Questions on Word Problems: Mixtures answered by real tutors!

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Question 148868: I need an algebraic expression or formula for solving the following.
" A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection".
I was able to solve this using a chart displaying the multiples of 3, 8 and 15 side by side and calculating the sum of the different factors, of course starting by estimating the multiple of 3 first.

Click here to see answer by mangopeeler07(462) About Me 

Question 148997: a chemist wants to mix 20% acid solution with a 44% acid solution to get 24 L of a 29% acid solution. How many liters of the 20% solution and how many liters of the 44% solution should be mixed?
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Question 149155: Brenda made 46 and 59 on her first two Biology tests and has one test remaining. The average on the three tests must be at least 65 for Brenda to pass the course. Write an inequality to represent this situation using s for the score on the last test.
Click here to see answer by mangopeeler07(462) About Me 
Question 149155: Brenda made 46 and 59 on her first two Biology tests and has one test remaining. The average on the three tests must be at least 65 for Brenda to pass the course. Write an inequality to represent this situation using s for the score on the last test.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 149167: Let p, q, and r be the following statements:
p: Roses are red
q: The sky is blue
r: The grass is green
Translate the following statements into English
(a) p  q (b) p  (q  r) (c) q  (p  r) (d) (  r   q)   p

Click here to see answer by stanbon(75887) About Me 

Question 149352: a bottle contains 750 ml of fruit punch with a concentration of 50% pure fruit juice. Jill drinks 100 ml of the punch and then refills the bottle with an equal amount of a cheaper brand of punch. If the concentration of juice in the bottle is now reduced to 48%, what was the concentration in the punch that jill added?
and the answer is 35% but how did they got the answer?

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Question 149489: A lottery has one $2000. prize, two $1000. prizes, and ten $500. prizes. Two thousand tickets are sold at $5.00 each. find the expectation if a person buys two tickets. Four choices are -$.50, -$1.00, -$2.00, -$.25
How do I even go about wotking this?
Ellen

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Question 149606: a contractor has a 24-pound mixture that is no-fourth cement, and three-fourths sand. How much of a mixture that is half cement and half sand needs to be added to produce a mixture that is one-third cement?
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Question 149674: thnax for helping me th e last time i inquire;
solution m is 10% sugar while solution a is 30% sugar. a technician wants to have 60 liters mixture of solution m and a with 18% sugar. how many liters of each solution should be used.?

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Question 149891: How many liters each of a 2% salt solution and an 10% salt solution must be combined to produce 30 liters of a 4% salt solution?
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Question 149893: How many liters of a 60% salt solution must be added to 20 liters of a 12% salt solution to produce a 40% salt solution?
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Question 149894: How much water must be added to a 40 liters of a 30% salt solution to produce a 25% salt solution?
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Question 149921: An employees new salary is 25,305 after getting a 5% raise. What was the salary before the pay increase.
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Question 149895: How much water must be boiled off from 40 liters of a 30% salt solution to produce a 80% salt solution?
Click here to see answer by checkley77(12844) About Me 

Question 149861: 18 out of 20 customers make a purchase. If three customers are selected randomly one at a time, what is the probability that all will make a purchase?
Please help.

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Question 150237: how many liters of water must be added to 20 liters of a 70% antifreeze solutionto produce a 50% solution?
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Question 150399: company purchased 8 work shirts and 17 work pants at $273. Next month purchased additional 16 shirts & 13 pants for $357.
how much was each shirt & pant?

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Question 150329: Mr. Phillips bought 7 drums of two different cleaning fluids for his dry cleaning business. One of the fluids cost $30 a drum and the other was $20 a drum. The total price of the supplies was $160. How much of each fluid did Mr. Phillips buy? Write a system of equations and solve by graphing.
Click here to see answer by mangopeeler07(462) About Me 

Question 150407: how much water must be evaporated from a 10 kg solution which has 4% salt to make a solurtion of 10% salt?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 150420: This is a multiple choice proble that I am not getting any of the answers to.
The average amount customers at a certain grocery store spend yearly is $636.55. Assume the variable is normally distributed. If the standard deviation is $89.46, find the probability that a randomly selected customer spends between $550.67 and $836.94.

0.144 = 14.4%

0.820 = 82.0%

0.156 = 15.6%

0.943 = 94.3%
Please help,
Ellen

Click here to see answer by scott8148(6628) About Me 

Question 150427: Can someone help me please?


9. (6 pts) A couple plan to have exactly three children. (Need line segments? Use these)
(You may also hand draw your work and scan it in and save it in your .doc file,
as a .jpg or .pdf. Your choice.)
(a) Construct a tree diagram and list the sample space.

(b) Find the probability that the family has at least two girls.


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Question 150459: Can someone help me please?
A jar contains 5 yellow marbles, 16 green marbles, and 8 black marbles. If one marble is selected at random, what is the probability that it is not green? (Give solution as a fraction in lowest terms.)

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Question 150463: how do you do this problem?
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person. (Give solution as a fraction in lowest terms.)

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Question 150462: I need help please?
13. (4 pts) At an annual flower show, 6 different entries are to be arranged in a row.
a) How many different arrangements of the entries are possible?
b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?

Click here to see answer by stanbon(75887) About Me 

Question 150460: I need some help understanding this please.
A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?

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Question 150331: Paul's Plumbing charges $35 for any service call plus an additional $40 an hour for labor. A service call from Robert's Rapid Repair Plumbing costs $45 plus and additional $40 and hour for labor. When is the total price for a service the same for both companies? when is it better to use Paul's Plumbing? explain your answer in terms of slopes and y-intercepts.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 150486: Can I please get some help?
One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a red king. (Give solution as a fraction in lowest terms.)


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Question 150491: How do I work this problem? If a student's rank in a class of 400 students is 44, find the student's percentile rank.
Please help.

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Question 150505: a grocer mixes 12kg of one grade of beans with 10kg of another grade to obtain a blend worth 540 pesos. he then makes a second blend worth 610 pesos by mixing 8kg of the first grade with 15kg of the second grade. find the price per kilogram of each grade?
Click here to see answer by stanbon(75887) About Me 

Question 150506: an airplane made a 2040-kilometer trip in the direction of the wind in 5 hours last tuesday. if the trip against the direction of the wind took an hour longer, find the rate of the plane in still air and the velocity of the wind.
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Question 150508: there were 3/4 as many women as there were men in a train yesterday. at the next station, 12 women and 6 men got in. as a result, there were 6/7 as many women as men on the train. how many men and women were in the train at first?
Click here to see answer by nerdybill(7384) About Me 

Question 150518: How much pure water must be mixed with 3 pints of 70% developer to produce a misture that is 13% developer?
Click here to see answer by nerdybill(7384) About Me 

Question 150522: a plant manager needs a solution of 77% herbicide to be mixed with a solution of 67% herbicide to form 30 liters of 74% solution. How many liters of the 77% solution must he use?
Click here to see answer by mangopeeler07(462) About Me 

Question 150519: A solution of 75% pesticide is to be mixed with a solution of 51% pesticide to form 48 liters of a 64% solution. How much of the 75% solution is needed?
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Question 150521: a researcher orders a broth 40.2% glucose for her lab. However, she needs a stronger broth, one that is 50.1% glucose. She has 16.1 liters of 57% glucose broth in the stock room. How much 50.1% glucose broth can she make?
Click here to see answer by josmiceli(19441) About Me 

Question 150592: I'm really having diffuculties trying to understand this question.
11. (3 pts) The results of a survey for an airline are shown below
Traveler Male Female Total
Business 57 92 149
Vacation 72 74 146
Total 129 166 295
Use the chart to find the probability that the traveler was
a) male
b) on vacation given the traveler was male
c) female given the traveler was on business
(Give solutions as fractions in lowest terms.)
can someone please help me?

Click here to see answer by Edwin McCravy(20055) About Me 

Question 150573: How would you put this in expected value and fair price of ticket?
1000 tickets for prizes are sold for $2 each. Seven prizes will be awarded – one for $400, one for $200, and five for $50. Steven purchases one of the tickets. (Give solutions as decimals accurate to the nearest hundredth.)
a) Find the expected value
b) Find the fair price of the ticket.


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Question 150721: A 100 KILOGRAM MIXTURE OF 0.69 KG. OF PINTO BEANS AND 0.89 KG. KIDNEY BEANS IS VALUED AT 81.00. HOW MANY KILOGRAMS OF EACH DOES IT CONTAIN?.
Click here to see answer by stanbon(75887) About Me 

Question 150704: Can someone help me to understand this problem?


A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of two colors, red and blue, and with a choice of three seats, soft, medium, and hard.
a) Use the counting principle to determine the number of different arrangements of bicycles that are possible.
b) Construct a tree diagram illustrating all the different arrangements of bicycles that are possible.
c) List the sample space.


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Question 150710: a mixture of food a and b is to be made so that it contains at least 45 oz of nutrient N2. the cost per pound of a is $4 and each pound of A contains 1 oz of N1 and 2 oz of N2. Food b cost $8 per pound and each pound contains 1.5 oz of N1 and 0.5 of N2. if the weight of the mixture must not exceed 40lb, how many pound of each should be used so that the total cost is a minimum?
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Question 150836: can i please get help?
Select five random numbers between 30 and 100. Calculate the mean, median, mode, and midrange of these numbers. Based on your calculations, which measure of central tendency best represents these numbers?

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Question 150850: Solve This Problem Interactively Customize This Problem
A mixture containing 6% salt is to be mixed with 2 ounces of a mixture which is 15% salt, in order to obtain a solution which is 12% salt. How much of the first solution must be used?

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Question 150850: Solve This Problem Interactively Customize This Problem
A mixture containing 6% salt is to be mixed with 2 ounces of a mixture which is 15% salt, in order to obtain a solution which is 12% salt. How much of the first solution must be used?

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Question 150851: Sulfuric acid (H2SO4) can be used to remove water from organic materials leaving behind a residue of black carbon. If beaker A contains a 15% solution of sulfuric acid and beaker B contains a 20% solution of sulfuric acid, how much from each beaker should be used to make 6 liters of a 18% solution of sulfuric acid?

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Question 150851: Sulfuric acid (H2SO4) can be used to remove water from organic materials leaving behind a residue of black carbon. If beaker A contains a 15% solution of sulfuric acid and beaker B contains a 20% solution of sulfuric acid, how much from each beaker should be used to make 6 liters of a 18% solution of sulfuric acid?

Click here to see answer by josmiceli(19441) 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