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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 167746: A fishing trawler has radioed the Coast Guard for a helicopter to pick up an injured crew member. At the time of the emergency message, the trawler is 660 kilometers from the helicopter and heading toward it. The average speed of the trawler is 30 kilometers per hour, and the average speed of the helicopter is 300 kilometers per hour. How long will it take the helicopter to reach the trawler?
r*t=d
------------r---t--d
trawler-----30--t--30t
helicopter--300-t--300t
-------------
Am I suppose to add like terms, or subtract them? I subtracted them.
-------------
300t - 30t = 660
270t = 660
270t ÷ 270 = 660 ÷ 270
t = 2.44
2 hrs. 26 min.
Click here to see answer by jim_thompson5910(28476)

Question 167771: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial p(1+r/2)^2
represents the value of the investment after 1 year. Rewrite this expression
without parentheses. Evaluate the polynomial if P = $200 and r =10%.
I am so confused can someone please help me? Thank you
Click here to see answer by checkley77(12569)

Question 167790: we are using this formula...S=C+rC and/or S=R-rR
computer retailer uses a markup of 22%. Find the selling price of a computer game that costs the retailer $40.00
Click here to see answer by jim_thompson5910(28476)

Question 167793: we use these formulas...S=CrC and S=R-R
Bedroom set with a regular price of $1395.00 is on sale for $995.00. Find the discount rate .Round answer to the nearest tenth of a %.
Click here to see answer by jim_thompson5910(28476)

Question 167826: The label on a 12-ounce can of soft drink says "Calories: 145". What is the energy content of the product in joules? In kilojoules?
______J.
______KJ.
Click here to see answer by nerdybill(6948)

Question 167874: Select one card from a standard deck. What is the probability of selecting a four, seven, or a heart?
Click here to see answer by checkley77(12569)

Question 167873: A neighborhood association elects a president, vice president, secretary and treasurer. How many sets of officers are possible if there are 16 people in the association?
Click here to see answer by checkley77(12569)

Question 168004: Roberto invested some money at 7%, and then invested $3000 more than twice this amount at 10%. His total annual income from the two investments was $3810. How much was invested at 10%?
P.S. I am assuming that this is to be translated into an actual formula in order to obtain the answer, but I can get really frustrated with almost all word problems. Please help me. Thank you.
Click here to see answer by josmiceli(9649)

Question 168116: A newspaper publishing company has increased its circulation of 2500 per mouth by 7.5%. What is the increase in circulation?
Click here to see answer by Mathtut(3670)

Question 168118: Last year a company spent $5,000 on office supplies. This year they spent only $4500. What is the percentage of decrease in their expenditure?
Click here to see answer by oscargut(891)

Question 168117: An auto dealership had to reduce the number of cars in its lot by 700 cars. In the previous year they had 2500 cars on their lot. What is the percentage of decrease of cars?
Click here to see answer by checkley77(12569)

Question 168114: The price of a computer was reduced from $900 to $700. What is the percent of decrease?
Click here to see answer by checkley77(12569)

Question 168112: A company receives a grant of $12,000 to spend on improvements in 3 departments. The grant will be allocated as follows: 25%, 35%, and 40%. Find the amount allocated to each department.
Click here to see answer by checkley77(12569)

Question 168126: I don't understand it says to solve by the addition or subtraction method
2x+y=18
2x-y=22
Click here to see answer by Mathtut(3670)

Question 168122: Write an equation for the line with slope 3 going through the point (1,-2)
Click here to see answer by oscargut(891)

Question 168128: Jim has a total of 50 coins. Some are nickels and some are dimes. Altogether he has $4.15. How many dimes does he have? How many nickels?
Click here to see answer by josmiceli(9649)

Question 168154: Swimming space. The length of a rectangular swimming
pool is 2x - 1 meters, and the width is x + 2 meters. Write
a polynomial A(x) that represents the area. Find A(5).
Can someone please help me figure out this problem. Thank you
Click here to see answer by gonzo(654)

Question 168160: What is the Pythagorean theorem? How is it used?
Click here to see answer by Mathtut(3670)

Question 168160: What is the Pythagorean theorem? How is it used?
Click here to see answer by gonzo(654)

Question 168172: Apply scientific notation to scientific models/ word problems.

1. Suppose the number of people who live in St. Jerome and pay a water bill is 1,430,000. If the average water bill per month is $80, what is the total amount of money received by the city for water yearly? (Write answer in scientific notation form.)
Click here to see answer by josmiceli(9649)

Question 168173: It takes Lucy 15 minutes longer to clean her garage alone than it takes her brother Billy. Together they can clean the garage in 4 minutes. If Lucy were cleaning the garage alone, how long would it take her to complete the job?
Click here to see answer by ankor@dixie-net.com(15624)

Question 168176: A bowling team in its first 19 games has a win to loss ratio of 7:12. If the same ratio holds for the 30-game season, how many games will the bowling team win?
Click here to see answer by stanbon(57219)

Question 168175: The reciprocal of the product of two consecutive integers is . Find the two integers
Click here to see answer by stanbon(57219)

Question 168174: The wave length (W) of a radio wave varies inversely as its frequency (F). A wave length with a frequency of 1200 kilohertz has a length of 300 meters. What is the length of a wave with a frequency of 800 kilohertz?
Click here to see answer by stanbon(57219)

Question 168151: If your friend take 5 hours longer to clean a house and together it takes 6 hours. How long will it take you to clean the house?
Click here to see answer by ankor@dixie-net.com(15624)

Question 168183: You are an American exchange student planning to study in Florence, Italy, during the winter term. In preparation for your trip, you consult the Italian school’s Web site to find out what the temperature is likely to be. However, the daily weather is given in the Celsius scale. Use the table to find a way to convert temperatures from Celsius to Fahrenheit.
(WATER) {FAHRENHEIT scale} [CELSIUS scale]
(Freezes) {32 degrees} [0 degrees]
(Boils) {212 degrees} [100 degrees]
(a) What are some of the strategies you might use to find a solution to this problem?
(b) Graph the information by drawing coordinate axes with degrees Fahrenheit, (TF), along the y-axis and degrees Celsius, (TC), on the x-axis . Plot the information on freezing and boiling temperatures as points on the graph.
(c) Devise a plan for how to use your graph to determine a relationship between TF and TC that can be used to convert Celsius into Fahrenheit measurements. Explain your strategy,
(d) Execute your strategy and find a relationship between these two temperature scales.
(e) Explain what the straight line on the graph tells us about the relationship between the two temperature scales.
(f) In pure math, when we draw a straight line through two points, we put an arrow on each end of the line to indicate that it continues infinitely in both directions. Would it be accurate to add arrowheads to the ends of the lines in your graph? Explain.
(g) Is there a way to find the coordinates of the point on your graph that would be halfway between the freezing point and the boiling point of water? If so, how?
(h) After implementing your strategy, would you do anything differently if you were confronted with the same problem again? Explain.
Click here to see answer by stanbon(57219)

Question 168127: Erin's age is 3 times Warren's. In 4 years she will be twice as old as he will be. How old is each now?
Click here to see answer by ankor@dixie-net.com(15624)

Question 168171: Apply scientific notation to scientific models/ word problems.

1. Suppose the number of people who live in St. Jerome and pay a water bill is 1,430,000. If the average water bill per month is $80, what is the total amount of money received by the city for water yearly? (Write answer in scientific notation form.)

Click here to see answer by checkley77(12569)

Question 168237: A small plane can fly 180 miles against a 30 mph wind in the same amount of time it takes to fly 540 miles with the 30 mph wind. What is the ground speed of the plane?
Click here to see answer by josmiceli(9649)

Question 168197: Jordan is twice the age of Luke who is 5 years older than Erin. If the total of their ages is 59, how old is Erin?
Click here to see answer by edjones(7569)

Question 168196: Nathan is 5 years older than Dan. If the total of their ages is 19, how old is Dan?
Click here to see answer by edjones(7569)

Question 168256: Please help me solve this problem:

There is only one positive integer which is exactly twice the sum of its digits. Find this two digit number and show how you got your work.
Click here to see answer by 303795(595)

Question 168257: Please help me solve this problem:

Find both values of x which satisfy the equation x + 1/x = 7 + 1 /7 .

x= ___________________ or x= ______________________

Explain how you got your answers.
Click here to see answer by ankor@dixie-net.com(15624)

Question 168255: Please help me solve this problem:
There are three digits such that any two of them, written in any order, serve as the digits of a two-digit prime number. Find all three of these digits and give example of how you got the answer.

Click here to see answer by 303795(595)

Question 168354: While finding the amount of seed needed to plant his three square wheat feilds, Hank observed that the side of one feild was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers then what is the area of each field.
Click here to see answer by Mathtut(3670)

Question 168375: Please help me solve this problem:
A square picture is mounted in a frame 1 cm wide. The area of the picture is 2/3 of the total area. Find the lenght of a side of the picture.

thank you
Click here to see answer by checkley77(12569)

Question 168377: Two drivers leave Omaha at the same time, one driving east and the other west. The average speed of the eastbound car is 12km/h more than the speed of the other car. After 2h, the cars are 336km apart. What are their speeds?
Click here to see answer by Mathtut(3670)

Question 168379: A rectangle is three times as long as it is wide. If the length and the width are each increased by 4, the area is increased by 176. Find the dimensions of the orginial rectangle.
Click here to see answer by checkley77(12569)

Question 168387: Please help me solve this problem:
A rectangular counter is covered with 600 square tiles. The counter could have been covered with 400 tiles 1cm longer on a side. Fing the length of a side of the smaller tile.
Click here to see answer by stanbon(57219)

Question 168386: Please help me solve this problem:
A rectangular pond measures 3m by 5m. A concrete walk of uniform width is constructed around the pond. If the walk and pond together cover an area of 39m^2, how wide is the walk?
Click here to see answer by checkley77(12569)

Question 168421: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Problem Solving Using Polynomial Equations
Solve.
A farmer plans to use 25m of fencing to enclose a rectangular pen that has a area of 63m^2. Only three side of the pen need fencing because part of a existing wall will be used for one of the longer sides. Find the dimensions of the pen.
Click here to see answer by scott8148(6628)

Question 168448: The number N of aluminum cans used each year varies directly as the numbe of people P using the cans. If 59 people use 20,532 cans in one year, how many cans are used in a city which has a population of 1,072,000?The numbe of cans used is ___ ?
Click here to see answer by eggsarecool(46)

Question 168447: Find an quation of variation where y varies directly as the square of x, and where y=0.40 when x=0.1.The equation of variation is y=
Click here to see answer by eggsarecool(46)

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