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

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Question 1092401: A collection of 30 coins worth $t.85 consists of nickels, dimes and quarters. There are half as many dimes as nickels. How many cuarters are there?
Click here to see answer by Alan3354(69443)

Question 1092448: At highway speeds, a particular automobile is capable of an acceleration of about 1.6 m/s2. At this rate, how long does it take to accelerate from 80 km/h to 112 km/h?

s
Click here to see answer by ikleyn(52750)

Question 1092449: A horse canters away from its trainer in a straight line, moving 120 m away in 15.0 s. It then turns abruptly and gallops halfway back in 4.8 s.
(a) Calculate its average speed.
m/s
(b) Calculate its average velocity for the entire trip, using "away from the trainer" as the positive direction.

m/s
Click here to see answer by Theo(13342)

Question 1092416: An investment club used funds totaling $300,000 to invest in a bio-tech company and in an ethanol plant, with hopes of earning 12% and 15% annual simple interest, respectively. Their hunch paid off. The club made a total of $38,400 interest the first year. How much was invested at each rate?
Click here to see answer by josmiceli(19441)

Question 1092489: And observation study was carried out of supermarket.out of these surveyed,140 had bought a scone,and 100 had bought a bar,10 had bought a bar and a scone,and 30 had bought neither a bar nor scone
Click here to see answer by ikleyn(52750)

Question 1092493: The width of a rectangle is 12 units less than its length. If you add 30 units to both the length and the width, you double the perimeter. Find the width and the length of the original rectangle.
Click here to see answer by josgarithmetic(39613)

Question 1092492: San Francisco and Los Angeles are 470 miles apart by train. An express train leaves L.A. at the same time as a passenger train leaves San Francisco. The express train travels 10 mph faster then the passenger train. The 2 trains pass by each other (meet) in 2.5 hours. How fast is each train traveling?
Click here to see answer by josgarithmetic(39613)

Question 1092494: A tank at a marine exhibit contains 8000 liters of sea water. The sea water is 7.5% salt. How many liters of fresh water must be added to the tank so that the mixture�s concentration is reduced to 7% salt?
Click here to see answer by ikleyn(52750)

Question 1092443: Determine the stopping distances for a car with an initial speed of 93 km/h and human reaction time of 3.0 s for the following accelerations.
(a) a = -4.0 m/s^2
(b) a = -8.0 m/s^2
Click here to see answer by KMST(5328)

Question 1092521: During RAGBRAI 2012, there was large hill going into Cherokee. My bike reached a speed of 36 miles per hour. My bike tires have a radius of 14 inches. If I maintained this speed for 30 seconds, how many revolutions did my bike tire make?

Click here to see answer by ankor@dixie-net.com(22740)

Question 1092545: The onlookers gazed in excitement as the number of gremlins decreased exponentially. When they were first observed, there were 48, but in only 50 minutes they had decreased to 42. How long would it take before the gremlins decreased to 25?
Click here to see answer by jorel1380(3719)

Question 1092574: US interstate highway's post numbered markers every mile to indicate location in case of an accident or breakdown in many states The numbers increase from west to east the sum of two consecutive mile markers on I 80 in Iowa is 459 how do I find the numbers on the markers
Click here to see answer by addingup(3677)

Question 1092621: The batting average of a baseball player is (0.25). If he has been to the plate 140 times, how many consecutive hits does he need to reach an average of at least (0.275)?
Click here to see answer by jorel1380(3719)

Question 1092626: The sum of two numbers is 80. Twice one number is 4 more than four times the other. Find the numbers.
Click here to see answer by jorel1380(3719)

Question 1092628: A rock is thrown upward with a velocity of 12 meters per second from the top of a 25 meter high cliff, and it misses the cliff on the way back down. When will the rock be 33 meters from the water, below? Round your answer to two decimal places.
Click here to see answer by jorel1380(3719)

Question 1092552: The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet?
Click here to see answer by jorel1380(3719)

Question 1092653: During the summer,you work 5 hours a day as a lifeguard at a beach and earn $8 each hour. Use properties of multiplication to find how much money you can earn during a 6-day work week.

Click here to see answer by addingup(3677)

Question 1092714: Mary Paid sh 22800 for a tax from the Airport to the hotel. The tax driver charged sh 1200 for the first kilometre and sh800 for each kilometre thereafter.How many kilometres is it from the airport to the hotel?
Click here to see answer by ikleyn(52750)

Question 1092768: The population of a certain geographic region is approximately 133 million and grows continuously at a relative growth rate of 1.59%. What will the population be in 6 years? Compute the answer to three significant digits.
Click here to see answer by Boreal(15235)

Question 644405: Jesse starts the month with $20 on his transit card. If his round trip fare
each day is $3.50, how many days can he use the card before he needs to
put more money to cover another trip? Make a graph to show the amount
of money on Jesse�s card for each day of the month until he runs out.
What is the y-intercept and what is the slope of the graph?
Click here to see answer by Joey1234(1)

Question 1092792: A holiday toy drive is putting together baskets for children. There are 84 toys and 56 books. If each basket will receive the same number of toys and books, then how many baskets can be made?

Click here to see answer by ankor@dixie-net.com(22740)

Question 1092871: Problem 3: Can you determine if the following two triangles are congruent? If so, state which postulate you used.
Triangles shown: https://imgur.com/kRritQg
Click here to see answer by ikleyn(52750)

Question 1092986: Marissa and Kendra are 2 years apart in age. Their ages are two consecutive even integers. Kendra is the younger of the two. If Marissa's age is added to twice Kendra's age, the result is 20. How old is each girl?
Click here to see answer by josgarithmetic(39613)

Question 1092996: Maggie has a job working in an office for $10 an hour and another job driving a tractor for
$12 an hour. One week she works in the office twice as long as she drives the tractor. Her total income for that week is $416. How many hours did she spend at each job?
Click here to see answer by ikleyn(52750)

Question 1093008: (Please help)
Find as many congruent triangles as possible. State a congruence statement for each congruent set and include the congruence postulate.

The Triangle shown: https://imgur.com/BoboZ8S
Click here to see answer by ikleyn(52750)

Question 1092958: Problem 4: Find as many congruent triangles as possible. State a congruence statement for each congruent set and include the congruence postulate.

The Triangle shown: https://imgur.com/BoboZ8S
Click here to see answer by ikleyn(52750)

Question 1093042: If 2 miles of fence enclose a square plot of 160 acres, how large a square will 4 miles of fence enclose
Click here to see answer by KMST(5328)

Question 1093126: A rock is tossed straight up with initial velocity of 10 feet per second from atop a balcony 30 ft above the ground. The height of the rock is given by the equation h(t) = -16t^2 + 10t + 30 at a time t seconds after the rock was tossed. How many seconds pass before the rock is 20 feet above ground?
Click here to see answer by josmiceli(19441)

Question 1093189: Problem 2: Given ABCD is a parallelogram, what value must x & y have?

(picture of the problem) https://imgur.com/Zr7GLjL
Click here to see answer by Boreal(15235)

Question 1093212: It takes 10 electricians 6 hours to wire a small house, how many electricians working at the
same rate are needed to wire this house in 4 hours?
Click here to see answer by richwmiller(17219)

Question 1093238: Rene and Britta had $500 to buy Buffalo Boys tickets. Goodey Tickets Inc. was selling T tickets for D dollars. Since they arrived at the box office at 6 A.M. they got a discount of X dollars for each ticket. How many Buffalo Boys tickets could they buy?
--I got = amount of tickets they could purchase as my answer. I would appreciate if someone could check this for me? Thanks!
Click here to see answer by Alan3354(69443)

Question 1093240: Find the sum of this infinite geometric series:
--This is new to me. What is involved in solving this type of problem? Any directions/tips are appreciated :)
Click here to see answer by josgarithmetic(39613)

Question 1093256: It is estimated that t years from now, the population of a certain suburban community will be
P(t) = 21 − (6/(t+1))thousand people.
(a) What will the population of the community be seven years from now?

20,250 people
(b) By how much will the population increase during the seventh year? (Round your answer to the nearest integer.)
? people

Click here to see answer by josmiceli(19441)

Question 1093309: Katie invested a total of $6000 part at 2% simple interests and a part at 3% simple interest s. At the end of 1 year, the investments had earned $152 interest. How much was invested at each rate?
Click here to see answer by Boreal(15235)

Question 1093267: Yolanda earns extra cash ny baby sitting she charges a $7 up front fee and then $10 per hour

Click here to see answer by addingup(3677)

Question 1093331: How many millilitres of water must be added to 240 milliliters of a 25% sulphuric acid solution to reduce the percentage of sulphuric acid in the new solution to 10%?

Click here to see answer by ikleyn(52750)

Question 1093330: How many liters containing 8% acid solution should be added to 20 liters containing 60% acid in order to obtain a 40% acid solution?

Click here to see answer by Alan3354(69443)

Question 1093364: Sam invests the earnings of $3000 from her full-time job. She invests part of the money at 5%/year, and the rest at 4%/year. After one year, these investments earn $140 simple interest. How much did she invest at each rate?

Click here to see answer by richwmiller(17219)

Question 1093377: You scored 7 points higher on your mid-terms than your prelims and 11 points higher on your finals than on your prelims. What score did you get in your prelim exam if your average score for the three exams was 85?
Click here to see answer by richwmiller(17219)

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