Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1041950: Lewiston and Vernonvile are 112 miles apart. a car leaves lewiston traveling towards Vernonvile, and another car leaves Vernonvile at the same time, traveling towards Lewiston. The care leaving Lewiston averages 10 milles per hour more than the other, and they meet after 1 hour and 36 minitues. What are the average speeds of the cars.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1041977: Assuming that at each branch point in the maze below any branch is equally likely to be chosen, determine the probability of entering room A. (Type an integer or a simplified fraction.)
Picture below is of the maze
http://textflow.mheducation.com/figures/1259299740/ch08-unfig42_lg.jpg
Click here to see answer by jim_thompson5910(35256) |
Question 1041971: Amanda and Dirk are renting in‐line skates for a day in the park. They both take the same size shoe, and there are 4 pairs remaining in their size. Unbeknownst to them, 2 of the pairs of skates have defective bearings. If they randomly choose 2 pairs, what is the probability they will both get a pair of skates that are not defective?
(List all of the outcomes of the sample space.)
Click here to see answer by robertb(5830)  |
Question 1041975: A box contains 7 black, 3 red, and 5 purple marbles. Consider the two-stage experiment of randomly selecting a marble from the box, replacing it, and then selecting a second marble. Determine the probabilities of the events in the following. List the sample space
a)Selecting 2 black marbles. Give answer as a simplified fraction.
Click here to see answer by robertb(5830)  |
Question 1041976: a)If you flipped a fair coin 6 times and got 6 heads, what would be the probability of getting a head on the next toss? Enter your answers as fractions.
b. If you rolled a fair die 7 times and got only the numbers 1, 2, 3, 4, and 5, what would be the probability of rolling a 6 on the next turn? Enter your answers as fractions.
Click here to see answer by stanbon(75887) |
Question 1041985: Explain how the meanings of "seven more than a number" and "seven is more than a number" are different. Give a numerical example of each to show the distinction.
Explain the reason and importance of using "letters" in algebraic problems. Use an example to support your answer.
Click here to see answer by josgarithmetic(39614) |
Question 1041995: Samsung and Apple are competing on the number of phones sold. The average profit per 𝑥 hundred phones earned by each company can be modeled by the rational functions below, where 𝑥=>0.
Samsung: S(x)= (80x+150)/x
Apple: A(x)=(35𝑥+600)/𝑥
How many phones are to be sold the profit earned by Samsung to be greater than the profit earned by Apple?
Click here to see answer by robertb(5830)  |
Question 1041969: What is the fewest number of tacks needed to hold up 41 pictures of the same size so that each picture can be seen and each corner is tacked? (Suggestion: Use strategies: making a drawing and solving a simpler problem.)
Click here to see answer by robertb(5830)  |
Question 1041972: To gather data involving their classmates, 34 fourth graders each filled out a personal information survey sheet. In the category of pets, 16 students had a cat, 21 students had a dog, and 8 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat?
Click here to see answer by jorel555(1290) |
Question 1041972: To gather data involving their classmates, 34 fourth graders each filled out a personal information survey sheet. In the category of pets, 16 students had a cat, 21 students had a dog, and 8 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat?
Click here to see answer by Edwin McCravy(20054)  |
Question 1041973: A hospital laboratory uses two tests to classify each sample of blood. The first test correctly identifies the blood type 57 percent of the time, and the second test correctly identifies the blood type 60 percent of the time. If the probability is 0.62 that at least one of the tests correctly identifies the blood type, what is the probability that both tests correctly identify the blood type?
Click here to see answer by jorel555(1290) |
Question 1042061: hello,
phone company A charges $35 per month, plus .25 per minute roaming charges.
phone company B charges $45 per month, plus .05 per minute roaming charges.
when will these plans cost the same?
please show a written equation answer.
thanks
Click here to see answer by stanbon(75887) |
Question 1041993: SAC held a spring fling. SAC provides the following formulas about the spring fling.
1. The number, N, of people who attend the park is a function of price, p, in dollars:
𝑁(𝑝) = −(𝑝 + 5)(𝑝 − 17) assuming the minimum ticket price is $12.
2. The revenue, 𝑅, is 𝑅(𝑝) = 𝑁(𝑝) × 𝑝
3. The cost, C, of running the event can be modeled by the function
𝐶(𝑝) = 75 + 12𝑁(𝑝).
a. Write the combined function y = R(p) - C(p) and explain what it represents.
Click here to see answer by stanbon(75887) |
Question 1042099: The amount of active ingredient of medicine ingested by the body, A in milligrams, is a function of time, t, in hours, given by A(t)=5/8(12t-t^2).
a)Determine the average rate of change of the amount of medicine ingested during each of the intervals below and compare the two rates with resect to the given situation.
4 to 6 hours and 6 to 8 hours.
b) Estimate the slope of the tangent at the point P(4,80/3). Use interval of 0.01. Round final answer to the nearest hundredth. Explain what the value represents for this situation.
Click here to see answer by stanbon(75887) |
Question 1042293: A metal solid right circular cone of base radius 4cm and height 12cm is put into a hollow cylinder with the same base radius and height as that of the cone. Then the cylinder is completely filled with water. Later, some water is pumped out of the cylinder such that the depth of water becomes 9cm. Find the volume of water pumped out.
Please help thanks
Click here to see answer by mathslover(157)  |
Question 1041970: Five students will be randomly selected from the seven top students in mathematics to represent their school in a regional competition. Angela (A) and Brian (B) are among the seven students, and they wish to determine the probability that they will both be chosen. Using A, B, C, D, E, F, and G to denote the students, set up a sample space to determine this probability. What is the probability they will both be chosen? Enter probability as a fraction.
Click here to see answer by Fombitz(32388)  |
Question 1042421: Eighteen points are equally spaced on a circle, from which you will choose a certain number at random. How many do you need to choose to guarantee that you will have the four corners of at least one rectangle?
Help is much appreciated, do you need to draw a diagram? Thanks.
Click here to see answer by ikleyn(52756)  |
Question 1042421: Eighteen points are equally spaced on a circle, from which you will choose a certain number at random. How many do you need to choose to guarantee that you will have the four corners of at least one rectangle?
Help is much appreciated, do you need to draw a diagram? Thanks.
Click here to see answer by robertb(5830)  |
Question 1042420: Zac has three jackets, one black, on brown and one blue. He has four shirts, one white, one blue, one red and one yellow. He has three pairs of trousers, one brown, one white and one yellow. How many combinations of jacket, shirt and trousers are possible if no two items are of the same colour?
Click here to see answer by Edwin McCravy(20054)  |
Question 1042458: Two trains are 500 miles apart when they first start moving towards each other. If in two hours the distance between them is 300 miles and one train goes 20 miles faster than another, find the speed of the faster train. (Note: there are two possible solutions. Find both.)
Click here to see answer by ikleyn(52756)  |
Question 1042418: A hotel has rooms that can accommodate up to two people. Couples can share a
room, but otherwise men will share only with men and women only with women.
How many rooms are needed to guarantee that any group of 100 people can be
accommodated?
Click here to see answer by Edwin McCravy(20054)  |
Question 1042461: Jessica drove to her cabin on the lake and back. it took one hour longer to go there than it did to come back. the average speed on the trip there was 50 km/h. the average speed on the way back was 75 km/h. how many hours did the trip there take?
Click here to see answer by Alan3354(69443)  |
Question 1042908: At a party, colas , squash and fruit juice were offered to guests. A fourth of the guests drank colas , a third drank squash , two fifths drank fruit juice and just three did not drink anything. How many guests were there in all ?
Click here to see answer by ikleyn(52756)  |
Question 1042908: At a party, colas , squash and fruit juice were offered to guests. A fourth of the guests drank colas , a third drank squash , two fifths drank fruit juice and just three did not drink anything. How many guests were there in all ?
Click here to see answer by macston(5194)  |
Question 1042908: At a party, colas , squash and fruit juice were offered to guests. A fourth of the guests drank colas , a third drank squash , two fifths drank fruit juice and just three did not drink anything. How many guests were there in all ?
Click here to see answer by MathTherapy(10549)  |
Question 1042915: A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a beggar waiting outside the shop. She spent half of the remaining amount on a book and three dollars on bus fare. When she reached home , she found that she had exactly one dollar left. How much money did she start with ?
Click here to see answer by Edwin McCravy(20054)  |
Question 1042917: The length of a rectangle exceeds its breadth by 9 cm. If length and breadth are each increased by 3 cm , the area of the new rectangle will be 84 cm^2 more than that of the given rectangle. Find the length and breadth of the given rectangle.
Click here to see answer by ikleyn(52756)  |
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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, 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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, 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17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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