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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 380080: Dr. Math was numbering the pages of her scrapbook with consecutive positive integers, 1,2,3,..., in decimal notation. When she wrote a page number with three digits, shed wrote the hundreds digit first,then the tens digit, and finally the units. She was interrupted after writing the 1832nd digit. When Dr. Math continues, what digit should she write next ?
Click here to see answer by richard1234(7193)

Question 380158: Gerald and John agreed to start from the same point and go in opposite directions every morning for a jog. If Gerald runs at a speed of 3km/hr ans John has a speed of 4km/hr,in how many hrs. will they be 14 km apart?
Click here to see answer by mananth(16946)

Question 380159: Two cars 240 km apart started at the same time and traveled toward each other at the rates of 60 kph and 45 kph. In how many hrs. will they meet?
Click here to see answer by mananth(16946)

Question 380160: A passenger bus traveling at the rate of 70km/hr leaves the station 2 hrs. after a cargo truck left and overtakes it in 5 hrs. What is the rate of the cargo truck?
Click here to see answer by mananth(16946)

Question 380163: Every morning, Don Miguel exercises by walking a certain distance at an average of 4 kph, rests for 20 min. and rides back along the same road on his chauffer-driven limousine at an average speed of 60 kph. If the total time of travel is one hr. and 15 min. how far does he walk?
Click here to see answer by mananth(16946)

Question 380033:
A worker has readings that take 2 minutes each to read and record. How many readings can be completed in 192 minutes?

Click here to see answer by rfadrogane(214)

Question 380166: Two cars 240 km apart traveled toward each other at the same time. If the first car's speed is 55 kph and the other is 65 kph, how long would it take them to meet?
Click here to see answer by mananth(16946)

Question 380161: A boy went out into the barangay on his bike at 5kph. He rested two hrs. and returned home along the same road at the rate of 3 kph. If he was gone for 6 hrs, how far was the barangay from his home?
Click here to see answer by mananth(16946)

Question 380218: The sum of a complement of an angle and the supplement of the same angle is thirteen times the size of the original angle. Find the size of th original angle?
Can anybody help me out with this one?
Click here to see answer by ewatrrr(24785)

Question 380248: Midtown Antiques collects 6% sales tax on all sales. If total sales including tax are $2300.14, find the portion that is sales tax. Round to the nearest cent.
Click here to see answer by stanbon(75887)

Question 380328: A worker has readings that take 2 2/3 minutes each to read and record. How many readings can be completed in 192 minutes?

Click here to see answer by stanbon(75887)

Question 380327: Name two integers whose product is -18 and whose difference between the greatest and least number is 9.

We know the factors, but have none that are "9" when taking the difference between them. Can you help us with this please so that we can understand what we are doing wrong and so that we can do it correctly in the future!
Much appreciation -
Sam
Click here to see answer by stanbon(75887)

Question 380322: Sarah has a collection of marbles. She notices that if she borrows 8 marbles from a friend, then she can arrange the marbles in rows of 15 each. What is the remainder when she divides her original number of marbles by 15?

Click here to see answer by stanbon(75887)

Question 380164: Mary starts jogging from her home to the park at the speed of 4kph. Half an hr later, Fred follows running at a speed of 9 kph. How long before Fred overtakes Mary?
Click here to see answer by ankor@dixie-net.com(22740)

Question 380289: Mrs. Ballo's second grade class of 30 conducted a survey of pet ownership and found: 8 students owned a cat, 15 owned a dog and 5 owned both. How many of the students owned no dogs?
The answer I found of 8 was incorrect and not sure how to go about this.
Click here to see answer by kingme18(98)

Question 380423: Predict the population of bacteria for the given situation and time period.
situation: 225 bacteria that triple every hour
time period: 1 hour

Click here to see answer by Jk22(389)

Question 380430: The population of Midville, in thousands of people, is given by P(T)=1.5+3 , where t is the nuber of years after 1980.
Click here to see answer by stanbon(75887)

Question 380439: I hope someone can help me. I do not understand word problems and I need it worked out. Please help me.
Avoiding a collision. A car is traveling on a road that
is perpendicular to a railroad track. When the car is
30 meters from the crossing, the car�s new collision
detector warns the driver that there is a train 50 meters
from the car and heading toward the same crossing. How
far is the train from the crossing?

Thank you!
Click here to see answer by richard1234(7193)

Question 380171: There were 30 absences from Fahid's electronics class during the first week. Absenteeism dropped steadily to 6 absences during the ninth week. Estimate the number of absences during the fourth week.
I think the answer is 16, but I am unsure how to set up a function for this problem. thanks!
Click here to see answer by scott8148(6628)

Question 380421: 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by C=6,000/200 -2x
a. What is the cost to remove 75% of the pollutant?
b. What is the cost to remove 90% of the pollutant?
c. What is the cost to remove 99% of the pollutant?
d. For what value is this equation undefined?

Click here to see answer by solver91311(24713)

Question 380469: Solve by system of equations.
THe sum of the digits of a two digit number is 13. If the digits of the number are reversed,the new number is 27 less than the origional number. Find the number.
i have so far
10y+x = 10x+y-27 ??
show all work please
Click here to see answer by mananth(16946)

Question 380470: solve by systems of equations.
THe units digit of a two digit number is twice the tens digit. If the digits are reversed, the new number is 36 more than the origional number. Find the number.
im lost.
show all work please
Click here to see answer by stanbon(75887)

Question 380475: solve by system of equations.
The sum of the digits of a two digit number is 12. If 18 is added to the number, the digits will be reversed. Find the number.
please show all your work to help me understand
Click here to see answer by mananth(16946)

Question 380468: Solve by system of equations.
The sum of the digits of a two digit number is 14. If 4 is added to the number, the result is 7 times the units digit. Find the number.
so far i have
x+y=13 y=13 show all work please
Click here to see answer by solver91311(24713)

Question 380478: There were 430 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $830. How many adults and how many children attended?
Click here to see answer by stanbon(75887)

Question 380481: Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes was doubled and the number of nickels was increased by 6, the value of the coins would be $9.90. How many dimes does he have?
Click here to see answer by stanbon(75887)

Question 380476: solve by system of equations.
THe units digit of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more than the origional number. Fing the number.
please show all work to help me understand.
Click here to see answer by stanbon(75887)

Question 380369: I just don't get the question???? Can't find an example in my book anywhere! Can you help me please?
A linear regression between Y and X produced the following equation for the least squares line:
y=2.15 - 3.2x
Which of the following statements concerning this relationship is true>
a. For every one unit increase in X, Y increases 3.2 units
b. For every one unit increase in Y, X decreases 3.2 units
c. For every one unit increase in X, Y decreases 3.2 units
d. For every one unit increase in Y, X increases 3.2 units
Click here to see answer by robertb(5830)

Question 380466: solve by using system of equations.
The sum of the digits of a two digit number is 8. The value of the number is 2 less than 11 times the tens digit.Find the number.
i wasnt to sure how to do this one. this is what i got so far.
10x+y=10y+x*11-2 ??
please show all your work
Click here to see answer by stanbon(75887)

Question 380474: The perimeter of a rectangle is 50m. If the width was doubled and the length was increased by 20m, the perimeter would be 100m. What are the length and width of the rectangle?
Click here to see answer by mananth(16946)

Question 380472: solve by systems of equations.
The tens digit of a two digit number is 1 less than 3 times the units digit. If the digits are reversed, the new number is 45 less than the origional number. Find the number.
show all work please.
Click here to see answer by solver91311(24713)

Question 380374: Appreciate any help I can get, because I don't understand it!
An airline company completed an on-board passenger survey of 400 customers in an attempt to measure the number of bags checked by those traveling on business or for pleasure. The results are as follows:
Business passengers 0 checked 50, 1 checked 60, 2 checked 30, 3 or more checked 10 Total 150
Pleasure passengers 0 checked 20, 1 checked 80, 2 checked 30, 3 or more 60 checked. Total 250
Total for 0 checked=70 Total for 1 checked=140 Total for 2 checked=120
Total for 3 or more checked=70
Total for both business and pleasure 400 total checked bags.
What is the probability that a passenger who responded to the survey was a business customer?
a. 0.333 b. 0.375 c. 0.600 d. 1.000
Click here to see answer by edjones(8007)

Question 380360: you lift weights every third day and take karate class every Monday. today you have karate and lifting weights. In how many day until you have karate and weight lifting on the same day
Click here to see answer by edjones(8007)

Question 380526: Jason had to submit five animation projects as per his syllabus in the final semesters. He scored 80, 87, 76, and 88 points out of 100 in four projects. What should be his score in the fifth project so that the average of all the projects is at least 83?
Click here to see answer by edjones(8007)

Question 380529: An aluminum plate is made according to the following dimensions. The outer radius is 8 inches and the inner radius is 4 inches. (See diagram below) Use π = 3.14 as an approximate value. (a) How many square inches in area is the aluminum plate (the shaded region)? (b) If the cost to construct the plate is $6.50 per square inch, what is the construction cost? (Area = ∏ r2 ).
Click here to see answer by mananth(16946)

Question 380528: The perimeter of a swimming pool is 91m. The width is 5m more than half the length of the pool. Find the length and width of the pool.
Click here to see answer by mananth(16946)

Question 380345: On August 4, the Abbott family received 19 pieces of mail, consisting of magazines, bills, letters, and ads. If they received the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did they receive?

Click here to see answer by Fombitz(32388)

Question 380604: A baseball team played 178 complete games last season. They had 46 fewer wins than losses. How may games did the team win?

Click here to see answer by ewatrrr(24785)

Question 380767: The price p (in dollars) varies directly with the number of admissions
to a museum. The museum charges $12 for 5 student admissions.
Write a direct variation equation that relates p and a. Then find the
total admission price for 30 students.
Click here to see answer by tutorcecilia(2152)

Question 380808: An employee who produces x units per hour earns an hourly wage of y = 0.45x + 10 (in dollars). Find the hourly wage for an employee who produces 9 units per hour.
Click here to see answer by tutorcecilia(2152)

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