Tutors Answer Your Questions about Inequalities (FREE)
Question 1208891: A real estate agent agrees to sell an apartment complex according to the following commission schedule: $45,000 plus 25% of the selling price in excess of $900,000. Assuming that the complex will sell at some price between $900,000 and $1,100,000 inclusive, over what range does the agent’s commission vary? How does the commission vary as a percent of the selling price?
Click here to see answer by KMST(5328)   |
Question 1208955: In the United States,normal household voltage is 110 volts.However, it is not uncommon for actual voltage to differ from normal voltage by at most 5 volts. Express this situation as an inequality involving an absolute value.Use x as the actual voltage and solve for x.
Click here to see answer by ikleyn(52754)  |
Question 1208956: According to data from the Hill Aerospace Museum (Hill Air Force Base,Utah), the speed of sound varies depending on altitude, barometric pressure, and temperature.For example,at 20,000 feet,13.75 inches of mercury,and - 12.3°F, the speed of sound is about 707 miles per hour, but the speed can vary from this result by as much as 55 miles per hour as conditions change.
(a)Express this situation as an inequality involving an absolute value.
(b)Using x for the speed of sound,solve for xto find an interval for the speed of sound.
Click here to see answer by ikleyn(52754) |
Question 1209103: I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 400 pounds more than each of her trucks, but no more than 7/15 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?
Click here to see answer by ikleyn(52754) |
Question 1209105: My street hockey team plays three games each week. My team lost all $9$ games in the first three weeks. Then, my team won one game and lost two games in the fourth week, bringing our record to $1$ win and $11$ losses. Each week after that, my team won one game and lost two games. My team first wins at least $60\%$ of all its games by the end of the first $n$ weeks. What is $n$?
Click here to see answer by math_tutor2020(3816) |
Question 1209106: Jeri finds a pile of money with at least $200. If she puts $50 of the pile in her left pocket, gives away 9/10 of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $200 of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer as an interval.)
Click here to see answer by math_tutor2020(3816) |
Question 1209250: The Smiths have saved $25,000 toward the purchase of a new car. If the sales tax is 5%, the purchase of the Smiths' new car before taxes cannot exceed what?
I know the equation is 1.05p< 25,000. What I do not understand is why is the amount 1.05 and not just 0.05 for the 5%.
Click here to see answer by ikleyn(52754) |
Question 1209250: The Smiths have saved $25,000 toward the purchase of a new car. If the sales tax is 5%, the purchase of the Smiths' new car before taxes cannot exceed what?
I know the equation is 1.05p< 25,000. What I do not understand is why is the amount 1.05 and not just 0.05 for the 5%.
Click here to see answer by math_tutor2020(3816) |
Question 1197418: Florence is preparing cookies for a charity event and has to ensure that she earns profit to contribute to the charity. Each packet she sells consists of 10 cookies. Her fixed cost is €60 and the material cost for her cookies is €4.1/ with a packaging cost of €0.5N, in which N is the number of packs for every 10 cookies. Find N if Florence sells each packet for €6.50.
Click here to see answer by proyaop(69) |
Question 1191311: Part A: Fernando is a student at Walt Disney High School and needs 220 credits to earn his high school diploma. He currently has 124 credits completed. There are 10 learning periods in one school year.
1. How many learning periods would it take for fernando to graduate if he completes three modules per learning period? (Remember that each module is worth one credit.)
2. How many school years would it take for fernando to finish at this rate? (Remember: there are 10 learning periods per school year)
3.How many learning periods would it take Fernando to graduate if he completes five modules per learning period?
4. How many school years would it take for Fernando to finish at this rate?
Click here to see answer by CPhill(1959)  |
Question 1180924: you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write and inequality that describes the possible retail value of the items you can buy if you use the coupon. Write an inequality that describes the different amount of money you can spend if you use the coupon.
Click here to see answer by CPhill(1959) |
Question 1180924: you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write and inequality that describes the possible retail value of the items you can buy if you use the coupon. Write an inequality that describes the different amount of money you can spend if you use the coupon.
Click here to see answer by ikleyn(52754) |
Question 1180924: you have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write and inequality that describes the possible retail value of the items you can buy if you use the coupon. Write an inequality that describes the different amount of money you can spend if you use the coupon.
Click here to see answer by timofer(104) |
Question 1179843: You are attending Thanksgiving at your family member's house and agreed to bring two side dishes with you; potatoes and corn. You are on a budget though and can only spend $30 in total. You determined that you need at least 10 pounds of food to have enough for all your relatives. Potatoes cost $0.75 per pound and corn costs $1 per pound. The preparation time to peel each pound of potatoes is 15 minutes and to shuck each pound of corn takes 9 minutes. You absolutely hate preparing food and want to minimize the amount of time you need for it. Use the variable "p" to represent number of pounds of potatoes and "c" to represent number of pounds of corn.
a) State what your objective function is, in words, and then write out an equation that represents it.
b) Write out your constraints for the cost and quantity as inequalities. There should be 4 constraints in total.
I'm sorry if I asked that question for the category "Linear equations" and it should be in "Inequalities". Anyway, can you please help me with this homework problem by explaining it step-by-step? Once again, I apologize for my error.
Click here to see answer by ikleyn(52754) |
Question 1170680: The results of a poll claiming a 4% margin of error indicated that a candidate was favored by 48% of the voters. Write an absolute value inequality representing the percent of voters favoring the candidate. Then solve the inequality to state the range of the candidate's support.
Click here to see answer by CPhill(1959) |
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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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