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Question 1183403: Hello, I have a hard time trying to determine how to exactly go about solving this combination word problem (Please provide an in-depth or even pedantic explanation, as this concept is very confusing for me, thank you):
A play has two male roles, two female roles, and 2 roles that can be either gender. Only a man can be assigned to a male role, and only a woman can be assigned to a female role. If five men and six women audition, in how many ways can the six roles be assigned?

Click here to see answer by ikleyn(52748)

Question 1178344: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (Round your answers to the nearest whole number.)
(a) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 50 minutes?
T(50) =

(b) When will the turkey have cooled to 105°?
Click here to see answer by Lol_dude(1)

Question 1183474: y = t^2 + 4t + 10
Which of the following scenarios could be modeled by y in the equation above, where t represents time?
A. A population of ladybugs that doubles every four weeks.
B. The height of a rock that is dropped off a ten-foot cliff.
C. The height of a hot air balloon that accelerates as it rises.
D. The value of an investment that increases by 5% every quarter.

Click here to see answer by ikleyn(52748)

Question 1183477: Hi
A square garden is surrounded by a path of width 1m. What is the area of the garden if the outside perimeter of the path is 34m.
Thanks

Click here to see answer by Theo(13342)

Question 1183489: Hi
A store owner has a pound of a mixture of nuts that is 90% peanuts and 10% Brazil nuts by weight. How much weight in Brazil nuts must be added to make the mixture 75% peanuts.
Thanks
Click here to see answer by josgarithmetic(39613)

Question 1183508: The distance between two towns A and B; is 90 km. John cycles from A to B whereas Harry cycles from B to A: They start cycling towards each other at the same time. John cycles twice as fast as Harry does. If they meet 2 hours later, at what average speed is each cyclist traveling?
Click here to see answer by josgarithmetic(39613)

Question 1183513: Find the equation of the line below that passes through the origin (0,0) and the point (−1,14) .

Please enter your answer as "y=(-42/5)*x" or "y=(57/9)*x" with no spaces.

Also, find the equation of the line that is perpendicular to this line.

Maple plot

Equation of the line above is
Preview Change entry mode

Equation of the line perpendicular is
Preview Change entry mode
Click here to see answer by MathLover1(20849)

Question 1181820: The volume of the rectangular block in the figure is calculated from the following measurements of its dimensions:
𝑎=10.00±0.10 cm, 𝑏=5.00±0.06 cm and 𝑐=4.00±0.04 cm.
Calculate the error in the value of the volume of the block assuming:
a) the errors are independent
b) the errors are correlated such that they all push the estimate in the same direction.

Click here to see answer by robertb(5830)

Question 1181819: The period T of the motion of a body of mass M at the end of a spring with
spring constant k is given by:
T=2𝜋√M/k
Use the experimentally determined values
𝑀= (210± 5)𝑔
𝑇 =(1.1±0.1)𝑠
to calculate k and the error in k.
Click here to see answer by robertb(5830)

Question 1183658: Hi
A man bought a car for $8,250 paying a deposit of $380.00 and the balance at 280 dollars per month for over 5 years. After 4 months he found it too expensive. The car was repossessed and sold for 6400 dollars. The finance company then sent him a bill for 1066.70 dollars being the difference between what he owed and what they received for the car. He paid the bill and had no car. How much did he pay altogether.
Thanks

Click here to see answer by Solver92311(821)

Question 1183696: 590 attended a play. Admission $2.00 for adults and $1.00 for kids. $790 of tickets were sold. How many adult and kids tickets sold
Click here to see answer by ikleyn(52748)

Question 1183698: Hi
A certain journey took 40min to complete. If half the distance was travelled at an average speed of 100km per hour and the other half at an average speed of 60km per hour, what was the length of the journey.
Thanks
Textbook says its 24km.

Click here to see answer by ikleyn(52748)

Question 1183745: Hi
A team of 15 fruit pickers can clear 6 hectares in a week.
How many days would it take 21 fruit pickers.
If 6 hectares had to be cleared in 2 days how many pickers would be needed.
Thanks
Click here to see answer by Theo(13342)

Question 1183833: Hi
Bob went up a mountain at 5km per hour and down the mountain at 7.5 km per hour.
What was the average speed up and down the mountain.
Thanks
Click here to see answer by josgarithmetic(39613)

Question 1183839: Identify which collection are sets. Explain your answer.
1. collection Identify which collections are sets.
2. collection of young people in the campus
3. collection of textbooks in grade 7
4. collection of fruit bearing trees
5. collection of comfortable footwear
Click here to see answer by greenestamps(13195)

Question 1183837: A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
Click here to see answer by greenestamps(13195)

Question 1183834: Hi
Sally walked halfway to school at 5km per hour. She then ran the rest of the way at 8km per hour. If she rode home at a speed of 40km per hour,what was her average speed to and from school.
Thanks

Click here to see answer by greenestamps(13195)

Question 1183855: A concrete mixer needs to know how wide to make a walk around a rectangular fountain that is 10 by 15 feet. She has enough concrete to cover 200 sq. ft. To the nearest tenth of a foot, how wide should the walk be in order to use up all the concrete?
Click here to see answer by ikleyn(52748)

Question 1183902: Solved the following using Venn diagram
A group of 35 students performed in a school program. out of the 35,18 sang,19,danced, and 7 sang and danced
a. How many students sang only?
b. How many Students danced only?
c. How many nether sang nor danced?
Click here to see answer by ikleyn(52748)

Question 1183908: A group of 35 students performed in a school program. Out of the 35, 18 sang, 19 danced, and 7 sang and danced.
a. How many students sang only?
b. how many students danced only?
c. How many neither sang nor danced?
Click here to see answer by ikleyn(52748)

Question 1183901: A group of 35 students performed in a school program. out of the 35,18 sang,19,danced, and 7 sang and danced Venn diagram
Click here to see answer by ikleyn(52748)

Question 1183909: A. Identify which collections are sets. Explain your answer.
1. collection of employees in the Registrar's Office
2. collection of young people in the campus
3. collection of textbooks in Grade 7
4. collection of fruit-bearing trees
5. collection of comfortable footwear
B. Use the roster method and the set-builder notation to write the following sets.
1. The set of counting numbers from 1 to 10
2. The set of vowels in the English alphabet
3. The set of counting numbers divisible by 3 and less than 19
4. The set of factors of 12
5. The set of consonants in the word "ALGEBRA"
6. The set of months in the year that begins with B
7. The set of letters in the word "CALCULATORS"
C. Give the cardinalities of the sets given in Part B.
D. Find all the subsets of the given sets.
1. A = {1}
2. B = {1, 2}
3. C = (1, 2, 3}
4. D= (1, 2, 3, 4)
E. Make a generalization on the number of subsets of a set containing n elements based on your answers obtained in Exercise D.
F. Give examples of two sets A and B where A is a proper subset of B.

Click here to see answer by greenestamps(13195)

Question 1183994: Valentina, Luke, Sally, Han and Mae are to be placed in a line in random order.

What is the probability that they will be arranged from tallest to shortest?
Click here to see answer by Theo(13342)

Question 1184013: How would I calculate amount of energy a 4 watt night light bulb uses ?
Click here to see answer by ikleyn(52748)

Question 1184052: Officials begin to release water from a full man-made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed.
Click here to see answer by ikleyn(52748)

Question 1184129: Determine number of acres in a field if the length is to the width as 7 is to 3. A person is walking at 4 mph for an hr. and 15 min. around the field.
Not sure how to solve.
Click here to see answer by josgarithmetic(39613)

Question 1184204: If M is the set of all square of integers that are less than 100 and N is the set of all positive odd numbers that are under 15,
a) Write the lists of all elements of M and N
b) Find M∩N and M∪N
Click here to see answer by ikleyn(52748)

Question 1184202: The volume of a cone varies jointly as its height, and the square of its radius.
If a cone with a height of 8 centimeters and a radius of 2 centimeters has a
volume of 33.5 cm3, what is the volume of a cone with a height of 6 centimeters and a radius of 4 centimeters?
Click here to see answer by greenestamps(13195)

Question 1184253: Hi
In a castle there is enough food for 72 soldiers to last 24 days. After 4 days another 8 soldiers join them. How many days will the remaining food last.
Thanks

Click here to see answer by Theo(13342)

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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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, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690