Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 1204683: A lottery offers one $800 prize, two $500 prizes, two $400 prizes,
and four $100 prizes. One thousand tickets are sold at each. Find
the expectation if a person buys five tickets. Assume that the
player's ticket is replaced after each draw and that the same
ticket can win more than one prize. Round to two decimal places
for currency problems.

Click here to see answer by ikleyn(52747) About Me 
Question 1204683: A lottery offers one $800 prize, two $500 prizes, two $400 prizes,
and four $100 prizes. One thousand tickets are sold at each. Find
the expectation if a person buys five tickets. Assume that the
player's ticket is replaced after each draw and that the same
ticket can win more than one prize. Round to two decimal places
for currency problems.

Click here to see answer by greenestamps(13195) About Me 
Question 1204683: A lottery offers one $800 prize, two $500 prizes, two $400 prizes,
and four $100 prizes. One thousand tickets are sold at each. Find
the expectation if a person buys five tickets. Assume that the
player's ticket is replaced after each draw and that the same
ticket can win more than one prize. Round to two decimal places
for currency problems.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1204692: Hi
2 cups 2 saucers and a teapot cost $30.20 A cup costs twice as much as a saucer. The teapot cost $7 more than a saucer. What is the cost of the teapot. Thanks.
My son found a solution with fractions. Could I have a second opinion please

Click here to see answer by josgarithmetic(39613) About Me 
Question 1204692: Hi
2 cups 2 saucers and a teapot cost $30.20 A cup costs twice as much as a saucer. The teapot cost $7 more than a saucer. What is the cost of the teapot. Thanks.
My son found a solution with fractions. Could I have a second opinion please

Click here to see answer by math_tutor2020(3816) About Me 
Question 1204692: Hi
2 cups 2 saucers and a teapot cost $30.20 A cup costs twice as much as a saucer. The teapot cost $7 more than a saucer. What is the cost of the teapot. Thanks.
My son found a solution with fractions. Could I have a second opinion please

Click here to see answer by greenestamps(13195) About Me 
Question 1204692: Hi
2 cups 2 saucers and a teapot cost $30.20 A cup costs twice as much as a saucer. The teapot cost $7 more than a saucer. What is the cost of the teapot. Thanks.
My son found a solution with fractions. Could I have a second opinion please

Click here to see answer by ikleyn(52747) About Me 

Question 1204755: an open box is made from a 40-cm by 80-cm piece of tin by cutting a square from each corner and folding up the edges. The area of the resulting base is 2964 cm^2. What is the length of the sides of the squares
Click here to see answer by ikleyn(52747) About Me 

Question 1204785: 2/5 of A's money is equal to 2/3 of B's money, and $48 is the sum of their money. Determine A and B's amount.
2/5 of A's = 2/3 of B's.
1/5 of A's = 1/2 as much as 2/5, and 1/2 of 2/3 = 1/3 of B's.
Not sure how to proceed.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1204785: 2/5 of A's money is equal to 2/3 of B's money, and $48 is the sum of their money. Determine A and B's amount.
2/5 of A's = 2/3 of B's.
1/5 of A's = 1/2 as much as 2/5, and 1/2 of 2/3 = 1/3 of B's.
Not sure how to proceed.

Click here to see answer by greenestamps(13195) About Me 

Question 1204791: Let f'''(t) = -10t - 10 sqrt(t). I found f''(t) = -5t^2 - 20/3t^(3/2) + C but I am struggling to find f'(t) and f(t). I had found an equation for f'(t) = -5/3t^3 - 8/3t^(5/2) + D but the computer says it's not correct.
Click here to see answer by MathLover1(20849) About Me 
Question 1204791: Let f'''(t) = -10t - 10 sqrt(t). I found f''(t) = -5t^2 - 20/3t^(3/2) + C but I am struggling to find f'(t) and f(t). I had found an equation for f'(t) = -5/3t^3 - 8/3t^(5/2) + D but the computer says it's not correct.
Click here to see answer by ikleyn(52747) About Me 
Question 1204791: Let f'''(t) = -10t - 10 sqrt(t). I found f''(t) = -5t^2 - 20/3t^(3/2) + C but I am struggling to find f'(t) and f(t). I had found an equation for f'(t) = -5/3t^3 - 8/3t^(5/2) + D but the computer says it's not correct.
Click here to see answer by math_tutor2020(3816) About Me 

Question 1204798: Hi
There were 2 classes A and B. 3/4 of the students in A and 5/8 in B passed a test. An equal number of students in both classes failed the test. If there was a total of 84 passes,what was the total number of students in both classes.
Thanks


Click here to see answer by math_tutor2020(3816) About Me 
Question 1204798: Hi
There were 2 classes A and B. 3/4 of the students in A and 5/8 in B passed a test. An equal number of students in both classes failed the test. If there was a total of 84 passes,what was the total number of students in both classes.
Thanks


Click here to see answer by mananth(16946) About Me 
Question 1204798: Hi
There were 2 classes A and B. 3/4 of the students in A and 5/8 in B passed a test. An equal number of students in both classes failed the test. If there was a total of 84 passes,what was the total number of students in both classes.
Thanks


Click here to see answer by josgarithmetic(39613) About Me 
Question 1204798: Hi
There were 2 classes A and B. 3/4 of the students in A and 5/8 in B passed a test. An equal number of students in both classes failed the test. If there was a total of 84 passes,what was the total number of students in both classes.
Thanks


Click here to see answer by greenestamps(13195) About Me 

Question 1204870:
Click here to see answer by ikleyn(52747) About Me 

Question 1204871:
Click here to see answer by ikleyn(52747) About Me 

Question 1204911: MathLover1 has a reputation to provide incorrect solutions.
Here is one she posted recently:
https://www.algebra.com/tutors/students/your-answer.mpl?question=1204855
Can a tutor verify that it is, infact, correct?

Click here to see answer by ikleyn(52747) About Me 

Question 1204932: View the following problem:
https://www.algebra.com/tutors/students/your-answer.mpl?question=1204914
MathTutor's solution has an IMAGE embedded in his solution. He's not giving some sort of link. How do they do that??
I know that Algebra.com has this feature where if you type

"%22+and+%22" you can create a formula. But I'm not sure if there's something you put inside the curly braces to add an image.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1204940: Ebb and Flo are pedal boating on the San Antonio River. Going down stream, their speed is 40 m/min. Coming back upstream, their speed is only 26 m/min. How fast do they move through the water? How fast is the current?
Click here to see answer by ikleyn(52747) About Me 

Question 1204939: Ebb and Flo are pedal boating on the San Antonio River. Going down stream, their speed is 40 m/min. Coming back upstream, their speed is only 26 m/min. How fast do they move through the water? How fast is the current?
Click here to see answer by ikleyn(52747) About Me 
Question 1204939: Ebb and Flo are pedal boating on the San Antonio River. Going down stream, their speed is 40 m/min. Coming back upstream, their speed is only 26 m/min. How fast do they move through the water? How fast is the current?
Click here to see answer by greenestamps(13195) About Me 

Question 1204982: carz-4rent charges $32.00 per day plus $0.21 per mile to rent a truck. Mary rented a truck for 7 days from carz-4 rent and drove it 750 miles. what was the total charge for mary to rent the truck
Click here to see answer by ikleyn(52747) About Me 

Question 1204999: Hi
Ali and baby have some great sweets. If ali gives baba 3/8 of his sweets the ratio of ali to babas sweets is 1 to 2. What is the ratio of ali to babas sweets at first.
Thanks



Click here to see answer by mananth(16946) About Me 
Question 1204999: Hi
Ali and baby have some great sweets. If ali gives baba 3/8 of his sweets the ratio of ali to babas sweets is 1 to 2. What is the ratio of ali to babas sweets at first.
Thanks



Click here to see answer by josgarithmetic(39613) About Me 
Question 1204999: Hi
Ali and baby have some great sweets. If ali gives baba 3/8 of his sweets the ratio of ali to babas sweets is 1 to 2. What is the ratio of ali to babas sweets at first.
Thanks



Click here to see answer by math_tutor2020(3816) About Me 
Question 1204999: Hi
Ali and baby have some great sweets. If ali gives baba 3/8 of his sweets the ratio of ali to babas sweets is 1 to 2. What is the ratio of ali to babas sweets at first.
Thanks



Click here to see answer by greenestamps(13195) About Me 

Question 1205027: Hi
Mary and Gary had some stickers in the ratio of 5 to 3 respectively. After mary had given 1/3 of her stickers to Gary the new ratio of Gary to Mary became 7 to 5. If Gary had 32 more stickers than Mary what was the combined total.
Thanks

Click here to see answer by greenestamps(13195) About Me 

Question 1205061:
Click here to see answer by ikleyn(52747) About Me 

Question 1205074: A spherical piece of steel is 1/8" in diameter.
1). Determine volume.
2). Determine how many could be produced from 1 cu. in. of the material.

Check my calculations, please.

Sphere volume: 4/3 * pi * r^3
1.333 * 3.1416 * .0625^3
= .01021 cu. in. 1).
1 / .01021 = 97.84 = 98 2).

Click here to see answer by ikleyn(52747) About Me 
Question 1205074: A spherical piece of steel is 1/8" in diameter.
1). Determine volume.
2). Determine how many could be produced from 1 cu. in. of the material.

Check my calculations, please.

Sphere volume: 4/3 * pi * r^3
1.333 * 3.1416 * .0625^3
= .01021 cu. in. 1).
1 / .01021 = 97.84 = 98 2).

Click here to see answer by math_tutor2020(3816) About Me 

Question 1205083: A pipe has inside diameter of 1 inch and water is flowing at 100 ft. per min. Determine amount of water discharged in an hr.
Please check my calculations.
Pipe is a cylinder.
Volume: Pi * radius^2 * height.
3.1416 * .5^2 * 100 * 60 = 6000 ft. (6000 ft. = 72000 in.)
3.1416 * .25 * 56548.8 = 56549 cu. in.
56549 / 231 = 244.80 = 245 gal.

Click here to see answer by ikleyn(52747) About Me 

Question 1205091: Hi
Sue wanted to cut a piece of ribbon into 2 smaller pieces. At first wanted the first piece to be 210cm . The she changed her mind and reduced it by 20cm. This would increase the length of the second piece by 8 %. What was the total length of the whole ribbon before she cut it.
Thanks

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1205091: Hi
Sue wanted to cut a piece of ribbon into 2 smaller pieces. At first wanted the first piece to be 210cm . The she changed her mind and reduced it by 20cm. This would increase the length of the second piece by 8 %. What was the total length of the whole ribbon before she cut it.
Thanks

Click here to see answer by math_tutor2020(3816) About Me 

Question 1205108: Hi
20% of the toys in a store are dolls. There are 286 more cars than dolls. The remaining 650 items are balls. How many toys are in the store.
Thanks

Click here to see answer by ikleyn(52747) About Me 

Question 1205152: Square ABCD is inscribed in a circle. Find the ratio of the area of the square to the area of the circle.
Click here to see answer by MathLover1(20849) About Me 

Question 1205153: Hi
a ball drops from a height of 100m. Each time it hits the ground it bounces 60% of the height it fell. How far will it travel by the 4th bounce.
Thanks

Click here to see answer by MathLover1(20849) About Me 

Question 1205148: Hi
A ball drops from a height of 100m. each time it hits the ground, it bounces 60% of the height it fell. How far will the ball travel by the 4th bounce.
Thanks

Click here to see answer by MathLover1(20849) About Me 
Question 1205148: Hi
A ball drops from a height of 100m. each time it hits the ground, it bounces 60% of the height it fell. How far will the ball travel by the 4th bounce.
Thanks

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1205156: A piece of copper is described below:
4 in. in length.
2 in. wide.
.5 in. thick.
The piece is formed into a wire of uniform thickness and 100 yds. in length.
Determine wire diameter.
Not sure how to solve.



Click here to see answer by MathLover1(20849) About Me 
Question 1205156: A piece of copper is described below:
4 in. in length.
2 in. wide.
.5 in. thick.
The piece is formed into a wire of uniform thickness and 100 yds. in length.
Determine wire diameter.
Not sure how to solve.



Click here to see answer by math_tutor2020(3816) About Me 
Question 1205156: A piece of copper is described below:
4 in. in length.
2 in. wide.
.5 in. thick.
The piece is formed into a wire of uniform thickness and 100 yds. in length.
Determine wire diameter.
Not sure how to solve.



Click here to see answer by Edwin McCravy(20054) About Me 

Question 1205185: Hi
Ted and Justina took part in a race. Ted won the race 25 minutes after it started. Justina had only run 5/8 of the distance. Justinas average speed was 75 m per minute slower than Ted. What was Ted's average speed in the race
Thanks

Click here to see answer by math_tutor2020(3816) 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, 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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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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, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690