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

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Question 427023: 6 teams are involved in a round robin tournament. In a tournament, each team plays every other team once and only once. It does not matter who wins how many games in all are played..
Click here to see answer by ewatrrr(10682)

Question 427069: If the cost of a new car is 25,000 dollars plus 8% sales tac and a down payment of 15% including the tx is required, how much money will a consumer need to drive out in a new car:
Click here to see answer by ewatrrr(10682)

Question 426865: store and see oranges are $1.25 per lb.you only want 1 orange.you figure that are 5 oranges in a lb.how much will it cost to buy 1 orange? Hello if you could show me the work and how to come up with the solution thank you for your help
Click here to see answer by ankor@dixie-net.com(15645)

Question 427164: Flor wants to solve the equation (.6)x=16. what step should she takes first?
f. subtract .6 from each side.
g. subtract 16 from each side.
h. multiply both sides by 5
i. divide each side by 16
Click here to see answer by Alan3354(30993)

Question 427163: paul put some money in a bank that paid 5% interest.Three years later, his account had $2760.How much money did he originally put in the account.
Click here to see answer by rfer(12654)

Question 427265: Solve, show all work
If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three integers.
Click here to see answer by robertb(4012)

Question 427317: worldwild orders for jet airliners increased about 106% from 1998 to 1999. Worldwide orders totaled 347 in 1998. how many jet airliners were ordered in 1999?
Click here to see answer by stanbon(57282)

Question 427389: Nineteen is four larger than three times a certain number. Find the number.
Click here to see answer by MathLover1(6625)

Question 427422: Test the hypothesis using the six step process.
Ho: p = 0.9 versus H1: p does not equal 0.9
n = 500, x = 440, a =0.05

Click here to see answer by stanbon(57282)

Question 427543: Suppose that the surface area S of a bird's wings in square feet can be modeled by S(w)=1.27w^(2/3), where w is the weight of the bird in pounds, with 1 <= w <= 10. Estimate the weight of a bird with wings having a surface area of 3 square feet.
Click here to see answer by stanbon(57282)

Question 427570: max buys 7 plam trees. He buys 10 more cactus plants than he buys palm trees. He buys 12 more ferns than he buys cactuses. Write a number sentence to shoe how many ferns max buys?
Click here to see answer by John10(245)

Question 427514: A 120-foot long rope is cut into 3 pieces. The first piece is twice as long as the second piece of rope. The third piece of rope is three times as long as the second piece of rope. What is the length of the longest piece of rope?
Click here to see answer by jorel1380(2518)

Question 427519: An advertising company has an automated mailing machine that can fold, stuff and address a particular mailing in 6 hrs. With the help of a newer machine the job can be completed in 2 hrs. How long will it take the newer macine to do the job alone?
Click here to see answer by jorel1380(2518)

Question 427592: thw time in hours it takesa a satellilite to complete an orbit around the earth varies directly as the radius of the orbit from the center of earth and inversly as the orbital velocity . if a satellite completes an orbit 780 miles above the earth in 11 hours at a velocity of 25000 mph, how long would it take a satellite to complete an orbit if it is at 1700 miles above the earth at a velocity of 32000mph? use 3960 miles as the radius of the earth and round your answer to the nearest hundreth of an hour.
Click here to see answer by lwsshak3(6490)

Question 427594: the pressure of a gas varies jointly as the quantity of the gas measured in moles and thetemperature and inversly as the volume of the gas. suppose that the pressure of a particular gas is 924 kilopascals kpa when the quantity is 8 moles the temperature is 280 kelivin k and the volume is 640 cc. find the pressure of that gas when the number of moles is 11 the temperatureis 310 k and the volume is 660cc.
Click here to see answer by Gersid(33)

Question 427645: have shore house for 6,600 for 3 weeks, 8 people staying the full 3 weeks,2 people for 2 full weeks,1 for 7 days,1 for 9 days. i cant figure out a fair payment for everyone,can u help
Click here to see answer by Alan3354(30993)

Question 427814: I have a question that says if Jack can mix 20 drinks in 5 minutes, Lisa can mix 20 drinks in 10 minutes, and Jorge can mix 20 drinks in 15 minutes, How long will it take all three of them to mix 20 drinks. I don't know what equation to put it in to find the answer. Please help.
Click here to see answer by ankor@dixie-net.com(15645)

Question 428011: QUESTION: Your friend’s score in a game is 225. This is 25 more than twice your score. Write an equation to model the situation. What is your score?

Click here to see answer by John10(245)

Question 428013: Two trains going in opposite directiosn leave at the same time.Train B travels 5 mph faster than train A. In 5 hours the trains are 425 miles apart.Find the speed of each.

Thanks.
Click here to see answer by rfer(12654)

Question 428016: An experienced bricklayer can construct a small wall in 3 hours. An apprentice can complete the job in 7 hours. Find out how long it takes if they work together.

Appreciate the help.
Click here to see answer by John10(245)

Question 428014: A plane flies 435 miles with the wind and 345 miles against the wind in the same length of time. If the speed of the wind is 15mph, find the speed of the plane in still air.
Click here to see answer by mananth(12270)

Question 428009: The speed of a stream is 5mph. A boat travels 5 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water.

help please.
Click here to see answer by mananth(12270)

Question 428106: The speed of a stream is 3 mph. A boat travels 5 miles upstream in the same time it takes to travel 11 miles downstream. What is the speed of the boat in still water?

Any insight please.
Click here to see answer by mananth(12270)

Question 428211: Jack usually mows his lawn in 8 hours. marilyn can mow the same yard in 6 hours. How much time would it take for them to mow the lawn together?
Click here to see answer by josmiceli(9664)

Question 428216: A hot air balloon is seen over Seven Springs simultaneously by two observers standing at two different points on the ground. ( The 2 people are facing each other and the balloon is in between them in the air.) They are 1.75 miles apart on ground level. The angles of elevation are 33 degrees and 37 degrees respectively. How high above the ground is the balloon?
Click here to see answer by josmiceli(9664)

Question 428299: The longest side of the triangle is 3 in longer than the shortest side. The medium side is 2 in longer than the shortest side. If the perimeter of the triangle is 20 in., what are the lengths of the three sides?
Click here to see answer by stanbon(57282)

Question 428387: Soybean meal is 12% protein, cornmeal is 6% protein, how many pounds of each should be mixed together in order to get 240 pound mixture that is 10% protein?
I have tried to solve this at least a dozen times and only get part of it right.
Can you please explain how?
Click here to see answer by stanbon(57282)

Question 428422: need the answer for time .80 mile i ran a .99 mile in a time of 5:12
Click here to see answer by stanbon(57282)

Question 428525: An airplane can travewl 380 miles into the wind in the same time that it can travel 420 miles with the wind. If the wind speed is 10 miles per hour, find the speed of the airplane without any wind.
Click here to see answer by mananth(12270)

Question 88809: Three oranges cost half of what nine apples cost. If one orange and one apple together cost 30 cents how much does one orange cost.
This question is not from a textbook-the instructor gave it to us.
A+O=.30 THEN A=.30-O
3O=9A/2
3O=9(.30-O)/2
3O=(2.7-9O)/2
3O=(2.7-9O)/2
6O=2.7-9O
60+9O=2.7
15O=2.7
O=2.7/15
O=.18 FOR EACH ORANGE.
A=30-18
A=12.
PROOF
3*.18=9*.12/2
.54=1.08/2
.54=.54

Click here to see answer by lammy60(2)

Question 428649: A small jet can fly 1024 miles from city A to city B in 4 hours with the wind return in 8 hours against the wind. What is the speed of the wind?
A. 48 mph
B. 80 mph
C. 96 mph
D. 64 mph

Click here to see answer by shree840(260)

Question 428660: 12. Select the correct type of system represented by the following system:
6x + 2y = 10
3x + y = 5
A. Consistent and independent
B. Inconsistent
C. Consistent and dependent
D. None of these

Click here to see answer by ewatrrr(10682)

Question 428656: A cashier has 53 $5 and $20 bills in her cash drawer. The value of the bills is $820. How many $5 bills are in the drawer?
A. 35 $5 bills
B. 16 $5 bills
C. 18 $5 bills
D. 37 $5 bills

Click here to see answer by ewatrrr(10682)

Question 428669: A yogurt company blends regular yogurt that is 4% fat with its no-fat yogurt to obtain low-fat yogurt that is 2% fat. How many pounds of non-fat yogurt must be mixed to obtain 80 pounds of low-fat yogurt?
Click here to see answer by htmentor(789)

Question 428667: Tell whether the system has no solution, one solution, or infinitely many solutions.
y = 5x – 4
y = 5x – 5
A. no solutions
B. one solution
C. infinitely many solutions

Click here to see answer by richard1234(5390)

Question 428592: A rectangular garden measures 80 feet by 60 feet. A large path of uniform width is to be added along both shorter sides and one longer side of the garden. The landscape designer doing the work wants to double the garden's area with the addition of his path. How wide should the path be?
Click here to see answer by ankor@dixie-net.com(15645)

Question 428561: If Mike gives Dolly 16 stamps, he will have the same number of stamps as she.
If Dolly gives Mike 14 stamps, the ratio of the no. of stamps she has to the no. of stamps Mike has will be 1:6.
How many stamps does Mike have at first?

Click here to see answer by ankor@dixie-net.com(15645)

Question 429039: I answered questions 1 and 2 but not sure if they are correct...need help with the rest.
In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
Suppose that a market research company finds that at a price of p = $25, they would sell x = 36 tiles each month. If they lower the price to p = $15, then more people would purchase the tile, and they can expect to sell x = 41 tiles in a month’s time.
1.Write two ordered pairs in the form (x, p) that represent the market research. (2 pts)
(25,36) (15,41)
2.Find the equation of the line for the demand equation using the two points in #1. Write your answer in the form p=mx+b.
plug the numbers into the formula for m to find the slope
m=(41-36)/(15-25) or… m=5/(-10) or… m=(-1)/2
So the equation for p=mx+b is… p=-1/2x+b
Solving for b.
(25,36). p=mx+b or 36= -1⁄2× 25+b, or solving for b: b=36-(-1⁄2)(25).b=97⁄2.
(15,41). p=mx+b or 41= (-1)⁄2 × 15+b, or solving for b: b=41-(-1⁄2)(15).b=97⁄2.
The equation of the line that passes through the points
(25,36) and (15,41)
is
p=-1⁄2 x+97⁄2
A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
3. Substitute the results you found from #2 into the equation R=xp to find the revenue equation. Provide your answer in simplified form. (DO NOT REPLACE THE X, only the P is Replaced with your equation from #2.) (2 pts)
The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $400, and the supplier’s cost for a set of tile is $7 each. Let x represent the number of tile sets.
4. If b represents a fixed cost, what value would represent b? (1 pt)
5. If m represents the cost per tile set, what value would represent m? (1 pt)
6. Find the cost equation for the tile. Write your answer in the form C=mx+b. (2 pts)
The profit made from the sale of tiles is found by subtracting the costs from the revenue.
7. Find the Profit Equation (P) by substituting your equations for R (#3) and C (#6) in the equation . Simplify the equation. (3 pts)

Click here to see answer by John10(245)

Question 429136: I have seen this question posted many times, but none with the numbers I have, I am a 35 yr old college student, and it has been almost 20yrs since I have done math. So anyone's help would be greatly appreciated. :)

1. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a. The sales representative here tells you they also have two floor plans available, but they only have 76 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
b. The representative tells you that floor plan one sells for $175,000 and floor plan two sells for $200,000. She also mentions that all the available houses combined are worth $14,400,000. Write an equation that illustrates this situation. Use the same variables you used in Part a.
c. Use elimination to determine how many houses are available in each floor plan. Show how you arrived at your answer.

Click here to see answer by ewatrrr(10682)

Question 429149: The perimeter of a rectangle is 68 inches. The length exceeds the width by 28 inches. Find the length and the width.
Click here to see answer by ewatrrr(10682)

Question 429145: A kilometer is a slightly more than six-tenths of a mile. If the speed limit along a stretch of highway in Canada is 90 kilometer per hour, to the nearest whole number, how fast can you travel in miles per hour and still not break the speed limit?
Click here to see answer by ewatrrr(10682)

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