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

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Question 180097: The force of the wind blowing on a verticle surface varies jointly as the area of the surface and the square of the velocity. If a wind blowing at 50 miles per hour exerts a force of 75 pounds on a surface of 500 ft squared, how much force will a wind of 75 mph place on a surface of 10 ft squared.

10 ft squared means 10 ft^ i think.
500 ft squared means 500 ft^.

Click here to see answer by stanbon(75887)

Question 180130: Simplify -(8a^3/27)-4/3 (this is an exponent-4/3)(so is the three)This problem isnt' in a book! please help!
Click here to see answer by jim_thompson5910(35256)

Question 180130: Simplify -(8a^3/27)-4/3 (this is an exponent-4/3)(so is the three)This problem isnt' in a book! please help!
Click here to see answer by josmiceli(19441)

Question 180093: WalMart found that the demand for Coke products varies inversely as the price of the product. When the price of a coke product is $2.75, the weekly demand is 1250. Find the weekly demand if the price is raised to $4.00.
Click here to see answer by ankor@dixie-net.com(22740)

Question 180235: Consider the set of northwestern states or provinces (Montana, Washington, Idaho, Oregon, Alaska, British Columbia, Alberta). If a person chooses one element, show that in three yes or no questions, we can determine the element.
Click here to see answer by stanbon(75887)

Question 180193: Solve this Variation Problem
The volume of a can varies jointly as the heights of the can and the square of its radius. A can with an 8 inch height and 4 inch radius has a volume of 402.12in^3. What is the volume of a can that has a 2 inch radius and a 10 inch height?
Click here to see answer by ankor@dixie-net.com(22740)

Question 180257: 26) If the sides of a dinning room are 21 feet by 18 feet, what is the length of the diagonal?

27) I have 60 inches of width and have 48 inches of height in my entertainment center. I am going HDTV shopping, what is the biggest diagonal TV that I can get?
Thanks a Million

Click here to see answer by solver91311(24713)

Question 180317: A cylindrical water tank has a base with a diameter of 2 ft and is 4 ft tall. How many gallons of water will the tank hold? (1 cubic foot equals 7.5 gallons)
Click here to see answer by nerdybill(7384)

Question 180314: Find the volume of a sphere that has a diameter of 9 meters.
Click here to see answer by nerdybill(7384)

Question 180267: What are the three different names for a point. This is not from a textbook. I would appreciate it if you answered my question. Thanks!
Click here to see answer by Mathtut(3670)

Question 180318: a) Find the area of a trapezoid with a height of 9 m and bases of 7 m and 25 m
b) Find the perimeter of a parallelogram with sides measuring 6.5 m and 3.5 m

Click here to see answer by HyperBrain(694)

Question 180304: two numbers have a difference of 16. find the numbers if the result of adding their sum and their product is a minimum.
Click here to see answer by josmiceli(19441)

Question 180352: The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currentlyin the club?
Click here to see answer by Mathtut(3670)

Question 180466: Trinidadhas $2.35 in nickels and dimes. if she has 33 coins in all , find the number of nickels and dimes.
Click here to see answer by stanbon(75887)

Question 180466: Trinidadhas $2.35 in nickels and dimes. if she has 33 coins in all , find the number of nickels and dimes.
Click here to see answer by Mathtut(3670)

Question 180468: What are 3 different names for a point? I know two of them are coordinate, and ordered pair but I don't know the third one!
Click here to see answer by Mathtut(3670)

Question 180469: Lisa and Ted agree to meet at the construction site located 100 miles from Norwood on the 300 mile highway connecting Norwood to Huntsville. Lisa leaves Huntsville at noon while Ted departs from Norwood one hour later. If they arrive at the construction site simotaniously and Lisa's driving speed averaged 10mph faster than Ted's, than how fast did she drive?
Click here to see answer by Mathtut(3670)

Question 180454: Two trucks haul 126 m^3 of sand each taking 7 loads. They can move 138m^3 if one truck takes 11 loads and the other truck takes 5 loads. Find the capacity of each truck?
Click here to see answer by ankor@dixie-net.com(22740)

Question 178253: The subway fare in a city is $1.55. People who use the subway may buy a monthly coupon book for $12.00. With the coupon book, the fare decreases to $.95. Determine the number of fares in a month the subway must be used such that the total monthly cost without the coupon book is equal to the total monthly cost with the coupon book.
Click here to see answer by MathTherapy(10549)

Question 180547: Find the perimeter and area of a right triangle if the shortest side is 9cm and the longest side is 15cm.
Can you explain please...
Click here to see answer by edjones(8007)

Question 180474: if you have 1-42 range.what are the possible 6 digit number combination that you can have?note:numbers should not be repeated in every combination.tell all the possible combination.

Click here to see answer by edjones(8007)

Question 180604: Variation Problem
A persons level of fatness is measured using the Body Mass Index, or BMI. A BMI ( rounded to the nearest whole number) in the low 20's is desirable. BMI varies directly a a persons weight in pounds and inversely as the square of the person height in inches. A person who weights 140 pounds and is 70 inches tall has a BMI of 20. Find the BMI of a person who weights 165 pounds and is 71 inches tall.
Click here to see answer by Mathtut(3670)

Question 180630: Cost Equation
Use the cost equation to find the number of units (x) that a manufacturer can produce for the cost (C). Round your answer to the nearest positive integer.
C= 0.5x^2 + 15x + 5000 C=$11,500
I have been stuck on this question for a couple days now. Can you please help me? I don't even know where to start!Thanks!
Click here to see answer by Fombitz(32388)

Question 180623: A square and a circle have equal areas. Which shape has shorter perimeter?
Click here to see answer by Fombitz(32388)

Question 180636: Height of a Projectile
A projectile is fired straight upward from ground level with an initial velocity of 128 feet per second. During what time period will its height be less that 128 feet?
Please help me with this. Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 180720: Jenny was given some money to buy either the reference books or the assessment books. With the same amount of money, she could buy 5 more assessment books than if she chose to buy the reference books. Each reference book cost $8 and each assessment book cost $4. How much did she pay for the books.

(I use Guest & Check - answer is $40. but my teacher want me to find anothe method. pls help.)

Click here to see answer by vleith(2983)

Question 180633: Falling Objects
Given:
(object height in feet)= -16t+(initial velocity)*(time in seconds)+(initial height in feet)
If a rock were thrown on the surface of Earth with an intial velocity of 27 feet per second from an initial height of 6 feet, would it take a longer or shorter period of time to reach the ground than it would on the surface of the moon? Use the Quadratic Formula to find the actual time that the rock would remain in the air.
I am very confused. There is so much information it is overwhelming. Can you please help me set it up and solve? Thanks!
Click here to see answer by nerdybill(7384)

Question 180750: How many different four-digit numbers can be formed from the digits 0 through 9 if the first digit must be even and cannot be zero?
Click here to see answer by stanbon(75887)

Question 180747: The last 40 violent crimes committed in Sconeville were 2 homicides, 25 robberies, and 13 assaults. What is the empirical probability that the next violent crime committed in Sconeville will be a robbery?
Click here to see answer by stanbon(75887)

Question 180759: A couple plan to have exactly three children.
(a) Construct a tree diagram and list the sample space.
(b) Find the probability that the family has at least two girls

Click here to see answer by stanbon(75887)

Question 180745: ) One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is not a spade.
Click here to see answer by stanbon(75887)

Question 180797: A jar contains 5 yellow marbles, 16 green marbles, and 8 black marbles. If one marble is selected at random, what is the probability that it is not green?
Click here to see answer by user_dude2008(1862)

Question 180796: If you roll a die many times, what would you expect to be the relative frequency of rolling a number less than 6?
A) 2 out of 3 B) 1 out of 3 C) 1 out of 6 D) 1 out of 2 E) 5 out of 6

Click here to see answer by stanbon(75887)

Question 180795: During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
Click here to see answer by stanbon(75887)

Question 180804: Solve the Variation Problem
The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per second. Find the frequency of a 5 foot string.
Click here to see answer by eperette(173)

Question 180813: Solve Variation Problem
The cost of pipe at Home Depo varies jointly as the length and
diameter of the pipe. If 20 feet of 0.5 inch diameter pipe
costs $36.60, then what is the cost of 12 feet of 0.75 inch
diameter pipe?
Click here to see answer by stanbon(75887)

Question 180835: one number is twice another. the sum of two numbers is 39. find the larger number.
Click here to see answer by Mathtut(3670)

Question 180824: Solve the Variation Problem
THe force of the wind blowing on a vertical surface varies
jointly as the area of the surface and the square of the velocity.
If a wind blowing at 50 mph exerts a force of 75 pounds on a
surface of 500 ft^2, how much force will a wind of 75 mph place
on a surface of 10 ft^2?
Click here to see answer by EMStelley(208)

Question 180869: I have 60 inches of width and have 48 inches of height in my entertainment center. I am going HDTV shopping, what is the biggest diagonal TV that I can get?

Click here to see answer by Alan3354(69443)

Question 180862: With a 12 gallon tank, a Jupiter gets 22 mi/gal. Engineers estimate that every 2 gallon increase in tank size causes gas mileage to decrease by 1 mi/gal. What should the size of the tank be for the Jupiter to have the greatest range (number of miles on a tank of gas)?

Click here to see answer by kev82(151)

Question 180886: The odds against Thunderbolt winning the Sarasota Derby are 9: 2. Find the probability that Thunderbolt wins.
A) 9/20 B) 11/20 C) 9/11 D) 2/11 E) 2/9

Click here to see answer by user_dude2008(1862)

Question 180888: Two balls are to be selected without replacement from a bag containing one red, one blue, one green, one yellow, and one black ball. How many points are there in the sample space?
Click here to see answer by stanbon(75887)

Question 180887: 1000 tickets for prizes are sold for $2 each. Seven prizes will be awarded � one for $400, one for $200, and five for $50. Steven purchases one of the tickets.
a) Find the expected value
b) Find the fair price of the ticket.

Click here to see answer by edjones(8007)

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