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

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Question 1057416: the half life of radium is 1690 years. if 70 grams are present now, how much will be present in 450 years?

Click here to see answer by stanbon(75887)

Question 1057415: A professional drag racer's time was 4.54 sec. Determine speed.
rate * time = distance.
4.54 / 3600 = .00126 hrs.
Distance: .25 miles.
.25 / .00126 = 198.41 mph.
Speed given was lower. Where am I incorrect? Thanks.
Click here to see answer by stanbon(75887)

Question 1057428: Ref. Question 1057415:
A professional drag racer's time was 4.54 sec. Determine speed.
rate * time = distance.

4.54 / 3600 = .00126 hrs.

Distance: .25 miles.
.25 / .00126 = 198.41 mph.

Speed given was 155 mph. How was that answer obtained ?

Click here to see answer by Alan3354(69443)

Question 1057513: A photographer increases the size of a picture by 50%. The image is still not large enough so she increased the image by another 25%. The length of the original picture was 8 inches. What was the length of the picture

Click here to see answer by josgarithmetic(39613)

Question 1057517: A skateboard is regularly priced at $80. Witha coupon, you will save $12. What is the percent of change
Click here to see answer by jim_thompson5910(35256)

Question 1057469: An hourglass is turned over with the top part filled with sand. After 3 minutes, there are 855 mL of sand in the top half. After 10 minutes, there are 750 mL of sand in the top half. What is the y-intercept?
Click here to see answer by ikleyn(52748)

Question 1057437: the population of rabbits in a forest follows the law of exponential growth, if 62 rabbits are present initially and there are 122 after 3 years , how many will there be in 6 years?
Click here to see answer by Fombitz(32388)

Question 1057601: I'm having trouble answering the bottom two questions!! Please help as soon as possible and also please SHOW ALL WORK !!! Thank you !!
You and your friend are driving 379 miles from Los Angeles to San Francisco. Your friend leaves first, driving 52 miles per hour. She is 32 miles from Los Angeles when you leave, driving 60 miles per hour. How far do each of you drive before you are side by side? Write an equation to represent the situation and solve.
*If you left Los Angeles at 6 am when will you get to San Francisco?
*At what time would your friend reach San Francisco?
Click here to see answer by Boreal(15235)

Question 1057687: Each brick weighs 4pounds 14ounces. Your truck can carry a 3/4ton load. How many bricks can your truck carry in a full load?
Click here to see answer by josgarithmetic(39613)

Question 1057700: How many 5 letter word out of the first 8 letters in the english alphabet can be formed with the vowels always included? pls help with a little explanation.thanks a lot and more power.

Click here to see answer by solve_for_x(190)

Question 1057753: how much of an alloy that 30% copper should be mixed with 300 ounces of an alloy that is 90% copper in order to get an alloy that is 40% copper ?
Click here to see answer by josmiceli(19441)

Question 1057651: A board 79 inches long is cut into 3 pieces. The second piece is 5 inches longer than the first. The third piece is twice as long as the second. If x represents the length of the first piece, then which equation can be used to determine the length of the first piece?
Click here to see answer by jorel555(1290)

Question 1057847: Graph the following quadratic equations, find and label with the correct coordinates the vertex , the y intercepts , and any x intercepts y=(x-3)^2 +4
Click here to see answer by josgarithmetic(39613)

Question 1057853: Paul throws his loose change into a pencil holder on his desk and takes out every two weeks. This time it was all quarters and nickels. There are four times as many quarters as nickels. He had a total of $13.65. Find the number of quarters and nickels.
Click here to see answer by ikleyn(52748)

Question 1057901: Linda had 48 fliers to post around town. Last week she post two thirds of them. This week, she posted one fourth of the remaining fliers. How many fliers has she still not posted?
Click here to see answer by ewatrrr(24785)

Question 1057969: 3 gifts wrappers can wrap a box full of gifts in 20 minutes, 30 minutes and 80 minutes respectively how long will it take them to wrap the box full of gifts if they work together
Click here to see answer by rothauserc(4718)

Question 1057983: How long does it take for a deposit of $ 900 to double at 4% compounded continuously?
Click here to see answer by solve_for_x(190)

Question 1057986: Suppose the average yearly salary of an individual whose final degree is a master's is $37 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $119 thousand. Find the average yearly salary of an individual with each of these final degrees.
Click here to see answer by jorel555(1290)

Question 1057995: Jessica works in a factory during the summer packing boxes to be shipped. In one 4 hour period, Jessica packs 124 boxes. How many boxes does Jessica pack in one hour? What part of an hour does it take jessica to pack one box. Explain the difference between the two unit rates found.
Click here to see answer by josgarithmetic(39613)

Question 1058002: A circular plot of ground is to be enclosed with posts. If the posts are placed a ft. apart, the amount needed will be 150 short. If placed 1 yard apart, the amount will be 70 over. Determine circumference of plot.

Circumference of circle = pi * diameter.
Unsure how to proceed. Thanks.

Click here to see answer by ikleyn(52748)

Question 1057989: The top and bottom margins of a poster are 6 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 384 square centimeters, find the dimensions of the poster with the smallest area.
Click here to see answer by ikleyn(52748)

Question 1058018: The side of a square is 3 cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square, if it�s known that the area of the square is 30 cm2 less than the area of the rectangle.
Click here to see answer by josmiceli(19441)

Question 1058007: A rectangular storage container with an open top is to have a volume of 12 cubic meters. The length of its base is twice the width. Material for the base costs 13 dollars per square meter. Material for the sides costs 7 dollars per square meter. Find the cost of materials for the cheapest such container.
Click here to see answer by josmiceli(19441)

Question 1058053: A certain isotope of silver, 110Ag decays exponentially at a rate of 2.8% per second. After 50.0 seconds, what percent of the original isotope remains?
Click here to see answer by Alan3354(69443)

Question 1058075: A certain steel tape is known to be 100000 feet long when the temperature of 70�F . When the tape is at a temperature of 10�F, what reading corresponds to a distance of 90 ft? Coefficient of linear expansion of the tape is 5.833 x 10-6 per �F.
Click here to see answer by Alan3354(69443)

Question 1058052: Radioactive Decay. A radioactive isotope, selenium (75Se), used in the creation of medical images of the pancreas, has a half-life of 119.77 days. If 250 milligrams are given to a patient, how many milligrams, A, are left after 34 days?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1058072: An engineer was told that a survey had been made on a certain rectangular field but the dimension had been lost .An assistant remembered that if the field had been 100 ft longer and 25 ft narrower, the area would have been increased by 2500 sq. ft, and that if it had been 100 ft shorter 50 ft wider, the area would have been decreased 5000 sq.ft. What was the area of the field?
Click here to see answer by josmiceli(19441)

Question 1058095: Find all solutions to the equation tan(t)=3/tan(t) in the interval [0,2pi]. First estimate the solutions from a graph, then find exact answers (given as fractions, not decimals). Enter your answers as a comma separated list.
Click here to see answer by Alan3354(69443)

Question 1058094: The pressure P (in pounds per square foot), in a pipe varies over time. Ten times an hour, the pressure oscillates from a low of 30 to a high of 250 and then back to a low of 30. The pressure at time t=0 is 30. Let the function P=f(t) denote the pressure in pipe at t minutes. Find a possible formula for the function P=f(t) described above. Remember to use t as your input value.
Click here to see answer by josmiceli(19441)

Question 1058099: You spend $108 on x DVDs. How much does each DVD cost?
Click here to see answer by macston(5194)

Question 1058091: If y=ax^2+bx+c passes through the points (-3,10), (0,1), and (2,15) what is the value of a+b+c?
Click here to see answer by josgarithmetic(39613)

Question 1058111: Given the equation 3x � 5y = 15:
a) Rewrite the equation in slope-intercept form.
b) Write an equation in point-slope form of the line through the point (-4, 1) parallel to the line with the equation given above.
c) Convert the equation found in part (c) to slope-intercept form.
d) Convert the equation found in part (c) to standard form, Ax + By = C, where A, B, and C are integers.

e) Graph both lines on one coordinate system. You may use the grid below or create your own.

Click here to see answer by josgarithmetic(39613)

Question 1058057: The half-life of messenger RNA (mRNA) in the cytoplasm of a bacterial cell is approximately 3.3 minutes. Assuming continuous decay, if 3000 mRNA molecules are produced in a bacterial cell before synthesis is suddenly halted, how long will it take for only 100 molecules to remain?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1058055: A yeast manufacturer finds that the yeast will grow exponentially at a rate of 13.7% per hour. How many kilograms of yeast must the manufacturer start with to obtain 500 kg at the end of 8 h?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1058125: An orchard has 1023 apple trees. The number of rows exceeds the number of trees per row by 2.How many trees are there in each row?
Click here to see answer by Boreal(15235)

Question 1058135: An investment group is renovating a commercial building and will rent offices to small businesses. The formula R=2(s+70) can be used to determine the monthly rent for an office with s square feet. All utilities are included in the monthly payment. For what square footage will the rent be less than $2800?
Click here to see answer by solve_for_x(190)

Question 1058097: The U-Drive Rent-A-Truck company plans to spend $16

million on 310

new vehicles. Each commercial van will cost $45000
,
each small truck $40000
,
and each large truck $80000
.
Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy?
Click here to see answer by solve_for_x(190)

Question 1058169: Six horses are entered in a race. In how many ways can they cross the finish line if ties are not allowed?
Click here to see answer by Fombitz(32388)

Question 1058178: n a class of 32 students, 15 students are taking history, 19 are taking English, and 4 are taking both. Draw a Venn diagram and determine how many students are taking neither history nor English?
Click here to see answer by ewatrrr(24785)

Question 1058172: a pizza parlor offers 5 toppings on a pizza. How many different pizzas are there with two toppings?
Click here to see answer by Boreal(15235)

Question 1058172: a pizza parlor offers 5 toppings on a pizza. How many different pizzas are there with two toppings?
Click here to see answer by ewatrrr(24785)

Question 1058194: In one year, a 4-wheeler salesman earns $20,000 plus 18% of the value of everything he sells. Write a linear model to express this situation?
Click here to see answer by addingup(3677)

Question 1058056: The proliferation of cells during the first weeks of human gestation is exponential. If 2 cells are initially present after fertilization, and the cells divide on average every 12 hours, how many cells will there be after 7 days? Assume continuous growth and round your answer to two significant digits.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1058281: When three pumps, A, B and C, are running together, they can pump 3600 gal per hour. When only A and B are running, 2300 gal per hour can be pumped. When only A and C are running, 2300 gal per hour can be pumped. What is the pumping capacity of each pump?
Click here to see answer by josgarithmetic(39613)

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, 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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