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

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Question 70253: Bobby and Ricky are in a 10 lap race on a 1-mile oval track. Bobby averaging 90mph, has completed 2 laps just as Ricky gets his car on the track. What speed does rick have to average to be even with Bobby at the end of the 10th lap.
Click here to see answer by ankor@dixie-net.com(15746)

Question 70359: describe the motion neeeded to make a graph if it is a distance verses time graph.
Click here to see answer by funmath(2925)

Question 70623: One number is 6 more than another. If the sum of the smaller number and 3times the larger number is 34, find the two numbers. show your work
Click here to see answer by jim_thompson5910(28715)

Question 70591: Mrs.Newman had 5 children; 3 girls named Karen, Lisa and Amy and 2 boys named Jack and Mark. She was buying valentine chocolate hearts for the children to give to each other. She decided that she would buy fed heatrs for the girls to give to the boys, blue hearts for the girls to giv to the girls, green for the boys to give to the boys, and yellow hearts for the boy to give to the girls.
How many chocolate hearts of each color did Mrs.Newman need to buy?
Click here to see answer by 303795(595)

Question 70716: Ttiangle ABC has sides of length 6cm, 8cm, and 12cm. Triangle EFG is similar to triangle ABC, which means the sides of the two triangles are proportional. The shortest side of triangle EFG is 9cm in length. What is the perimeter of triangle EFG?
Click here to see answer by stanbon(57966)

Question 70720: Twenty foxes are captured in a forest, tagged, then released. Several weeks later, 20 foxes are captured in the same forend 8 are found to have tags.Use this information to estimate how many foxes are in the forest.
Click here to see answer by stanbon(57966)

Question 70784: The faces of a weighted cube are numbered 1,2,3,4,5, and 6, with one digit per face. When tossed, the cube is twice as likely to land with an even digit showing on its top face as an odd. Each odd number is as likely to appear as any other odd number, and each even number is as likely as any other even number. what is the probability that the cube, when tossed, shows a 5 on its top face? Express your answer as a common fraction.
Click here to see answer by Nate(3500)

Question 70782: Please help me with this problem:
If the numerator of a fraction is randomly selected from the set {1,3,5,7,9} and the denominator is randomly selected from the set {1,2,3,4,5}, what is the probability that the decimal representation of the fraction is a terminating decimal? Express your answer as a common fraction.
Click here to see answer by Nate(3500)

Question 70868: A golf hole is exactly in the middle of a circular green. If the distance from the center of the hole to the edge of the green is 25 feet, what is the area of the green?
Click here to see answer by checkley75(3666)

Question 70874: In 1943, during world war II, copper was needed for the war effort, so pennies were made of lead. A lead penny had a diameter of 1.8 cm and a thickness of 0.1 cm. If lead has a mass of 11.4 grams per cm^3, what was the mass of a lead penny?

Click here to see answer by ankor@dixie-net.com(15746)

Question 70961: Lake Superior is about 4 times the area of Lake Ontario.Lake Superior is 30,172mi^2.
Click here to see answer by mathman409(67)

Question 71015: There are 2 copy machines. One can do a printing job in 75 minutes. If both machines print at the same time they can do the printing job in 50 minutes. How long will it take the other machine to do the printing job by itself.
Click here to see answer by ptaylor(2052)

Question 71130: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were castmin all, how many votes did each candidate receive?
Click here to see answer by ptaylor(2052)

Question 71122: Billy is putting together alian toys called Zergs and Borgs for a display. He has a box of alien toy body parts that contain 45 heads and 55 feet.Each Zerg must have 1 head and 3 feet. Each Borg must have 4 heads and 2 feet. How many Zergs and how many Borgs can he make if he must use all the heads and feet in the box?
Click here to see answer by 303795(595)

Question 71134: I am not sure how to set this up so I can solve it. Your help is greatly appreciated.
62. a 60 ft by 80 ft parking lot is torn up to install a sidewalk of uniform width around it's perimeters. The new area of the parking lot is 2/3 of the old area. How wide is the sidewalk?
Click here to see answer by ptaylor(2052)

Question 71050: Suppose a manufacture invented a computer chip in 1978 that had a computational speed of s. The company improves its chips so that every 3 years, the chip doubles in speed. What would the chip's speed have been for the year 2002? Wrute your solution in terms of s.
Click here to see answer by ankor@dixie-net.com(15746)

Question 70984: problem#10
simplify each complex fraction
(w+3)/(4w) divided by (w-3)/(2w)
Problem #28
fungicides account for (1)/(10) of the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written (1)/(10) divided by (1)/(4). Write this ratio in simplest form.
Problem #32
The combined resistence of two resistors R1 and R2 in a parallel circuit is given by the formula
Rt= (1)divided by (1)/(r1)+ (1)/(r2)
simplify the formula.
Click here to see answer by ankor@dixie-net.com(15746)

Question 71175: a small pully with a 6-inch diameter turns at 350 rpm. The small pulley drives a larger pulley which turns at 150 rpm. What is the diameter of the larger pulley?

Use a ratio. You know the larger pulley is going to have a larger diameter than 6.
150/6=350/x.
150x=2100
2100/150=14
x=14 inches
Click here to see answer by galactus(183)

Question 71256: If the first term is 12 and the ratio is 4, what is the second term?
Click here to see answer by sudhir(14)

Question 71262: Happy Hector and Party Paul are each having a catered party at Fun Factory. Hector’s party is in the hall and Paul’s party is on the Patio. The catering manager of Fun Factory explained the rules to Hector and Paul. Both Hector’s party in the Hall and Paul’s party on the Patio must have the same size table, that is, for example, table size for 2,3,4,5,6,7,8,9, etc. The manager will only order one size table for both parties.He will order the largest size table possible. Everyone at each party must have a seat and no seats can be empty at any table. Hector will have a total of 180 people. Paul is expecting a total of 84 people. What is the largest-sized table the manager needs to order for both Hector and Paul?

Click here to see answer by sudhir(14)

Question 71271: Solve each problem by writing an equation.
1.) A company sells 375 scissors for 562.50. Expenses total 395.75.How much profit is made from each pair of scissors?
Click here to see answer by checkley75(3666)

Question 71270: Solve each promblem by writing an equation.
1.) A phone company charges $0.20 for the first 15 minutes and $0.07 minute after that. How long was a phone call that cost $1.95?
Thank you
Click here to see answer by checkley75(3666)

Question 71390: Two children on a seesaw that is 1o ft long. One child weighs 65 lb. The other child weighs 80lb. How far from the eighty-pound child should the fulcrum of the seesaw be placed so the seesaw balances?
Click here to see answer by stanbon(57966)

Question 71399: One hundred liters of a solution was available, but the solution was 65% alcohol. Barry needed a solution which was 50% alcohol. How many liters of alcohol had to be extracted so that the solution would be 50% alcohol?
Click here to see answer by bucky(2189)

Question 71313: The distance from first to second base in indoor baseball is 33ft less than the corresponding distance in softball. The square bounded by the bases of an indoor baseball diamond is 2871 square feet less in area than that bounded by the bases of a softball diamond. Find the distance from one base to the other in indoor baseball.
Click here to see answer by ankor@dixie-net.com(15746)

Question 71573: The combined resistance of two resistors in a parallel circuit is given by the formula

RT=1/(1/R1+1/R2)

Simplify the formula.

Click here to see answer by checkley75(3666)

Question 71572: A plane flies 720 mi against a steady 30 mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane’s speed in still air?
Click here to see answer by checkley75(3666)

Question 71564: Science and medicine. The combined resistance of two resistors R1 and R2 in a
parallel circuit is given by the formula
Simplify the formula

Click here to see answer by mathman409(67)

Question 71709: Solve the following application.
Science and medicine. A chemist has 300 milliliters (mL) of solution that is 18% acid. How many milliliters of acid are in the solution?
This is what I came up with. Is it right?
300÷18%=54
54 milliliters (mL) of acid

Click here to see answer by checkley75(3666)

Question 71776: On an achievement test, ninth graders averaged 93% and eigth graders averaged 75%. A total of 90 students took the test and averaged 87%. How many ninth graders took the test?
Click here to see answer by checkley75(3666)

Question 71867: Solve the following application and show your work.
Business and finance. Ms. Jordan has been given a loan of $2500 for 1 year. If the interest charged is $275, what is the interest rate on the loan?

Click here to see answer by tutorcecilia(2152)

Question 71899: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
Click here to see answer by psbhowmick(529)

Question 71898: Adult tickets for a play cost $20 and child tickets cost $8. If there were 33 people at a performance and the theater collected $468 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by psbhowmick(529)

Question 71822: Adult tickets for a play cost $20 and child tickets cost $8. If there were 33 people at a performance and the theater collected $468 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by jim_thompson5910(28715)

Question 71877: A small firm produces both AM and AM/FM car radios. The AM radio take 15h to produce, and the AM/FM radios take 20h. The number of production hours is limited to 300h per week. The plant's capacity is limited to a tool of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.
Click here to see answer by ankor@dixie-net.com(15746)

Question 71823: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
Click here to see answer by ankor@dixie-net.com(15746)

Question 71962: The difference of the two numbers is 11. The second is 8 less than 2 times the first. What are the two numbers?
Click here to see answer by stanbon(57966)

Question 72058: Andre sells furniture. Two different chairs go with a dining set, a chair with arms or a chair without. One armchair and one chair without arms sell together for $184. One day he sold 5 armchairs and 17 chairs without arms for a total of $1868. How much does each chair sell for?
Click here to see answer by stanbon(57966)

Question 72162: The ratio of jellybeans to gummy bears in a bag of candy is 7 to 2. If there are 459 pieces of candy in the bag, how many jellybeans are there?
Click here to see answer by stanbon(57966)

Question 72161: To fill up their swimming pool, the Johnsons decided to use both their high volume hose and their neighbor's regular garden hose. If they had used only their hose, it would have taken them 12 hours to fill the pool, but using both hoses it took them only 7 hours. How long would it have taken them to fill the pool using only their neighbor's hose?
Click here to see answer by josmiceli(9817)

Question 72173: The accuracy of a car's speedometer varies directly with the actual speed of the car. A car's speedometer reads 24 miles per hour when the car is actually traveling at 32 miles per hour. When the speedometer reads 51 miles oer hour, how fast is the car actually going?
Click here to see answer by ankor@dixie-net.com(15746)

Question 72309: theater tickets are Adult - 7.25, student - 3.50, and child under 4 - 1.75. If family needs to purchase 2 adult, 3 student, and 1 child, what will be total cost? Needs to be evalutated in the form of an expression.
Click here to see answer by checkley75(3666)

Question 72392: I submitted this problem quite a few days ago and did not get a response. I am resubmitting in hopes to get some help.
Solve the following application.
Business and finance. Ms. Jordan has been given a loan of $2500 for 1 year. If the interest charged is $275, what is the interest rate on the loan?
This is what I have so far.
loan=$2500
interest=$275
interest rate=x
Click here to see answer by stanbon(57966)

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