Questions on Word Problems: Mixtures answered by real tutors!

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Question 1159919: estion

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
40
%
salt and Solution B is
65
%
salt. She wants to obtain
40
ounces of a mixture that is
60
%
salt. How many ounces of each solution should she use?

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Question 1160004: a number is at most 45

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Question 1160199: The following are a set of points, where there is one unknown value. Use linear interpolation to determine the unknown value, y. Provide your answer to two decimal places. (x0,y0)=(10,80), (x1,y1)=(40,5), (x,y)=(x,43.85)
Click here to see answer by MathLover1(20850) About Me 
Question 1160199: The following are a set of points, where there is one unknown value. Use linear interpolation to determine the unknown value, y. Provide your answer to two decimal places. (x0,y0)=(10,80), (x1,y1)=(40,5), (x,y)=(x,43.85)
Click here to see answer by Alan3354(69443) About Me 

Question 1160254: Alex and Shannon went out in two separate boats to place markers for a boat race. Their paths formed an angle of 85. Alex rowed at 15 m/h and Shannon rowed at 20 m/h to place their markers. How far apart are the markers if they rowed for 2 hours?
Click here to see answer by solver91311(24713) About Me 

Question 1160300: Which of the following could not represent the lengths in cm of the three sides of a right triangle?
A: a = 20, b = 21, c = 29 Strike Reset
B: a = 10, b = 24, c = 30 Strike Reset
C: a = 7, b = 24, c = 25 Strike Reset
D: a = 3, b = 4, c = 5

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Question 1160380: A photographer has two bottles of developer, one a 70% solution, the other, 20% solution. How much developer should he take from each bottle to make 10 ounces of 50% solution?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1160380: A photographer has two bottles of developer, one a 70% solution, the other, 20% solution. How much developer should he take from each bottle to make 10 ounces of 50% solution?
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Question 1160403: A new car loses 11% of its value the moment you drive it out of dealership parking lot as a new owner. Mr. Green paid $31000 for his new car. How much does his car cost when he gets to the road?

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Question 1160428: You need a 5% alcohol solution. On hand, you have a 35 mL of a 50% alcohol mixture. How much pure water will you need to add to obtain the desired solution?
A) Write an equation using the information as it is given above that can be used to solve this problem. Use
x as your variable to represent the amount of pure water you need to use.
Equation:

B) You will need
? mL of pure water
to obtain
? mL of the desired 5% solution.

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Question 1160426: A coffee distributor needs to mix a(n) Ethiopian coffee blend that normally sells for $8.10 per pound with a Breakfast coffee blend that normally sells for $14.30 per pound to create 80 pounds of a coffee that can sell for $12.67 per pound. How many pounds of each kind of coffee should they mix?
A) Write an equation using the information as it is given above that can be solved to answer the question. Use
x as your variable to represent the quantity of Ethiopian coffee blend.
Equation:
B) Answer: They must mix
?pounds of the Ethiopian Blend
?pounds of the Breakfast Blend.
Round your answers to the nearest whole number of pounds.

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Question 1160466: John wants to make a 100 ml of 5% alcohol solution mixing a quantity of 2% alcohol solution with a 7% alcohol solution. What are the quantities of each should he need to use?
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Question 1160379: A first aid treatment for extensive burn calls for a solution which is 5% baking soda. How much ounces of water must be added to 12 ounces of a 15% solution of baking soda so that the new solution will only be 5% baking soda?
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Question 1160614: The Miller family and the Rivera family each used their sprinklers last summer. The water output rate for the Miller family's sprinkler was
20L
per hour. The water output rate for the Rivera family's sprinkler was
15L
per hour. The families used their sprinklers for a combined total of
55
hours, resulting in a total water output of
975L
. How long was each sprinkler used?

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Question 1160614: The Miller family and the Rivera family each used their sprinklers last summer. The water output rate for the Miller family's sprinkler was
20L
per hour. The water output rate for the Rivera family's sprinkler was
15L
per hour. The families used their sprinklers for a combined total of
55
hours, resulting in a total water output of
975L
. How long was each sprinkler used?

Click here to see answer by ikleyn(52787) About Me 

Question 1160653: At the city museum, child admission is
$5.30
and adult admission is
$9.10
. On Monday, twice as many adult tickets as child tickets were sold, for a total sales of
$470.00
. How many child tickets were sold that day?

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Question 1160949: A ball is thrown straight up. What are the velocity and acceleration of the ball at the highest point in its path?
A) V = 0, a = 0 B) V = 0, a = 9.8 C) V = 9.8, a = 0 D) V = 9.8, a = 9.8

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Question 1160949: A ball is thrown straight up. What are the velocity and acceleration of the ball at the highest point in its path?
A) V = 0, a = 0 B) V = 0, a = 9.8 C) V = 9.8, a = 0 D) V = 9.8, a = 9.8

Click here to see answer by ikleyn(52787) About Me 

Question 1161169: How many quarts of pure antifreeze must be added to 9 quarts of a 50​% antifreeze solution to obtain a 60​% antifreeze​ solution?
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Question 1161169: How many quarts of pure antifreeze must be added to 9 quarts of a 50​% antifreeze solution to obtain a 60​% antifreeze​ solution?
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Question 1161240: How much 10% alcohol solution should be mixed with 14 ounces of 18% solution to get a 12% solution?
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Question 1161240: How much 10% alcohol solution should be mixed with 14 ounces of 18% solution to get a 12% solution?
Click here to see answer by MathTherapy(10552) About Me 

Question 1161279: Tom drove from Toronto to Owen sound, a distance of 550km. The trip took 7 hours. Tom drove at 70km/h for the part of the trip and at 85km/h for the remainder of the trip. How far did he drive at 70km/h?
much appreciated :)

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Question 1161481: A scientist mixes water (containing salt) with a solution that contains 20% salt. She wants to obtain 140 ounces of a mixture that is 15% salt. How many ounces of water and how many ounces of the 20% salt solution should she use?
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Question 1161481: A scientist mixes water (containing salt) with a solution that contains 20% salt. She wants to obtain 140 ounces of a mixture that is 15% salt. How many ounces of water and how many ounces of the 20% salt solution should she use?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1161481: A scientist mixes water (containing salt) with a solution that contains 20% salt. She wants to obtain 140 ounces of a mixture that is 15% salt. How many ounces of water and how many ounces of the 20% salt solution should she use?
Click here to see answer by ikleyn(52787) About Me 

Question 1161827: In a tropical fish store, one tank contains 65 kilograms of seawater with 7% salt.
a. How much pure water must be added to have 5% salt?
b. How much water must be evaporated to contain 9% salt?

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Question 1161827: In a tropical fish store, one tank contains 65 kilograms of seawater with 7% salt.
a. How much pure water must be added to have 5% salt?
b. How much water must be evaporated to contain 9% salt?

Click here to see answer by ikleyn(52787) About Me 

Question 1161826: A biologist has three grams of rat food containing 0.006 of Strontium 90 for use as a radioactive in a study of bone cancer in these animals. How many grams of food with 0.011% Strontium 90 must be added so that the content of that metal in the food is 0.008?
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Question 1161874: How much of an alloy that is 10% copper should be mixed with 400 ounces of an alloy that is 60% copper in order to get an alloy that is 20% copper

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Question 1161874: How much of an alloy that is 10% copper should be mixed with 400 ounces of an alloy that is 60% copper in order to get an alloy that is 20% copper

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Question 1161874: How much of an alloy that is 10% copper should be mixed with 400 ounces of an alloy that is 60% copper in order to get an alloy that is 20% copper

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Question 1161914: A garden table and a bench cost combined. The cost of the garden table is three times the cost of the bench. What is the cost of the
he bench?

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Question 1161919: 3. What if the desired final mixture was changed to yield a 35% mixture containing pure lemon juice?
a. How many gallons of a 20% solution should be mixed with 15 gallons of a 70% solution to yield a final mixture of lemonade containing 35% of pure lemon juice? Write your answer in complete sentences. Show all work.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1161919: 3. What if the desired final mixture was changed to yield a 35% mixture containing pure lemon juice?
a. How many gallons of a 20% solution should be mixed with 15 gallons of a 70% solution to yield a final mixture of lemonade containing 35% of pure lemon juice? Write your answer in complete sentences. Show all work.

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Question 1161934: A biologist wants to determine the blood volume of a small animal. It has a solution with 4% of a certain inert chemical compound. Inject 2.5 cm^3 of that solution into the animal's blood and wait until it has mixed well with the animal's blood. Take a small sample and the analysis indicates 0.2% of the inert product. What is the volume in cm^3 of the blood that the animal has?
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Question 1162065: A person plans to invest four times as much in an account at 4.3​% interest as in an account at 7.1​% annual interest. How much should the person invest in each account to earn a total of $ 486 in one​ year?

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Question 1162068: In this investigation, you will be estimating the values of √40 √75 √90 √245 √450 √640 √675 and to the nearest hundredths place.
1. Describe clearly what strategy you plan to use to estimate these values.



2. Estimate the values to the nearest hundredth and show or briefly describe your work.
Radical
Work
Estimation

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Question 1162068: In this investigation, you will be estimating the values of √40 √75 √90 √245 √450 √640 √675 and to the nearest hundredths place.
1. Describe clearly what strategy you plan to use to estimate these values.



2. Estimate the values to the nearest hundredth and show or briefly describe your work.
Radical
Work
Estimation

Click here to see answer by ikleyn(52787) About Me 

Question 1162080: The mean daily sales for a bookstore were $700 over the last 60 days. The standard deviation of this population is $85. What is the 95% confidence interval?
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Question 1162082: Mr. Wilson invested money in two accounts. His total investment was $29,000. If one account pays 4% in interest and the other pays 7% in interest, how much did he invest in each account if he earned a total of $1,550 in interest in 1 year?
Click here to see answer by greenestamps(13200) About Me 
Question 1162082: Mr. Wilson invested money in two accounts. His total investment was $29,000. If one account pays 4% in interest and the other pays 7% in interest, how much did he invest in each account if he earned a total of $1,550 in interest in 1 year?
Click here to see answer by ikleyn(52787) About Me 

Question 1162069:
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Question 1162264: How many milligrams of uranium with 72% purity and 84.8% must be mixed to obtain 9 milligrams with 80% purity?
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Question 1162264: How many milligrams of uranium with 72% purity and 84.8% must be mixed to obtain 9 milligrams with 80% purity?
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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