Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 58101: THE RANDOLPHS USED 12 MORE GALLONS OF FUEL OIL IN OCTOBER THAN IN SEPTEMBER AND TWICE AS MUCH OIL IN NOVEMBER AS IN SEPTEMBER. IF THEY USED 132 GALLONS FOR THE THREE MONTHS, HOW MUCH WAS USED DURING EACH MONTH?
THANKS FOR ANY HELP.
Click here to see answer by funmath(2933)  |
Question 58209: A 12 centimeter cube (i.e. 12x12x12) was painted red on the outside. The cube was then cut into one centimeter cubes. How many of these smaller cubes have paint on one side? Two sides? Three sides? No sides? (hint: examine smaller cubes first) show/explain the procedure used.
Click here to see answer by rcmcc(152)  |
Question 58158: A metallurgist has one alloy containing 20% copper and another containing 70% copper. How many pounds of alloy must he use to make 50 pounds of the a third alloy containing 50% copper?
Thank you for taking the time to help!
Click here to see answer by Nate(3500) |
Question 58256: A farmer has 96 meters of fencing. He wants to enclose a rectangular field and build a fence across the middle, parallel to the shorter ends.
a. Express the total area of the field as a function of the width w, where w is the length of the shorter ends (hint: result is a quadratic)
b. Algebraically determine the value of x for which the area is maximum.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 58446: I'm having trouble with a word problem, not from a book and don't understand how to find an equation for this one:
Use the digits 0,1,2,3,4,5,6,7,8,9 and form a 10 digit number. It must be divisible by every number starting at 1 through 18, including 18. Each digit must be used only one time.
Click here to see answer by venugopalramana(3286) |
Question 58446: I'm having trouble with a word problem, not from a book and don't understand how to find an equation for this one:
Use the digits 0,1,2,3,4,5,6,7,8,9 and form a 10 digit number. It must be divisible by every number starting at 1 through 18, including 18. Each digit must be used only one time.
Click here to see answer by jenrobrody(19) |
Question 58476: Hello, If someone could please please help me out with this problem. I tried yo figure it out myself but it didn't make any sense. I would appreciate it thank you so much,
-kimberley
When you borrow money, you have to pay interest that you have borrowed. The formula that is used to cacul the interest is I= PRT, I= is the amount of interest that you have to pay that you have P=money borrowed at R= % ( in decimal form) during t= years. Determine the time is will take to pay back 200$ at a 5% interest rate each year if you make interest payments of 60$.
Click here to see answer by stanbon(75887) |
Question 58489: hello i just wanted to check to see if I was doing this word problem correctly. The word problem says...
A tank can be filled by an inlet pipe in 8 hours when the drain pipe is open and in 5 hours if the drain pipe is closed. How long will it take to empty a full tank when the inlet pipe is closed.
i did...
X/8 (x over eight) + X/5 (x over five) = 1
40 [X/8 + X/5 = 1]
then got...
5x + 8x = 40
13x= 40
x= 3 1/3
if this is correct, wrong, or an easier way to do thi problem it would be very helpful to know. Thank You!
Click here to see answer by Edwin McCravy(20054)  |
Question 58581: hello again,
I have another question for you.
Darell wants to pick up one of his clients that will be arriving at the airport.
Taxi will cost 6$ plus o.50$ for each kilometre. Limo will cost 40$.
A)write the equation; well i cam up with
a- y=6+0.50$
b- y= 40
B) resolve the equation
c) explain what the solution represents of the system
d) darell is trying to find out what costs less, what advice would you give him?
thank you again.
kimberley*
Click here to see answer by Earlsdon(6294) |
Question 58579: Hello, I am just wondering if someone could please please help find the solution to my problem;
the question is: A manager from a candy store mixed two different kinds of candy together, mint candy and cinnamon candy. The cinnamon candy cost 2,40/kg.
The mint candy cost 1,80/kg. The new mix cost 2,16$/kg. The manager makes 50kg
of the new mix. Determine the quantity of each type of candy that is necessary to be used in the new mixed.
Thank you so much for your help. i really appreciate it.
-kimberley
Click here to see answer by stanbon(75887) |
Question 58580: Hello.
Could someone please help me out with the following question thanks so much;
A local fitness club offers two different formulas to pay.
Formula A: monthly payments of 25$ plus another 2$ each time you visit
Formula B: 7$ each time you visit
A) determine the number of visites for each formula to be equal amounts.
B) What formula is cheaper for one month?
Explain your answer. 30 days is the number of months.
The equation i can up with is formula a: c= 2m+ 25
formula b: c=7m
I just cant seem to get it.
If you could please help me out i would greatly appreciate it
-kim
thank you again
Click here to see answer by uma(370) |
Question 58584: 144. Touchdown. Suppose at the kickoff of a football at the left side of the goal line and runs for a touchdown diagonally across the field. How many yards would he run? (A football field is 100 yard long and 160 feet wide.)
Click here to see answer by checkley71(8403) |
Question 58654: A car is traveling on a track that is perpenicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the river that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Click here to see answer by rcmcc(152) |
Question 58583: can someone help i can never figure out these work problems
74. Going skiing. Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then ho fast did each of them drive?
thank you in advance
Click here to see answer by ankor@dixie-net.com(22740) |
Question 58652: You must leave for campus in 10 minutes or you will be late for your Algebra test. Unfortunately, you are snowed in. You can shovel the entire driveway in 15 minutes. Your brother can do it in 20 minutes. If you shovel together, how long will it take to clear the driveway?
I keep trying to use the average time but I know it isn't correct.
15+20=35/2=17.5 minutes
Click here to see answer by ankor@dixie-net.com(22740) |
Question 58655: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 KM 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 ankor@dixie-net.com(22740) |
Question 58591: 104. Toxic pollutants.
The annual cost in dollars for removing P% of the toxic chemicals from a town’s water supply is given by the formula
C(p)= 5000,000/100-p
a. Use the accompanying graph to estimate the cost for removing 90% and 95% of the toxic chemicals.
b. Use the formula to determine the cost for removing 99.5% of the toxic chemical
c. What happens to the cost as the percentage of pollutants removes approaches 100%.
Click here to see answer by funmath(2933) |
Question 58757: 100. Sailboat speed. The sail area- displaced ratio S provides a measure of the sail power available to drive the boat. For a boat with a displacement of d pounds and a sail area A square feet
S=16Ad^-2/3
a. Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.
b. Solve the formula for d.
Click here to see answer by stanbon(75887) |
Question 58760: Playgrounds are sold for p dollars each. The monthly revenue rom the sale of the model is given by R = 0.08p^2 + 300p. Revenue is the product o the price "p" and the demand (quantity sold). What is an expression for the monthly demand? What is the monthly emand for this playground when the price is $3000.
Click here to see answer by stanbon(75887) |
Question 58760: Playgrounds are sold for p dollars each. The monthly revenue rom the sale of the model is given by R = 0.08p^2 + 300p. Revenue is the product o the price "p" and the demand (quantity sold). What is an expression for the monthly demand? What is the monthly emand for this playground when the price is $3000.
Click here to see answer by funmath(2933) |
Question 58756: Filling a tank. A water tank has an inlet pip and a drain pipe. a full tank can be emptied in 30 minutes if the drain is opened and as empty tank can be filled I 45 minutes with the inlet opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by stanbon(75887) |
Question 58814: please help me set up and solve. Thank You!
During summer vacation, Hector and Ann earned a total of $1088. Hector worked 8 days fewer than Ann and earned $2 per day less. Find the number of days he worked and the daily wage he made if the total number of days worked by both was 72.
Click here to see answer by Paul(988) |
Question 58821: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
This is what I have...Let x=original cost per student. Then 500/x is the original number of students. Five students failed to come. So first get the expression for the number of students that came from this information. Also, cost for each student that came increased by $5. So the x+5=new cost per student; and 500/(x+5) is the number of students that came. Set the two expressions that represent the number of that came equal and solve for x.
Click here to see answer by stanbon(75887) |
Question 58918: Two boys trading baseball cards agree that 6 Will Clark cards and 3 Jose Canseco cards are worth the same to them as 2 Nolan Ryan cards. They also agree that 9 Canseco cards are worth the same as 12 Clark cards plus 2 Ryan cards. How many Canseco cards have the same value to them as 2 Ryan cards.
Can someone help me set this one up and solve it? Thank you.
Click here to see answer by uma(370) |
Question 58873: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
This is what I have...Using distance formula d=rt (distance=rate x time) here.
Let x=Steve's speed (or rate). Using distance formula d=rt and solving for time, t=d/r. So since Steve's speed is x and distance is 600 miles, then Steve's time is 600/x. Steve's trip would have been 1 hour less if his speed was 20mph faster, or x+20. Distance is still 600 miles, so Steve's faster time would have been 600/(x+20). So the equation is to take the expression for Steve's actual time, subtract 1 from that, and set equal to his faster time. Solve for x.
Im stuck now
Click here to see answer by ankor@dixie-net.com(22740) |
Question 59026: . Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2-tagged bears. What is the conservationist estimate of the size of the bear population?
Click here to see answer by stanbon(75887) |
Question 59042: Radius of a sphere. The radius of a sphere is given by the formula
r=(0.75V/pi)^1/3 where V is its volume. Find the radius of a spherical tank that has a volume of 32pi/3 cubic centimeters.
Sorry I'm stuck with this one for a couple of days. Please help. Thanks
Click here to see answer by rcmcc(152) |
Question 59088: A ball is thrown straight up at an initial velocity of 53 feet per second. In the first 1.5 seconds, it travels 42 feet. The formula s= u+v t
---
2
represents the vertical distance s that an object travels in t seconds, where u represents the initail velocity of the object an dv represnts the velocity of the object at the end of t seconds. Find the velocity of the ball at the end of 1.5 seconds
Click here to see answer by funmath(2933) |
Question 59143: Hello. I hope that someone can help me out with this problem,
the question is three brick layers and four labour workers make 910$ a day. Ten brick layers and five labour workers make 1 850$.
A)find an equation for this problem, i cam up with
3x + 4y = 910
10x + 5y = 1850
i dont know if this is right, but if not can you help me find a better equation
b) Is there an advantage by eliminating one or the other variable first? Explain
c) how much does 1 brick layer make a day?
If you can help me out i would greatly appreciate it thank you so much
kim
Click here to see answer by xerxes0212(2) |
Question 59155: There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Sawz Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?
Click here to see answer by checkley71(8403) |
Question 59243: A coffee merchant has coffee beans that sells for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb. of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
Click here to see answer by venugopalramana(3286) |
Question 59298: Latisha noticed the same dimes,nickels,quarters,and half-dollars in her drawer.
The coins all total $12.60.
a)how many of each coin does she have?
b)the nickels and dimes total what amount?
c)the quarters and half-dollars total what amount?
Click here to see answer by checkley71(8403) |
Question 59355: Find an equation relating the variables for each situation described.
(1) z varies directly as b, and z = 4 when b = 16
(2) s2 varies inversely as s1, and s2= -2 when s1 = 1/2
(3) y varies jointly as a and b, and y = -24 when a = 9 and b = -4
(4) m varies directly as n and inversely as p, and p = -3 and m = 1 and n = 1/2
(5) The cost of pipe is directly proportional to its length. If 6 feet of pipe costs $40, find he cost of 10 feet of pipe.
(6) The intensity of light is inversely prorportional to the square of its distance from its origin. An intensity of 100 lumens is registered at a distance of 5 feet. What is the intensity of light registered at a distance of 10 feet?
Click here to see answer by funmath(2933) |
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