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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 310554: The cost, in dollars, of a taxi ride in New York City is given by C(d)=2d+2.5, where d is the number of miles traveled?
Click here to see answer by nerdybill(6957)

Question 310566: The first day at a baseball game you purchase 3 colas and 2 hotdogs worth $5.75.
The next day you purchase 2 colas and 5 hotdogs worth $7.50. Find the cost of one cola and one hotdog.
Click here to see answer by mananth(12270)

Question 310558: Shanon and Piper are on the golf team. Shanon buys 10 cheap golf balls and 7 expensive ones for $31.75. Piper buys 8 cheap and 5 expensive balls for $23.75. Find the prices of the two kinds of golf balls.
Click here to see answer by mananth(12270)

Question 310698: As a typist for the Chief of Administration, you are required to type 15 documents. Each document is 12 pages long with 25 lines per page and 10 words per line. Assuming that you type 40 words per minute, how many minutes will it take you to type all 15 documents?
Click here to see answer by texttutoring(324)

Question 310732: A data processing unit has four rows of terminals with six terminals in each row. A second unit has nine rows of terminals with five terminals in each row. The number of additional terminals in the second unit is
Click here to see answer by JBarnum(2044)

Question 310945: Will you please help me with this word problem? I don't understand how to use pi and write formulas from these problems. A semicircular window of radius 10 inches is to be laminated with a sunblock coating that costs .85 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (use pi=3.14. hint: area of circle is A=pi r^2)
Click here to see answer by Fombitz(13828)

Question 310947: Will you please help me with this problem? For a holiday party, Laura is making a seven layer torte, which consists of seven 8 inch diameter layers with a cream topping on each layer. She knows that one recipe of cream will cover 55 square inches of cake. How many batches of the topping must she make to complete her torte? ( use pi=3.14 as an approx. value) please show work.
Click here to see answer by mananth(12270)

Question 310946: Can you please help me with this problem? I'm confused. A square light switch plate is made which measures 4 inches on each side. A square hole measuring 1 inch on each side is left in the center. If the cost to construct the plate is 2.75 per square inch, what is the construction cost? (use A=s^2)
Click here to see answer by mananth(12270)

Question 310870: A class containing a number P students has a test average of 70%. Another class containing a number N students has a test average of 92%. When the classes are combined, the new average is 86%. What is the value of P/N?
It's the only problem in my homework assignment I can't solve. I think it should be set up as:
[(P X .70) + (N X .92)]/P + N equals .86
But how do I solve for P or N?
Click here to see answer by Fombitz(13828)

Question 311022: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables.
In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make?
Click here to see answer by texttutoring(324)

Question 311005: Your business trip allows $250 reimbursement for car rental. If you rent a car for a flat fee of $49.95 per week plus $.22 per mile, what are the maximum miles you can drive without exceeding your allowance?

Click here to see answer by JBarnum(2044)

Question 311163: W angle is 30o more than its complement.
b. Three times an angle is 12o less than its supplement.rite an equation for each statement.
a. Twice an
i don't understand how to write the equation at all.
Click here to see answer by checkley77(12569)

Question 311159: Alex skies 3 miles north, 2 miles east, 4 miles north, 13 miles east. How far would he have skied if he were able to go in a straight line from his starting point to his destination?
Click here to see answer by mananth(12270)

Question 311271: a, b, c and d are numbers of different values such that a + b = d a*b*c = 0
Which of the 4 numbers MUST be equal to 0?
A) a B) b C) c D) d E) none

Click here to see answer by Fombitz(13828)

Question 311311: Students in a psychology class took a final examination. As part of an experiment to see how much of the course content they remembered over time, they took equivalent forms of the exam in monthly intervals thereafter. The average score for the group, f(t), after t months was modeled by the function

F(t) = 88-15 ln(t+1), 0 ≤ t ≤ 12
Answer the following questions and show all work to obtaining that answer.
1. What was the average score on the original exam?
2. What was the average score, to the nearest tenth, after 2 months? 4 months? 6 months? 1 year?
3. Sketch the graph of f (either by hand or with a graphing utility). Describe what the graph indicates in terms of the material retained by the students. You do not need to include a picture of the graph in your assignment.

Note: ln represents the natural logarithm in the function.

Click here to see answer by fractalier(2101)

Question 311195: You have administered a standardized test of manual dexterity to two groups of 10 semi skilled workers. One of these two groups of workers will be employed by you to work in a warehouse with many fragile items. The higher the manual dexterity of a worker the less likelihood that worker will break significant inventory. Because of a unique contract you must hire all 10 employees from one of the two groups and none of the employees from the other.
Group A Scores Group B Scores

99 78

100 86

60 79

59 92

95 75

97 86

67 90

34 59

81 79

96 64

You must decide which group to choose. Consider at least two measures of central tendency and at least one measure of dispersion for each group and use those to make your choice. Be sure to justify your choice with at least one page of discussion and analysis. Can you base a decision on the information provided and the measures that you calculated only?

Click here to see answer by Fombitz(13828)

Question 311400: A lifeguard uses 700m of marker buoys to rope off a rectangular swimming area in a lake. One side of the swimming area is a sandy beach. Determine the dimensions that will result in the maximum swimming area. What is the maximum swimming area?
This is how I interpreted the question, but I'm not positive that it's correct.
Let x represent the width and y the length. A=xy
2x+2y=700
2y=700-2x
y=(700-2x)/2
y=350-x
A(x)=x(350-x)
0=x(350-x)
x=0 or x=350
the mid value of 0 and 350 is x=175
when x=175, y=350-175
y=175
A(x)=x(350-x) is A(x)=350x-x^2
therefore the dimensions are 175 by 175 and max area is 30625. I don't believe my answer is right due to the fact I didn't take that 1 side of the beach is sandy and it doesn't make sense that the dimensions are 175 by 175 when the swimming area is suppose to be a rectangle. I would really appreciate the help. Thank you in advance.
Click here to see answer by solver91311(16877)

Question 311484: Fifty chickens can lay 1,000 eggs in 30 days. At the same rate, how long would
it take 25 chickens to lay 500 eggs?
(A) 15 days (B) 20 days (C) 30 days (D) 60 days (E) 80 days

Click here to see answer by Alan3354(30993)

Question 311505: The area of a triangle is 54 square feet. The area is 9 sq. feet which is 3 longer than the width which 6 sq. feet. How do I set this problem up into an equation?
Click here to see answer by Alan3354(30993)

Question 311461: Jim is driving to Atlanta. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in minutes). When graphed, the function gives a line with a slope of -0.9
Jim has 74 miles remaining after 31 minutes of driving. How many miles were remaining after 19 minutes of driving?

Click here to see answer by ankor@dixie-net.com(15646)

Question 311559: An object is thrown downward from a plane which is 540 feet above the ground. The object is thrown with an initial velocity of 27 ft/sec. The distance traveled by the object in t seconds is s = 16t2 + 27t, where s is in feet. How long does it take the object to reach the ground? Show your work.
I need help i understand that
540 = 16t^2 + 27t but what is after this I am lost. Please help me if you can
Click here to see answer by Alan3354(30993)

Question 311580: On three consecutive passes, a football team gains 6 yards, loses 10 yards, and gains 36 yards. What number represents the total net yardage?
Click here to see answer by checkley77(12569)

Question 311612: How do I solve for x in this word problem?
Jim made a 450 mile trip in his car at a certain speed. If he had gone 10 mph faster, he could have made the trip in one hour less time. Find his speed.
Click here to see answer by mananth(12270)

Question 311750: The profit from a school dance depends on the ticket price. Using some calculations, students find that the profit p can be modeled by the equation p= -10t^2 + 240t+1710 where t represents the ticket price. what ticket price will give the students maximum profit? what is the maximum profit?
Click here to see answer by stanbon(57290)

Question 311676: There are three piles of lollies on the table. The first pile has three fewer lollies than the second pile. The third pile has 20 more than three times the second pile. There are 65 lollies altogether. How many lollies are there in each pile?
Click here to see answer by ankor@dixie-net.com(15646)

Question 311819: William opened two investment accounts for his grandson's college fund. The first year, these investments, which totaled $18,000 yielded $831 in simple interest. Part of the money was invested at 5.5% and the rest at 4%. How much ws invested at each rate?

Click here to see answer by checkley77(12569)

Question 312019: 1/5 of students in a school have no brothers or sisters. Of the remaining students, 40% have 1 brother or sister. What percent of all students have more than 1 brother or sister?
a 60 b 80 c 48 d 20 e 45
Click here to see answer by dcharlequin(6)

Question 311935: If a place is six hours away driving in a car then how far is that place if u have to walk
Click here to see answer by dcharlequin(6)

Question 312082: A rock is thrown from the top of a tall building. The distance, d, in feet, between the rock and the ground t seconds after it is thrown is given by the model
d=-16t^2-2t+524
How long after the rock is thrown is it 321 feet from the ground?
Click here to see answer by solver91311(16877)

Question 312117: A scale drawing of a room uses the scale 1 in.: 20 ft. Find the actual length of the room if it measures 1 1/4in. in the scale drawing.
I need to know step by step how you got the answer please
Click here to see answer by checkley77(12569)

Question 312109: The area of a rug is 66 square feet. The length of the rug is 5 feet longer than the width. What is the width of the rug?
Click here to see answer by checkley77(12569)

Question 312115: Victor opens a savings account with $600. The account pays 5 1/2% interest, compounded quarterly. If he makes no other deposits or withdrawals, how much will Victor have in his account after 9 months?
I need to know step by step how you got the answer please
Click here to see answer by nerdybill(6957)

Question 312217: Mardi received an inheritance of $70,000. She invested part at 10% and deposited the remainder in tax-free bonds at 8%. Her total annual income from the investments was $6800. Find the amount invested at 10%.
Click here to see answer by checkley77(12569)

Question 312269: The sum of a number and its reciprocal is 10/3. What is the number?
Click here to see answer by mananth(12270)

Question 312253: I cannot figure out how to solve this problem. Can anyone help?
The senior classes ot Hish school A and High shcool B planned separate trips to NYC. The class @ High school A rented and filled 1 van and 6 buses with 372 students. High school B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same munber of students. How many students can a van carry? How many students can a bus carry? Thank you :)
Click here to see answer by scott8148(6628)

Question 312428: Ben is making wooden toys for the next arts and crafts sale. Each toy costs Ben $1.80 to make. If he sells the toys for $3.00 each, how many will he have to sell to make a profit of exactly $36.00 ?
And how do I do this problem I couldnt figure out how to solve it.
Click here to see answer by nerdybill(6957)

Question 312382: The number of books N to be sold at a bookfare is given by the function
N(p) = 25000 / (3p + k)
where p is the price per book and k is a constant. If 1000 books are sold at $7 per book, how many books will be sold at the price of $10 per book?

Click here to see answer by nerdybill(6957)

Question 312446: Can you help me with this word problem? Thanks!
A population of rabbits is growing exponentially at a rate of 11.2% every 2 months. How many months will be required for the rabbit population to double?
Click here to see answer by nerdybill(6957)

Question 312378: Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each?
Click here to see answer by nerdybill(6957)

Question 312502: The length of a rectangular field is 50 meters more than twice it's length. If the perimeter is 700 meters, find the dimensions of the field.
Click here to see answer by checkley77(12569)

Question 312584: How can you translate this phrase into an algebraic expression? The total of 35, T and 300
Click here to see answer by checkley77(12569)

Question 312582: An airplane covered 24 miles of its route while decreasing its altitude by 13,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth [hint: 1 mile = 5280 feet). I am pretty sure that it's going to be rise over run and that I would make the 13,000 feet 2.5 miles but so it should be 2.5/24 but I'm not 100% that's what the teacher is looking for. Any help would be appreciated
Click here to see answer by nerdybill(6957)

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