Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 1210642: 4.
You have $39 to spend at the music store. Each cassette tape costs $5 and each CD costs $11. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.
Click here to see answer by ikleyn(53937)  |
Question 962822: A plane takes about 4.5 hours to fly 1800 miles from chicago to sacramento. At the same time another plane flies from chicago to sacramento. This plane travels with the same average airspeed, but the flight to chicago takes 3.75 hours. Find the average airspeed of the planes. Find the average wind speed.
Click here to see answer by ikleyn(53937)  |
Question 1157924: The transport department is collecting information about traffic levels on the SouthEast Freeway. Yesterday they placed a traffic data collection instrument at a particular location along the motorway. The instrument reported that the number of cars passing each minute varied linearly between 6:30am and 7:30am, and then quadratically (of the form at2 + bt) from 7:30am until 8am. The datashowedthat90carspassedthedatacollectorat7am, whileat7:30am150carspassedin1minute; at 8am, there were 360 cars passing in 1 minute. (The problem text probably means that 90 cars passed in the 1 minute between 7:00am and 7:01am)
(a) Assign a variable to be the number of cars passing the data collection instrument in any minute, and a variable to represent the number of minutes after 6:30am.
(b) Find the function that relates these two variables, and graph the function.
(c) How many vehicles were passing the data collection instrument at 6:30am? At 7:50am?
(d) For the linear part of the graph, explain the meaning of the slope in the context of how many cars were passing.
Click here to see answer by KMST(5396)  |
Question 264864: an airplane travels 900 miles from houston to miami in 6 hors against the wind.on its return trip, with the wind, it takes only 5 hours. find the rate of the airplane with no wind. find the rate of the wind
Click here to see answer by ikleyn(53937)  |
Question 1008376: At an altitude of 12,250 feet,a hot air balloon springs a leak and begins to be descending at a rate of 450 ft. Per minute. The last opportunity for the crew to safely jump out with a parachute is 1900 feet above the ground. How long from the time they Sprung the leak will they have before they are required to jump, use an inequality and solve.
Thank You!
Click here to see answer by josgarithmetic(39838) |
Question 1008376: At an altitude of 12,250 feet,a hot air balloon springs a leak and begins to be descending at a rate of 450 ft. Per minute. The last opportunity for the crew to safely jump out with a parachute is 1900 feet above the ground. How long from the time they Sprung the leak will they have before they are required to jump, use an inequality and solve.
Thank You!
Click here to see answer by ikleyn(53937)  |
Question 1163456: In an online shopping rebate program, customers recieve a rebate of a given percent of their purchase amount until they reach a certain minimum threshold in a month. They recieve a larger percentage rebate on any additional purchases beyond this threshold. If a customer spends more than his minimun threshold in a month, his total rebate is given by the function R=4x + (x+5)(0.01z-4). Which of the following statements is true?
a) the initial threshold is 1,000.
b) x represents the total amount the customer spends.
c) x represents the percentage discount for the purchases over the threshold.
d) the initial threshold is 400.
Click here to see answer by KMST(5396)  |
Question 17643: If possible, I would love some help with this problem. I need to be able to solve it with substitution. I am able to do substitution but the only problem I have is finding the equations within the problem. Thanks so much in advance! Here is the question:
Kelly invested her savings of $4800. She invested part in mutal funds, at 9% per year an the rest in GIC's, at 10% per year. At the end of the yera ,the interest from the mutual funds investment was $43 less than the interest from the GIC investment. How much was invested in each type of investment?
Click here to see answer by MathTherapy(10858)  |
Question 452157: bayside insurance offers two health plans. under plan a, giselle would have to pay the first $120 of her medical bills, plus 30% of the rest. under the plan b, giselle would pay the first $160 , but only 20% of the rest. for what amount of medical bills will plan b save giselle money? assume she has over $160 in bills giselle would save with plan b if she had more than $ in bills.
Click here to see answer by ikleyn(53937)  |
Question 439419: A swimming pool holds 540,000 liters of water. THe pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 180 min, and the second pipe alone can empty it in 120 min. When both pipes are draining together, how long does it take them to empty the pool?
Click here to see answer by josgarithmetic(39838) |
Question 439419: A swimming pool holds 540,000 liters of water. THe pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 180 min, and the second pipe alone can empty it in 120 min. When both pipes are draining together, how long does it take them to empty the pool?
Click here to see answer by ikleyn(53937)  |
Question 419129: A glue company needs to make some glue tat it can sell at $120 per barrel.It wants to use 150 barrels of glue worth $100 per barrel, along with glue worth $150 per barrel and and glue worth $190 per barrel.It must use the same number of barrels of $150 and $190 glue.How much of the $150 and $190 glue will be needed?How many Barrels of $120 glue will be produced?
Click here to see answer by josgarithmetic(39838) |
Question 419129: A glue company needs to make some glue tat it can sell at $120 per barrel.It wants to use 150 barrels of glue worth $100 per barrel, along with glue worth $150 per barrel and and glue worth $190 per barrel.It must use the same number of barrels of $150 and $190 glue.How much of the $150 and $190 glue will be needed?How many Barrels of $120 glue will be produced?
Click here to see answer by greenestamps(13367)  |
Question 419129: A glue company needs to make some glue tat it can sell at $120 per barrel.It wants to use 150 barrels of glue worth $100 per barrel, along with glue worth $150 per barrel and and glue worth $190 per barrel.It must use the same number of barrels of $150 and $190 glue.How much of the $150 and $190 glue will be needed?How many Barrels of $120 glue will be produced?
Click here to see answer by ikleyn(53937)  |
Question 427227: a radiator contains 25 quartz of water and antifreeze solution, which of 60 percent (by volume) is antifreeze. how much of this solution should be drained and replaced with water for the new solution to be 40 percent antifreeze.?
Click here to see answer by timofer(159) |
Question 427227: a radiator contains 25 quartz of water and antifreeze solution, which of 60 percent (by volume) is antifreeze. how much of this solution should be drained and replaced with water for the new solution to be 40 percent antifreeze.?
Click here to see answer by greenestamps(13367)  |
Question 427227: a radiator contains 25 quartz of water and antifreeze solution, which of 60 percent (by volume) is antifreeze. how much of this solution should be drained and replaced with water for the new solution to be 40 percent antifreeze.?
Click here to see answer by ikleyn(53937)  |
Question 428486: mr. sharma ivested a total of 30,000 in two ventures for a year. the annual return from one of them is 8% and the other paid 10.5% for the year. he recieved a total income of 2250 from both. how much did he invest at each rate???
i need help solving this problem.
Click here to see answer by josgarithmetic(39838) |
Question 428486: mr. sharma ivested a total of 30,000 in two ventures for a year. the annual return from one of them is 8% and the other paid 10.5% for the year. he recieved a total income of 2250 from both. how much did he invest at each rate???
i need help solving this problem.
Click here to see answer by ikleyn(53937)  |
Question 729988: At a fund raising service in a church,there were twice as more women as there were men.The men paid $7.5 each and the women paid $5 each.The total cash collected was $3850.How many people were in the church that day?
Click here to see answer by timofer(159) |
Question 729988: At a fund raising service in a church,there were twice as more women as there were men.The men paid $7.5 each and the women paid $5 each.The total cash collected was $3850.How many people were in the church that day?
Click here to see answer by ikleyn(53937)  |
Question 1165246: Owen is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fee to join the gym is $100 and the total cost of membership, including the joining fee, would be $200 for 2 months. Write an equation for C, in terms of t,
representing the total cost of the gym membership over t months.
Click here to see answer by mananth(16949)  |
Question 731825: 9) The cost of 8 muffins and 2 quarts of milk is $18. The cost of 3 muffins and 1 quart of milk is $7.50. What is the cost of each item?
10) The length of a rectangle is 3 meters more than the width. The perimeter is 26 meters. What are the dimensions of the rectangle?
11) A veterinarian examined twice as many cats as dogs. She examined a total of 30 cats and dogs. How many of each animal did she examine?
12) In one season, Naomi made four times as many goals as Kennedy. Together, they made 15 goals. How many goals did each girl make?
Click here to see answer by timofer(159) |
Question 731825: 9) The cost of 8 muffins and 2 quarts of milk is $18. The cost of 3 muffins and 1 quart of milk is $7.50. What is the cost of each item?
10) The length of a rectangle is 3 meters more than the width. The perimeter is 26 meters. What are the dimensions of the rectangle?
11) A veterinarian examined twice as many cats as dogs. She examined a total of 30 cats and dogs. How many of each animal did she examine?
12) In one season, Naomi made four times as many goals as Kennedy. Together, they made 15 goals. How many goals did each girl make?
Click here to see answer by ikleyn(53937)  |
Question 1166455: Eric earns a weekly salary and a commission on each item that he sells. The equation y = 10x + 50 represents the amount of money that Eric earns weekly. Bailey earns a greater weekly salary than Eric but the same commission rate. Which graph could represent the amount of money that Bailey earns weekly, y, based on the number of items sold, x?
Click here to see answer by CPhill(2264)  |
Question 1166495: Experts fear that without conservation efforts, tigers could disappear from the wild by 2022. Just one hundred years ago, there were at least 100,000 wild tigers. By 2010, the estimated world tiger population was 3,200. The table below shows the estimated world tiger population for selected years from 1970 through 2010.
Year Wild Tiger Population
1970 37,500
1980 28,000
1990 12,500
2000 6,300
2010 3,200
The polynomial function f(x)=0.76x^3-30x^2-882x+37,807 models the population of wild tigers, where x represents the number of years since 1970.
Using the website https://www.desmos.com/calculator, graph the polynomial using the settings 0 to 40 (step 5) for the x-axis and 0 to 40000 (step 5000) for the y-axis. Do not use commas in any of the numbers. Share the graph by exporting and downloading the image. Include the graph as part of your solution.
Find and interpret the function’s value at 40. Does this overestimate or underestimate the actual data shown in the table? By how much?
Find and interpret the function’s value at 10. Does this overestimate or underestimate the actual data shown in the table? By how much?
Based on the graph alone, what is the lowest population of wild tigers and in what year does this take place?
Click here to see answer by CPhill(2264)  |
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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
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