Tutors Answer Your Questions about Inequalities (FREE)
Question 1116754: For his phone service, Justin pays a monthly fee of
$23, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $111.74.
What are the possible numbers of minutes he has used his phone in a month?
Use M for the number of minutes, and solve your inequality for M.
Click here to see answer by Boreal(15235)   |
Question 1116908: Chris runs a barber's shop. It costs him £20 per day to cover his expenses and he charges £4 for every hair cut.
(a) Explain why his profit for any day is £ (4x -20) , where X is the number of haircuts in a that day .
He hopes to make at least £50 profit per day , but does not intend to make more than £120 profit.
(b) write down an inequality to describe this situation.
(c) solve the inequality.
Click here to see answer by josgarithmetic(39613) |
Question 1118431: The formula R equals minus 0.075t plus 3.85 can be used to predict the world record in the 1500 meter run, t years after 1930. Determine an inequality that identifies the years in which the world record will be less than 3.7 minutes.
Click here to see answer by solver91311(24713)  |
Question 1118431: The formula R equals minus 0.075t plus 3.85 can be used to predict the world record in the 1500 meter run, t years after 1930. Determine an inequality that identifies the years in which the world record will be less than 3.7 minutes.
Click here to see answer by josmiceli(19441)  |
Question 1118663: Each day , a factory makes three types of widget : basic , standard and luxury. The widget produced need three different components : type A , type B and type C.
Basic widget need 6 components of type A , 6 components type B and 12 components of type C.
Standard widgets need 4 components of type A ,3 compliance of type B , and 18 components of type C.
Luxury widgets need 2 components of type A , 9 components of type B and 6 components of type C.
Each day , there are 240 components of type A available , 300 of type B. 900 of type C.
Each day ,the factory must use at least twice as many components of type C as type B.
Each day , the factory makes X basic widgets , y standard widgets and z luxury widgets.
(a) In addition to x>\= 0 , y>\= 0 and z>\=0 , find four inequalities in x, y and z that model the above constraints , simplify each inequality.
(b) Each day ,the factory makes the maximum possible number of widget . On a particular day , the factory must make the same number of luxury widgets as basic widgets.
(i) show that your answers in part (a) become
2x + y <\= 60
5x + y <\= 100
X + y <\= 50
Y >\= x
Click here to see answer by Theo(13342)  |
Question 1118638: Please solve this question,
A curtain is made up of two lengths of fabric sewed together side by side to make a double width. The final length of the curtain is 2.5m.
An extra 25cm has to be allowed onto each length for hems.
Mrs Black wants to make a pair of double width curtains.
A. How much fabric is needed all together to make the pair?---------------
B.How much is saved by getting fabric at £24.99 a meter rather than £30 per meter? ------------
Regards
Click here to see answer by stanbon(75887) |
Question 1119085: An assessment consists of 30 questions. 2 points are awarded for a correct answer and 1 point is deducted for an incorrect answer. No points are awarded or deducted for an unanswered question. Evelyn attempted 25 questions and her score was less than 45. Find the maximum number of correct answers she obtained.
Click here to see answer by josgarithmetic(39613) |
Question 1119630: This is a word problem.
Wendy is x years old and Jay is six years younger. The sum of their ages is less than 30 write an inequality involving x and solve it.
My text book doesn't have any examples of how to express inequalities from worded problems. The best that I came up with was x - 6 < 30
Click here to see answer by josgarithmetic(39613) |
Question 1120021: A store sells two models of laptop computers. Because of the demand, the store stocks at least three times as many units of model A as units of model B. The costs to the store for the two models are $700 and $1100, respectively. The management does not want more than $38,500 in computer inventory at any one time, and it wants at least fifteen model A laptop computers and five model B laptop computers in inventory at all times.
Find the system of inequalities describing all possible inventory levels. (Use x for units of product A and y for units of product B.)
Click here to see answer by Theo(13342) |
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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
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