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

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Question 152693: Please help me solve this word problem:
Translate the following into a system of equations, then solve.
A customer walks into an electronics store and buys five MP3 players and eight eights of headphones, paying $840. A second customer buys three MP3 players and four sets of headhpones, and pays $480. How much does an MP3 player cost? How much does a set of headdphones cost?
Thank you.
Click here to see answer by jojo14344(1512)

Question 152715: Fred, Tiger, and Nancy play a round of golf together. Their combined score is 223. Fred's score was 3 more than Nancy's and Tiger's score was 7 more than Freds. What was each persons score?
Click here to see answer by jojo14344(1512)

Question 152924: Please help with this algebraic equation word problem:
1. The length of a rectangular field is 2 yards more than its width. Find the width if the area of the field is 120 yd squared.
a. Explain why the answer of a width of -12 yards is unreasonable.
b. Give a reasonable answer in its place.
c. Explain why your answer is more reasonable.
Click here to see answer by edjones(7569)

Question 153028: A rectangle has one side twice the length of the other. Express the area of the rectangle as a function of its perimeter A(P)?
Click here to see answer by vleith(2825)

Question 152829: D- 85: Rose's garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 5 feet and shortening the other side by 5 feet. What polynomial represents the new area? By how much will the area of the new garden differ from that of the old garden?
I could not locate the ISBN # however the autor is Mark Dugopolski Elementary and Intermediate Algebra Second Edition
Click here to see answer by Earlsdon(6287)

Question 152780: Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is anne standing?
Click here to see answer by orca(409)

Question 152798: you can buy cookies 3 possible ways = 1 per package, 2 per package, or 6 per package..... how many different ways can you buy 12 cookies
Click here to see answer by checkley77(12569)

Question 153144: Can someone please explain this to me? I have no idea where to even start! Much appreciated.

Find an exponential function of the form f(t) = Y 0 bt to model the data. The number of music cassette tapes sold in 1995 was 272.6 million and in 2003 the number sold was 17.2 million. Let x = 0 in 1995.
a) Build a model of the form f(t) = Y 0 bt
b) Estimate the number of cassettes sold in 2004.
c) When will the number of cassette sales drop below 1.5 million?

Click here to see answer by stanbon(57246)

Question 153153: Find two positive real numbers that differ by 2 and have a product of 10.
Click here to see answer by orca(409)

Question 153164: Doctors use the formula ND=1.08T. To relate the variables N(the number of patient appointments the doctor sceduled in one day), D(the duration of each patient appointment), and T(the total number of minutes the doctor can use to see patients in one day).
Question A. solve the formula for N
Question B. Use this to find the number of patient appointments N a doctor should a doctor should make if she has 6 hours available for patients and each appointment is 15 minutes long.(Round to the nearest whole number)
Click here to see answer by oscargut(891)

Question 153252: Could you please help me with some word problems my teacher has assigned? We were told these were not directly from a math book.
One number is twice another number. If the larger is diminished by ten, the result is two more than the smaller. Find both numbers.
I thought it was: 2x -10, but I wasnt getting it right.
Could you please help me?
Thank you in advance.
Click here to see answer by ankor@dixie-net.com(15638)

Question 153262: Could you please help me with some word problems my teacher has assigned? We were told these were not directly from a math book.
Sarah's age exceeds Judy's age by 16 years. Four years ago, Sarah was twice as old as Judy. Find there ages now.
I get so confused on these problems I dont know where to begin. Could you help me please? Thank you in advance.

Click here to see answer by Alan3354(30983)

Question 153257: Could you please help me with some word problems my teacher has assigned? We were told these were not directly from a math book.
One number exceeds four times a second number by four. One third of the larger number exceeds one-half of the smaller by 8. Find both numbers.
I was thinking it was: x+4x+4 I just get so confused on these problems. Could you help me please?
THank you in advance.

Click here to see answer by ankor@dixie-net.com(15638)

Question 153259: Could you please help me with some word problems my teacher has assigned? We were told these were not directly from a math book.
A salesman made a trip of 375 miles by bus and train. He traveled 3 hours by bus and 4 hours by train. If the train is 15 mph faster than the bus, how fast did he travel on each?
I was thinking it was: 375=4x+15 and 375=3x I just get so confused on these problems. Could you help me please?
THank you in advance.

Click here to see answer by ankor@dixie-net.com(15638)

Question 153291: One third of the result of twice a certain number is added to one. The resulting expression is equivalent to one quarter of twice the certain number. Write an equation and solve.
Click here to see answer by orca(409)

Question 151550: In 1996 23/50 of all accidental deaths in the US resulted from car accidents how many deaths were accidental in 1996
23/50 divided into the 43,194 were car accidents
x would be deaths that were accidental How do I put this in an equation

Click here to see answer by jojo14344(1512)

Question 153306: A snack food is made by mixing 5 lbs. of popcorn that costs $.80 per pound with caramel that costs $2.40 per pound. How much caramel is needed to make a mixture that costs $1.40 per pound?
Click here to see answer by mangopeeler07(462)

Question 153417: Write 1024 in exponential notation. help me with this please!!
Click here to see answer by scott8148(6628)

Question 153487: Find out how long it takes for an investment of $2500 to double if it is invested at 8% compounded continuously. Use the formula A=Pe^rt
Click here to see answer by stanbon(57246)

Question 153496: Solve the equation exactly for x: log3 x-log3(x-3)=2
Click here to see answer by Fombitz(13828)

Question 153490: solve the equation e^5x-3=10
Click here to see answer by Fombitz(13828)

Question 153480: Please help me with some word problems. I have tried for several hours and cant figure out where to begin.
Sarah has three times as many dimes as nickels and twice as many quarters as dimes. In all, she has $5.55. How many of each coin does she have?

Thank you.
Click here to see answer by Fombitz(13828)

Question 153489: find the zeros of the function
f(x)=xe^-x -e^-x
Click here to see answer by Edwin McCravy(8882)

Question 153489: find the zeros of the function
f(x)=xe^-x -e^-x
Click here to see answer by Fombitz(13828)

Question 153488: use the change of base formula to write an expression in termsof logarithms to base e for log5 10. what is the value (nearest 0.01)
Click here to see answer by Fombitz(13828)

Question 153502: condense the esspression
1/2ln(x+1)-1/2ln(x-1)+lnC
Click here to see answer by Fombitz(13828)

Question 153504: Solve the exponential equation e^x+3=8: Express the solution as a natural logarithm.
Click here to see answer by Earlsdon(6287)

Question 153505: use the properties of log. to evalueate the expression log.a cube root a^2
Click here to see answer by Earlsdon(6287)

Question 153506: Use properties of logarithms to expand the expression: log 12x/7
Click here to see answer by josmiceli(9661)

Question 153484: Please help me with some word problems. I have tried for several hours and cant figure out where to begin.
A coffee maker wants to make a coffee blend by mixing two different coffee beans. Colombian coffee is $3 per pound, while Costa Rican coffee is $6 per pound. The company wants 90 pounds of this mixture which will sell for $4 per pound. How many pounds of each type of coffee should be used?

Thank you.
Click here to see answer by Fombitz(13828)

Question 153482: Please help me with some word problems. I have tried for several hours and cant figure out where to begin.
Your family is planning a 7 day vacation in Florida. You estimate that it will cost $275 per day in Tampa and $400 per day in Orlando. Your total budget is $2300 for the whole trip. How many days should you spend at each location?
Thank you.
Click here to see answer by Fombitz(13828)

Question 153481: Please help me with some word problems. I have tried for several hours and cant figure out where to begin.
A citrus fruit company plans to make 13.25 pound gift box of oranges and grapefruit. Each box cost $21. An orange weighs .5 pound and sells for $.75. Each grapefruit weights .75 pounds and sells for $1.25. How many oranges and grapefruit should be in each box?
Thank you.
Click here to see answer by ankor@dixie-net.com(15638)

Question 153612: A concrete driveway measures 14 yards by 5 yards. The driveway will be 0.75 yards thick. (a) How many cubic yards of concrete will be needed? (b) How much will it cost if concrete is $4.75 per cubic yard?
Click here to see answer by orca(409)

Question 153673: I'm, stuck can you help? #80. Buried Treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock,walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information then they can find x and save a lot of digging. What is x?
Click here to see answer by stanbon(57246)

Question 153655: A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0.3 inches is left in the center. (See diagram below) (a) How many square inches in area is the light-switch plate (the shaded region)? (b) If the cost to construct the plate is $4.27 per square inch, what is the construction cost?
Click here to see answer by nerdybill(6950)

Question 153677: A rectangular box is (3x + 7) feet wide, (6x + 3) feet long, and (7x - 1) feet high. Find the volume of this box.
Click here to see answer by checkley77(12569)

Question 153706: Explain (a+b)^2 not equal to a^2 + b^2
give a numerial example to illustrate
Click here to see answer by Earlsdon(6287)

Question 153706: Explain (a+b)^2 not equal to a^2 + b^2
give a numerial example to illustrate
Click here to see answer by jim_thompson5910(28504)

Question 153740: Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0.2x^2 + 300x-200. What is the profit if 500 are sold? For what value of x will the profit be at a maximum?

Click here to see answer by josmiceli(9661)

Question 153828: The Indianapolis motor speedway has 3,200,000 bricks that lie beneayh the 2,5 mile track. Find how many bricks lie under one mile of the race track
Click here to see answer by josmiceli(9661)

Question 153609: A rectangular light-switch plate is made according to the following dimensions. The length is 7 inches, and the width is 5.5 inches; a rectangular hole measuring 1.2 inches by 0.3 inches is left in the center. (See diagram below) (a) How many square inches in area is the light-switch plate (the shaded region)? (b) If the cost to construct the plate is $4.27 per square inch, what is the construction cost?
Click here to see answer by ankor@dixie-net.com(15638)

Question 153852: Please help me. I have been working on this problem with a classmate of mine and we cant figure this one out at all.
We were thinking.... x + y = 6 and 8x + 3y = 60 However, thats not correct.
Lisa Chung wants to cover a 6 miles course in 1 hour by running part of the way and walking the rest. She also wants to make a 5 minute stop for water. Lisa runs 8 mph and walks 3 mph. How many miles will she have to run?
Please help and as always - I do appreciate you.

Click here to see answer by stanbon(57246)

Question 153864: Suppose you have a coin collection of nickels and dimes containing 63 coins. If you have $5.05, how many of each type of coin do you have?
Click here to see answer by stanbon(57246)

Question 153959: Please Help! # 81 Skydiving. If there were no air resistance, then the height (in feet) above the earth for a skydiver t seconds after jumping from an airplane at 10,000 feet would be given by h(t) = -16t2 (the 2 is two to the power) + 10,000

Click here to see answer by stanbon(57246)

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