Questions on Word Problems: Mixtures answered by real tutors!

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Question 1193520:
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Question 1194007: The circumference of a sphere is 46 \pi46π​ cm. What is the volume of the sphere?
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Question 1194202: You are given samples of cells from a plant. Your observation are that one group of cells have cell cycle that is 24 h in length and these cells are small. A second group of cells have a cell cycle that is 72 h in length and are larger compared to the first group of cell.
Which set of cell would you predict came from the root tip of the plant?
Which set of cells has the largest S.A.:V ratio(surface area to volume ratio)?
Which group of cell would be the most efficient?

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Question 1194208: You are given samples of cells from a plant. Your observation are that one group of cells have cell cycle that is 24 h in length and these cells are small. A second group of cells have a cell cycle that is 72 h in length and are larger compared to the first group of cell.
Which set of cell would you predict came from the root tip of the plant?
Which set of cells has the largest S.A.:V ratio(surface area to volume ratio)?
Which group of cell would be the most efficient?

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Question 1194225: ``You are given samples of cells from a plant. Your observation are that one group of cells have cell cycle that is 24 h in length and these cells are small. A second group of cells have a cell cycle that is 72 h in length and are larger compared to the first group of cell.
Which set of cell would you predict came from the root tip of the plant?
Which set of cells has the largest S.A.:V ratio(surface area to volume ratio)?
Which group of cell would be the most efficient?''.

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Question 1194310: How much sand must be added to 420lbs of concretemix that is 20% sand to have a mix that is 25% sand
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Question 1194310: How much sand must be added to 420lbs of concretemix that is 20% sand to have a mix that is 25% sand
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Question 1194310: How much sand must be added to 420lbs of concretemix that is 20% sand to have a mix that is 25% sand
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Question 1194311: Find the sum of the following vectors A=23.7, oA=16.5; B=20.1, Ob=53.6
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Question 1194658: Janet leaves home at 10:15a jogging 8mph.
Sue leaves the same home at 10:35am biking 18mph.
What time do they meet and at what mile?
solved for
their ratio of speed S4:J9 and distance of J9:S4
and at 10:25 Janet would have gone 2 2/3 miles.

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Question 1194679: ashley had b dollars to begin with. she just spent 49 dollars using b write out a problem to see how much money she had left

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Question 1194700: What is the distance between two cars after three hours if one car travels at the rate of 50 kilometers per hour and the other car at 60 km per hour if they have been traveling in the same direction?

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Question 1194699: What is the distance between two cars after three hours if one car travels at the rate of 50 kilometers per hour and the other car at 60 km per hour if they have been traveling in the same direction?

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Question 1195079: 3. You are being given a quadratic function in standard form, which is y = 2x2 - 26x + 72
a) Find the zeros (x-intercepts) of this function.
b) Write the equation of this quadratic function in factored form.
c) Write the equation of its axis of symmetry.
d) Find the optimal value of this function.
e) Write the equation of this quadratic function in vertex form.
4. An engineer needs to design a square-based berm ( a shallow container to prevent the spread of oil from a leaking oil tank). The cylindrical oil tank is 15 m in diameter, and has a height of 25 m. The berm must have a height of 4 m. Make the appropriate calculations and find the minimum dimensions of the berm.

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Question 1195114: If Katie scored an 80, 83, and an 88 on her first
three tests, what must she score on her fourth
test if she wants an average of 85? Enter your
answer in the text box below

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Question 1195114: If Katie scored an 80, 83, and an 88 on her first
three tests, what must she score on her fourth
test if she wants an average of 85? Enter your
answer in the text box below

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Question 1195288: A container contains 40L of wine which is 80% alcohol by volume. How much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 70%?
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Question 1195288: A container contains 40L of wine which is 80% alcohol by volume. How much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 70%?
Click here to see answer by math_tutor2020(3817) About Me 
Question 1195288: A container contains 40L of wine which is 80% alcohol by volume. How much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 70%?
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Question 1195288: A container contains 40L of wine which is 80% alcohol by volume. How much of the mixture should be removed and replaced by an equal volume of water so that the resulting solution will be 70%?
Click here to see answer by ikleyn(52781) About Me 

Question 1195325: An alloy is made by melting and combining two or more metals. A metalsmith has two alloys, each containing different amounts of silver, that will be melted and combined to form another alloy. Every 10 grams of alloy A contains 2 grams of silver, and every 10 grams of alloy B contains 7 grams of silver. To obtain 100 grams of an alloy that contains 50 grams of silver, how many grams of alloy A should be combined with alloy B?
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Question 1195325: An alloy is made by melting and combining two or more metals. A metalsmith has two alloys, each containing different amounts of silver, that will be melted and combined to form another alloy. Every 10 grams of alloy A contains 2 grams of silver, and every 10 grams of alloy B contains 7 grams of silver. To obtain 100 grams of an alloy that contains 50 grams of silver, how many grams of alloy A should be combined with alloy B?
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Question 1195460: Prepare 1 oz of drug dilution with concentration of 5mg/ml from a 50mg/ml stock bottle. How many ml of diluent are needed?
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Question 1195535: Jason forgot that his bicycle was locked up at school, so he ran to the school to get the bicycle, and then rode it back home, his running speed was 9.6kph and his riding speed was 28.8kph, find the distance between his home and school, if the round trip took 20 minutes
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Question 1195535: Jason forgot that his bicycle was locked up at school, so he ran to the school to get the bicycle, and then rode it back home, his running speed was 9.6kph and his riding speed was 28.8kph, find the distance between his home and school, if the round trip took 20 minutes
Click here to see answer by greenestamps(13200) About Me 
Question 1195535: Jason forgot that his bicycle was locked up at school, so he ran to the school to get the bicycle, and then rode it back home, his running speed was 9.6kph and his riding speed was 28.8kph, find the distance between his home and school, if the round trip took 20 minutes
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Question 1195565: At the museum, child admission is $5.30 and adult admission is $9.50. On Friday, 142 tickets were sold for a total of $1084.40. How many child tickets were sold that day?
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Question 1195876: a chef is going to use a mixture of two brands of italian dressing. the first brand contains 9% vinegar, and the second brand contains 14% vinegar. the chef wants to make 360 milliliters of a dressing that is 13% vinegar. how much of each brand should she use?
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Question 1195876: a chef is going to use a mixture of two brands of italian dressing. the first brand contains 9% vinegar, and the second brand contains 14% vinegar. the chef wants to make 360 milliliters of a dressing that is 13% vinegar. how much of each brand should she use?
Click here to see answer by greenestamps(13200) About Me 
Question 1195876: a chef is going to use a mixture of two brands of italian dressing. the first brand contains 9% vinegar, and the second brand contains 14% vinegar. the chef wants to make 360 milliliters of a dressing that is 13% vinegar. how much of each brand should she use?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1195951: 453x=175.find the value of x

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Question 1195951: 453x=175.find the value of x

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Question 1195959: A friend spent $19.5 on buying candy. Lollipops cost $0.32 and Hershey kisses cost $0.23
each. If she bought 75 pieces of candy, how many of each type did she buy?

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Question 1195959: A friend spent $19.5 on buying candy. Lollipops cost $0.32 and Hershey kisses cost $0.23
each. If she bought 75 pieces of candy, how many of each type did she buy?

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Question 1196169: A tank contains 40L of a mixture of plant fertilizer and water in which 20% of the mixture is fertilizer. How much of the mixture should be drained and replaced by an equal amount of water to dilute the mixture to 15% fertilizer
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Question 1196206: In the lab, Kevin 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 18% alcohol and Solution B is 11% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 390 milliliters of pure alcohol?
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Question 1196206: In the lab, Kevin 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 18% alcohol and Solution B is 11% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 390 milliliters of pure alcohol?
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Question 1196214: In the lab, Jim has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 12% alcohol. He uses 500 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 32% alcohol solution?
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Question 1196214: In the lab, Jim has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 12% alcohol. He uses 500 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 32% alcohol solution?
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Question 1196215: Two factory plants are making TV panels. Yesterday, Plant A produced 3000 panels. Ten percent of the panels from Plant A and 3%of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 6% ?

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Question 1196217: Juan invested his savings in two investment funds. The $15,000 that he invested in Fund A returned a 3% profit. The amount that he invested in Fund B returned a 10% profit. How much did he invest in Fund B, if both funds together returned a 5% profit?


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Question 1196208: Mai invested her savings in two investment funds. The $8000 that she invested in Fund A returned a 1% profit. The amount that she invested in Fund B returned a 5% profit. How much did she invest in Fund B, if both funds together returned a 4% profit?
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Question 1196208: Mai invested her savings in two investment funds. The $8000 that she invested in Fund A returned a 1% profit. The amount that she invested in Fund B returned a 5% profit. How much did she invest in Fund B, if both funds together returned a 4% profit?
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Question 1196261: Choose the correct answer.
For real valued x, the function f(x) = (x-a)(x-b)(x-c) will assume all real values provided if the following condition is satisfied:
(A) a < b < c
(B) a > b > c
(C) a > c > b
(D) a < b < c
(E) b > a > c

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Question 1196290: $12,312 is invested, part at 14% and the rest at 10%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 10% by $512.16, how much is invested at each rate? (Round to two decimal places if necessary.)

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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