Questions on Word Problems: Mixtures answered by real tutors!

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Question 1202052: Three friends drove southeast to New Mexico. Kyle drove half as far as Jamaal. Conner drove 4 times as far as Kyle. Altogether, they drove 476 miles. How far did each friend drive?
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Question 1202177: A marble leaves a 1.96 m high refrigerator with an initial horizontal velocity of 1.5 m/s.
a. What is the time required for the marble to hit the ground?
b. What is the horizontal distance between the edge of the refrigerator and the point where the marble lands?
c. What is the velocity of the marble just before it strikes the ground?

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Question 1202257: In the lab, Justin has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A as Solution B. Solution A is 16% alcohol and Solution B is 11% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 177 milliliters of pure alcohol?
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Question 1202257: In the lab, Justin has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A as Solution B. Solution A is 16% alcohol and Solution B is 11% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 177 milliliters of pure alcohol?
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Question 1202258: Eric invested his savings in two investment funds. The amount he invested in Fund A was 7000 less than the amount he invested in Fund B. Fund A returned a 5% profit and Fund B returned a 2% profit. How much did he invest in Fund B, if the total profit from the two funds together was $910?
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Question 1202287: Badminton is twice the amount of table tennis
Badminton is 25%
What is the percentage for table tennis?

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Question 1202301: The mass of a substance varies directly as the volume of the substance. If the mass of 7 liters of the substance is 42 kilograms, what will be the volume in liters of 63 kilograms of the substance?
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Question 1202301: The mass of a substance varies directly as the volume of the substance. If the mass of 7 liters of the substance is 42 kilograms, what will be the volume in liters of 63 kilograms of the substance?
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Question 1202339: Pressure varies inversely as the volume. When the pressure is 10 pascals, the volume is 150 liters. What would the volume be if the pressure is reduced to 3 pascals?
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Question 1202382: Graph the following system of linear inequalities.

{y≥0x≥02x+2y≥22x≥y
What are the corner points of the system?
Next, find a point that is in the feasible set of the system, but not on any of the boundary lines:

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Question 1202382: Graph the following system of linear inequalities.

{y≥0x≥02x+2y≥22x≥y
What are the corner points of the system?
Next, find a point that is in the feasible set of the system, but not on any of the boundary lines:

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Question 1202380: Consider the demand for tickets to see a specific hockey team play. The price of the ticket can be related to the quantity demanded (q) by the function: p=239−0.01q. When the arena is not close to full capacity the total cost can be expressed by the function: Cost=51q+5,000,000.
Find marginal revenue (MR) as a function of quantity demanded.
MR=
Let p∗ and q∗ be the price and quantity demanded where profit is maximized.
p∗=
q∗=
The hockey players union has negotiated a deal requiring the team owner to pay an extra $1,000,000 a year in salaries to the players. What should the new ticket price (p1) be to ensure that profit is maximized.
p1=

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Question 1202656: How much 9% saline solution should Kent mix with 70 cubic centimeters (cc) of a 17% saline solution to produce a 13% saline solution?
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Question 1202656: How much 9% saline solution should Kent mix with 70 cubic centimeters (cc) of a 17% saline solution to produce a 13% saline solution?
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Question 1202656: How much 9% saline solution should Kent mix with 70 cubic centimeters (cc) of a 17% saline solution to produce a 13% saline solution?
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Question 1202656: How much 9% saline solution should Kent mix with 70 cubic centimeters (cc) of a 17% saline solution to produce a 13% saline solution?
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Question 1202720: The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $5 per pound with some Orange Pekoe tea that sells for $2 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $2.50 per​ pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are​ required?


Click here to see answer by ikleyn(52781) About Me 
Question 1202720: The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $5 per pound with some Orange Pekoe tea that sells for $2 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $2.50 per​ pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are​ required?


Click here to see answer by josgarithmetic(39617) About Me 
Question 1202720: The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $5 per pound with some Orange Pekoe tea that sells for $2 per pound to get 300 pounds of the new blend. The selling price of the new blend is to be $2.50 per​ pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are​ required?


Click here to see answer by greenestamps(13200) About Me 

Question 1202993: the bottle says to add 4 oz of concentrate to 1 gallon of water but i only need to make mixture with 1 cup of water, how much concentrate should i mix with 1 cup of water?
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Question 1203015: How many liters of water must be added to 20 liters of a 20%salt solution to make it a 12.5 % salt solution
Please i need a diagram and step by step solution.thnk you

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Question 1203015: How many liters of water must be added to 20 liters of a 20%salt solution to make it a 12.5 % salt solution
Please i need a diagram and step by step solution.thnk you

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Question 1203015: How many liters of water must be added to 20 liters of a 20%salt solution to make it a 12.5 % salt solution
Please i need a diagram and step by step solution.thnk you

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Question 1203028: By volume, one alloy is 60, copper, 30, zinc, and 10, nickel. A second alloy has percents of 50,
30, and 20, respectively. A third alloy is 30, copper and 70, nickel. How much of each alloy is
needed to make 100 cm3 of a resulting alloy with percents of 40, 15, and 45, respectively?

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Question 1203028: By volume, one alloy is 60, copper, 30, zinc, and 10, nickel. A second alloy has percents of 50,
30, and 20, respectively. A third alloy is 30, copper and 70, nickel. How much of each alloy is
needed to make 100 cm3 of a resulting alloy with percents of 40, 15, and 45, respectively?

Click here to see answer by greenestamps(13200) About Me 
Question 1203028: By volume, one alloy is 60, copper, 30, zinc, and 10, nickel. A second alloy has percents of 50,
30, and 20, respectively. A third alloy is 30, copper and 70, nickel. How much of each alloy is
needed to make 100 cm3 of a resulting alloy with percents of 40, 15, and 45, respectively?

Click here to see answer by ikleyn(52781) About Me 

Question 1203078: A dairy farmer wants to mix a 20%
protein supplement and a standard 10%
protein ration to make 1200
pounds of a high-grade 15%
protein ration. How many pounds of each should he use?

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Question 1203078: A dairy farmer wants to mix a 20%
protein supplement and a standard 10%
protein ration to make 1200
pounds of a high-grade 15%
protein ration. How many pounds of each should he use?

Click here to see answer by ikleyn(52781) About Me 

Question 1203381: Last year, Goran
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Question 1203419: 12 ml of a 65% alcohol solution was mixed with 8 ml of an 80% alcohol solution. What is the concentration of the mixture?



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Question 1203419: 12 ml of a 65% alcohol solution was mixed with 8 ml of an 80% alcohol solution. What is the concentration of the mixture?



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Question 1203419: 12 ml of a 65% alcohol solution was mixed with 8 ml of an 80% alcohol solution. What is the concentration of the mixture?



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Question 1203419: 12 ml of a 65% alcohol solution was mixed with 8 ml of an 80% alcohol solution. What is the concentration of the mixture?



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Question 1203425: a metal weighing 6 mg and containing 4% copper is melted and mixed with 2 mg of a different alloy which contains 80% copper.What percent of the resulting alloy is copper?



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Question 1203425: a metal weighing 6 mg and containing 4% copper is melted and mixed with 2 mg of a different alloy which contains 80% copper.What percent of the resulting alloy is copper?



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Question 1203425: a metal weighing 6 mg and containing 4% copper is melted and mixed with 2 mg of a different alloy which contains 80% copper.What percent of the resulting alloy is copper?



Click here to see answer by josgarithmetic(39617) About Me 

Question 1203426: 14 oz.of mixed nuts containing 15% peanuts were mixed with 16 oz.of another kind of mixed nuts that contain 60% peanuts.Peanuts are what percent of the new mixture?

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Question 1203426: 14 oz.of mixed nuts containing 15% peanuts were mixed with 16 oz.of another kind of mixed nuts that contain 60% peanuts.Peanuts are what percent of the new mixture?

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Question 1203426: 14 oz.of mixed nuts containing 15% peanuts were mixed with 16 oz.of another kind of mixed nuts that contain 60% peanuts.Peanuts are what percent of the new mixture?

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Question 1203429: 2 oz.of soybean oil were mixed with 4 oz. of canola oil which costs $4/oz.to make vegetable oil which costs $3/oz.what is the price per oz. of soybean oil?
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Question 1203429: 2 oz.of soybean oil were mixed with 4 oz. of canola oil which costs $4/oz.to make vegetable oil which costs $3/oz.what is the price per oz. of soybean oil?
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Question 1203430: 8 kg of mixed nuts containing 25% peanuts were mixed with 6 kg of another kind of mixed nuts that contain 60% peanuts. what percent of the new mixture is peanuts
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Question 1203448: A rock is thrown upward with a velocity of 14 meters per second from the top of a 35 meter high cliff, and it misses the cliff on the way back down. When will the rock be 3 meters from ground level? Round your answer to two decimal places.

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Question 1203535: You need to strengthen a 22% alcohol solution with a pure alcohol solution to obtain a 70% solution. How much pure alcohol should you add to 100 milliliters of the 22% solution?
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Question 1203535: You need to strengthen a 22% alcohol solution with a pure alcohol solution to obtain a 70% solution. How much pure alcohol should you add to 100 milliliters of the 22% solution?
Click here to see answer by greenestamps(13200) About Me 

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