: A certain plant reproduces by splitting into equal-sized halves every 30 minutes. In 30 minutes, each of these new plants grows sufficiently to reproduce once again.
A gardener plants one of these plants in the centre of a circular plot, and finds it takes eight hours to cover the plot. If he had commenced with two plants rather than one in the same plot, the time taken to cover the plot would have been
A 4 hours
B 4.5 hours
C 7.5 hours
D 8 hours
Click here to see answer by greenestamps(13198)

Question 1133196: Two bridges on the Blake River are 10 km apart. You can see along the river from one bridge to the other. A telescope was placed on one bridge, and a bull's-eye target was placed on the other bridge. Each was 6 metres above the surface of the water.
As part of an experiment, the telescope was lined up on the target. During the experiment, a boat passed between the target and the telescope. The tip of the mast appeared in front of the target as viewed through the telescope, yet the tip of the mast was only five metres above the water.
The best explanation for the mast tip being seen through the telescope was that it was caused by: -
A. The tidal pull of the moon
B. The slope of the river as it flows to the sea
C. bending of the light in damp air over the river
D. The curvature of the earth
Click here to see answer by ikleyn(52769)

Question 1133244: The total cost of repairing a car is the sum of the amount paid for parts and the amount paid for labor. You paid $78 for parts and $45 for each hour of labor. The total cost to repair the car was $168.

Click here to see answer by addingup(3677)

Question 1133238: a plumber has a 20 foot piece of pvc pipe. how many 7/5 foot pieces can be cut from the 20 foot piece?
Click here to see answer by addingup(3677)

Question 1133275: Benjamin threw a rock straight up from a cliff that was
24ft above the water. If the height of the rock h, in feet, after t seconds is given by the equation h equals negative 16 t squared plus 20 t plus 2 h=−16t2+20t+24, how long will it take for the rock to hit the water?
Click here to see answer by Boreal(15235)

Question 1133295: The volume of a 15-oz cereal box is 180.4 in.3. The length of the box is 3.2 in. less than the height, and its width is 2.3 in. Find the height and length of the box to the nearest tenth.

Click here to see answer by MathLover1(20849)

Question 1133304: A container of mercury has a volume of 50 cm^3. Mercury has density of 13.6 gm./cm.^3. Find weight of full container.

Density = Mass/Volume.
Not sure from here.
Click here to see answer by josgarithmetic(39615)

Question 1133373: In d group of 180 people composed of men,women,and children,there are twice as many men as women,and three times as many woman as children. How many are there of each?...jessehernandez514@gmail.com
Click here to see answer by ikleyn(52769)

Question 1133427: Two unit squares share the same center. The overlapping region of the two squares is an octagon with perimeter 3.5. What is the area of the octagon?
Click here to see answer by ikleyn(52769)

Question 1133466: P, Q, and R are three points on level ground with Q due east of P and R due south of P. A vertical mast PT stands at P and the angle of elevation of the top of T, from Q is 3.43°. If PQ = 1000m and PR = 750m, calculate
a) the bearing of Q from R,
b) the height of the mast,
c) the angle of elevation of T from R.
Click here to see answer by josgarithmetic(39615)

Question 1133488: Liza earns $480 per week for 40 hours of work if she works overtime she makes $18 per overtime hour find a rule for the linear function that describes your weekly salary if you work 6 hours of overtime use it to find how much Liza earns if she work 6 hours of overtime
Click here to see answer by addingup(3677)

Question 1133491: a school lunch costs $2.50. a monthly lunch pass costs $40.00. which inequality represents the number x of lunches you must purchase for the monthly pass to be a better deal?

Click here to see answer by ikleyn(52769)

Question 1133477: A survey of 1045 workers in a plant indicated that 660 owned houses, 800 owned cars, 355 owned boats, 500 owned cars and houses, 260 owned houses and boats, 310 owned cars and boats, and 250 owned all three.
(a) How many of the workers did not own any of the three items?
workers
(b) How many of the workers owned only two of the items?
workers
Click here to see answer by ikleyn(52769)

Question 1133513:

Click here to see answer by josgarithmetic(39615)

Question 1133584: Granite which is crushed has a specific gravity of 2.8(2.8 times as heavy as water). Find weight of 1 cu. yd. if the voids are 40%. (Voids are spaces between the portions of the granite).
Not sure how to solve.

Click here to see answer by Theo(13342)

Question 1133595: The approximate population of a city in South Africa was 460 000 in 1970. In 1980, it was 630 000. Hint: A(t)= A0ekt. Determine the formula describing the population growth. Estimate the population in 2020.
Click here to see answer by Boreal(15235)

Question 1133618: solve for the following system of equation
y=x^2-6
y=x-4
Click here to see answer by MathLover1(20849)

Question 1133699: Cara used 4 1/6 sheets of construction paper to make 1/6 of her poster board project. At that rate, how many sheets will she use for the whole project?
Click here to see answer by greenestamps(13198)

Question 1133635: In every numeration system (base x) there is a three-digit integer that is (x+1) times the sum of its digits. In base ten the number is 198. In base three the number is 121. Find the number in base seven that has this property.
Click here to see answer by greenestamps(13198)

Question 1133721: A painter scaled down the size of a painting to a height of 0.6m. Determine the new width of the painting if the original dimension were 1.7 m tall and 3.5 m wide?
Click here to see answer by josgarithmetic(39615)

Question 1133720: The challenging team was down by 12 points at the end of a basketball game, they scored 4 points for every 6 points the defending team scored. What was the final score the defending team at the end of the game?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1133644: A farm co-op wants to grow corn and soybeans. Each acre of corn requires 7 gallons of fertilizer and 0.50 hours to harvest. Each acre of soybeans requires 3 gallons of fertilizer and 1 hour to harvest. The co-op has available at most 40,500 gallons of fertilizer and 5,250 hours of labor for harvesting. If the profits per acre are $50 for corn and $45 for soybeans, how many acres of each should the co-op plant to maximize their profit? What is the maximum profit?
So far I have: 7x + 3y < 40,500
(0.5)x + y P(x,y) = $50x + $45y

Click here to see answer by greenestamps(13198)

Question 1133751: A tank contains 975L 800ml water. Find the maximum number of jugs that can be filled if each jug can hold 3L 500ml water?

Click here to see answer by josmiceli(19441)

Question 1133756: How many planes of symmetry does a rectangular solid 9cm by 9cm by 12cm have?
Click here to see answer by MathLover1(20849)

Question 1133731: Donna redeems a 10% off coupon at her
local nursery. After buying azaleas, bougainvillea, and bags
of potting soil, her checkout price before tax is $217.95. How
much would she have paid without the coupon?
Click here to see answer by MathLover1(20849)

Question 1133824: One computer requires 75 minutes to solve a complex math problem. A faster one
requires 50 minutes for the same problem. How long would it take if both computers
work together?
Click here to see answer by josmiceli(19441)

Question 1133850: How do I solve this problem?
Problem: Sulfur makes up what fraction of the mass of the human body?

Human body is based on a 70-kg person and sulfur mass of that person is 0.18kg.
Click here to see answer by josmiceli(19441)

Question 1133895: (m + n) / (m - n) + (m - n) / (m + n)
Find the sum.

Not sure how to continue.
Click here to see answer by algebrahouse.com(1659)

Question 1133895: (m + n) / (m - n) + (m - n) / (m + n)
Find the sum.

Not sure how to continue.
Click here to see answer by MathTherapy(10551)

Question 1133906: If 5/6 of a number is 10 greater than 1/3 of it, find the number.
Click here to see answer by MathLover1(20849)

Question 1133920: How do I do this word problem?
Problem: What is the mass of phosphorus in a 43-kg person?
Information given with problem: A 70-kg person has a mass phosphorus of 0.78
Click here to see answer by Alan3354(69443)

Question 1133936: In two square plots of grass, a side of one is ten yards longer than the side of the other, and areas are as 25 to 9. What are lengths of sides?
A square has equal sides.
Area of square = x^2

Let squares be square a and square b.
b = a + 10
Not sure how to continue.
Click here to see answer by josgarithmetic(39615)

Question 1133944: A twenty-kilogram bag of rice is consumed by m, number of boys in 10 days. When four more boys joined them, the same quantity of rice lasted only 8 days. If the rate if consumption is the same, find the value of m.
Click here to see answer by josgarithmetic(39615)

Question 1133976: Starting at midnight, how many times does the minute hand of a clock pass the hour hand in a 24-hour period
Click here to see answer by Boreal(15235)

Question 1133886: In a certain region all license plates are composed of three letters followed by three numbers, or three numbers followed by three letters. The only restriction is that zero can never be the first of the three numbers if the three numbers come first. Find how many license plates are possible.
Click here to see answer by Glaviolette(140)

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