Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 186527: 6. A bag of colored marbles holds 75 blue marbles, 44 red marbles and 21 white marbles.
a. What is the probability that in selecting one marble and then a second marble without replacing the first marble that both marbles will be red?
b. Four marbles are selected, one at a time, without replacement. What is the probability that the first marble will be red, the second will be white, the third marble will be red and the last marble will be blue?

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Question 186531: A family has 6 children. Determine the probability that there are fewer than 3 male children in the family.
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Question 188311: the length of fence required to enclose a rectangular field is 300 meters. What are the dimensions of the field if it is known that hte difference between its lenght and width is 50 meters
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Question 188761: Jess and Jillian went to the St. Anthony’s feast together. The admission fee is $5.00. At the feast there are 15 different types of rides to go on and to go on a ride you need to have tickets. The cost for one ticket is $2.00. Jess went on all 15 rides and Jillian went on all 15 rides and went on three rides twice. How much money did they pay altogether since they entered the Feast?
Click here to see answer by stanbon(57342)

Question 189629: Find three consecutive integers such that the square of the sum of the smaller two is 144 more than the square of the largest.
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Question 189708: Help please, using substition i keep coming up with equal answers on each side of the equation and I am stuck. I can't figure out what I am missing. Thanks.
This question is on a chapter review and is similar to question 34/35 on page 380 of Algebra 1 (ISBN 0-07-869680-1).
Mike makes $500 per month plus a commission of 3% of the total sales he makes. Zach makes $700 per month plus a commission of 2.5% of the total sales he makes. What is the total sales each must make to have the same salary? How much will eash person's salary be at that time?
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Question 189631: The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet less than twice the length of the longer leg. How long is the shorter leg?
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Question 189639: Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 18 miles, the distance between the cars was 6 miles more than the distance traveled by the car heading east. How far had the eastboud car traveled?
Click here to see answer by josmiceli(9676)

Question 189628: The product of two consecutive positive even integers is 142 more than their sum. Which of these is one of the integers?
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Question 189626: If the length of a rectangle is 2 km longer than twice the width, then what is the length if the area is 60 square kilometer?
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Question 189638: The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet less than twice the length of the longer leg. How long is the shorter leg?
Click here to see answer by jojo14344(1512)

Question 190133: In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worket t hours after starting work could be modeled by the formula
N(t)= -3t^3 + 23r^2 + 8t
a. Rewrite the formula by factoring the right-hand side completely.
b. Use the factored version of the formula to find N(3).

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Question 190390: john walked a total distance of 1450 meters in two days. if he walked 370 meters futher on the second day than on the first day, how far did he walk on each day?
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Question 190677: lisa and berverly had just $5 to spend for an after school snack. they could have bought 2 hamburgers and 1 carton of milk with no change back. or 1 hamburger and 2 cartons of milk with 40 cent change back. how much does a carton of milk cost
Click here to see answer by stanbon(57342)

Question 191550: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 8 ft less then the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 4 ft less then the length of the ladder?
Click here to see answer by RAY100(1637)

Question 191735: When is it appropiate to use the two variable method of a word problem?
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Question 192725: One angle of an isosceles triangle has measure 150*. If the area of the triangle is 9 cm ^2, what is the perimeter to three significant digits?
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Question 193393: ``Before, solving the problem, I just want to give you the heads up. It's
Systems of Equation: Application. I can't find the specific title to relate
with my story problems. My chapter in the book is Chapter Eight, Solving Systems by Substiution, Additional. Hope it helps!
*The Perimeter of a rectangle is 42 inches. If the length is doubled and the width is tripled, the perimeter becomes 102 inches. Find the length and width of the original rectangle.*

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Question 193750: what value of y makes the two expressions equal 5y-8 3y+5
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Question 196155: What are the values of m such that 4x2 - 4mx + 4m - 3 is perfect square trinomial?
a.) -1, -3
b.) 1,-3
c.) 1,3
d. -1, 3
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Question 196546: How to solve question: one angle of a quadrilateral has measure a degrees. Find the average of the measures of the other three angles.
Click here to see answer by edjones(7569)

Question 197190: hey can you help me?? the question is... 2cars are approaching each other at 40km/h. when they are 1 km apart. a fly flies at 10m/s between the cars(assume it flies at the constant speed always) and touches each car on it trip. How far does the fly fly when the cars crash?
Click here to see answer by ankor@dixie-net.com(15650)

Question 197189: hey, could you please solve this as soon as possible urgentquestion!!! the question is If 2dozen eggs and 3kg of butter cost$23.60. If the dozen eggs increase in cost by 25% and the !kg of butter decrease in price by 12.5%. Find the cost of ! dozen eggs and !kg of butter.
thanks so much for the help
Click here to see answer by ankor@dixie-net.com(15650)

Question 198164: A Jewelery Box has a lenght that is 2 inches longer than the width and a height that is 1 inch smaller than the width. It has a volume of 140 cubic inches. What is the width?
Please please help. I appreciate it!
Thank you very much
Click here to see answer by josmiceli(9676)

Question 198168: A bacteria population starts at 2032 and decrease by 15% everyday.
Write a function representing the number of bacteria present each day.
After how many days will there be fewer than 321 bacteria?
I need some help on this problem please.
Thank you in advance.
Click here to see answer by ankor@dixie-net.com(15650)

Question 198175: a chemist has 2 alloys, one of which is 10%gold and 15% lead and the other is 30%gold and 40% lead. how many grams of the 2 alloys should be used to make an alloy that contains 60g of gold and 88 g of lead.
This is from a pactive worksheet not a text book
I tried 25X +70%y=148 as one euqation but not sure of the other equation to substitute x for
thanks
Click here to see answer by scott8148(6628)

Question 198996: There are 24 questions on a test. Each question is worth either 4 points or 5 points. The total is 100 points.
a. Write a system of equations to find the number of each type of question.
b. Solve the system by subtitution.
c. How many questions of each type are on the test?
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Question 199920: Ticket to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets or $52.75. How many adult tickets and student tickets were purchased?
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Question 199928: The length of a rectangle is 5 cm more than the width. The area of the rectangle is 36 square cm. What is the length?
Click here to see answer by nerdybill(6958)

Question 199921: Graph each system of equations. Determine whether the system has no solutions, one solutions, or infinitely many solutions. If the system has one solutions, name it.
3x - y = -2
3y - y = 0
Click here to see answer by Alan3354(30993)

Question 200627: Solve by the substitution method
7m+n=27
m-8n=69
Click here to see answer by jim_thompson5910(28595)

Question 200627: Solve by the substitution method
7m+n=27
m-8n=69
Click here to see answer by RAY100(1637)

Question 200882: The safe maximum speed in knots (nautical miles per hour) of a sailboat is given by the formula: where ‘S’ is the speed in knots and ‘l’ denotes the length of the waterline in feet. If the waterline length is 20 feet, what is the maximum safe speed of a sailboat?
Click here to see answer by ankor@dixie-net.com(15650)

Question 201491: an astronaut on the earth practices jumping to the ground from the spaceship resting 3 meters above the ground. the initial upward velocity of the jump is 4 m/sec.
a. when will the astronaut be back at the same level s the jump?
b. at what time is the highest point reached?how high above the ground is that?
c.when does the astronaut reach the ground?
Click here to see answer by Alan3354(30993)

Question 202057: 1. A store mixes Barzilian coffee worth $12 per kilogram and Turkish coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find how much of each should be used to make a 120-kilogram mixture.
Kilograms of Brazilian coffee= ?
Kilograms of Turkish coffee= ?
2.Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 11% protein?
Lbs of Cornmeal in the mixture= ?
Lbs of Soybean meal in the mixture= ?
Click here to see answer by Earlsdon(6287)

Question 203307: A ferry service transporting passengers to an island charges a fare of $10 and carries 300 persons. The manager estimates that the company will lose 15 passengers for each increase in fare of $1. Find the fare that yields the greatest income.
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Question 203920: Translate each of the following word problems into a proportion. Do not solve.
If 10 cans of green beans costs $3.60, then what will 4 cans cost?

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Question 203918: Translate each of the following word problems into a proportion. Do not solve.
If 10 cans of green beans costs $3.60, then what will 4 cans cost?

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Question 204281: lisa and amie are painting a room. if lisa has painted 1/6 of the room and amie has painted 1/4 of the room , what fraction of the room remains to be painted ?
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Question 204315: the sum of two numbers is 181. three times the larger number plus twice the smaller number is 459. find the number
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Question 204967: I would like for you to help me with this problem:
The Everton college store paid $1768 for an order of 47 calculators. the store paid $8 for each scientific calculator. The others, all graphing calculators cost the store $56 each. How many of each type of calculator was ordered?
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Question 206166: The length of each side of an equilateral triangle is 28 centimeter. Find he altitude of the triangle. Round you answer to he nearest tenth of a centimeter.
Click here to see answer by rfer(12657)

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