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

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 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Question 187984: I have a question. A water slide is a straight ramp 25 m long that starts from the top of a tower 21 m high. Find the angle the slide forms with the tower (to the nearest degree). So, I'm not sure if I am even on the right track, but I used the Pythagorean Theorem to get the last side. I got 2 sqare root of 46. But I don't even know if that is right or if I need to use that. So, I still don't know how to find the angle of the slide with the tower. Thanks a lot for answering Click here to see answer by jojo14344(1513)

 Question 188176: "An urn contains 7 red marbles, 2 green marbles, and 5 black marbles. If a single marble is drawn from the urn, what is the probability that it is black?" I'm not sure how to solve this. Please explain it the best you can. Thank you :) Click here to see answer by Mathtut(3670)

 Question 188228: Can you help me with this question please? It's from a made up worksheet. Suppose that the width of a rectangle is 2 inches shorter than the length and that the perimeter of the rectangle is 80. Set up an equation for the perimeter involving only L, the length of the rectangle. Click here to see answer by nerdybill(7090)

 Question 188255: Sarah has grade of 99 and 69 on her first two tests. If she wants an average of at least 80 after her 3rd test, what score must she make on that test? Click here to see answer by checkley77(12569)

 Question 188338: A group of students contains the following: 18 who like math, 32 who like English, 25 like language, 3 who like all 3 subjects, 8 who like both math and English, 16 who like both English and language, and 7 who like both math and language. Everyone likes at least one subject. How many students are there in the overall group? Click here to see answer by solver91311(18785)

 Question 188208: 1. In 3 weeks a theater sold \$9500 worth of tickets per week. For each of the next 2 weeks, the theater sold \$7200 worth of tickets per week. What were the total ticket sales? In faction or decimal 2. Aline walked 3/4 mile to school. Dave walked .75 mile to school. Aline said she walked farther than Dave. Is she correct? Explain. Click here to see answer by edjones(7794)

 Question 188296: Can you help me solve this problem? Solve this equation algebraically to find the length of the rectangle. Find the width as well. The equation:2(L+L-2)=80 Length ______, Width ______ Thank You. Click here to see answer by dukesmart(20)

 Question 188337: 87% of all A's are B's. 3% of all B's are A's. There are 13 A's that are NOT B's. How many B's are not A's? PLEASE HELP! I AM STUCK! THANK YOU! Click here to see answer by solver91311(18785)

 Question 188335: Lisa sold 50% of her books, gave away 60% of those that were left, and then had 8 books left. How many books did he have to begin with? Click here to see answer by Mathtut(3670)

 Question 188482: find the coordinates of the vertex & y-intercept of the parabola y=x^2+4x Click here to see answer by Mathtut(3670)

 Question 188480: find the equation for the parabola with a vertex at (5,-3) and passes through (-5,-7) 1) y= ? 2) now, write the equation in the form of y=Ax^2+Bx+C Click here to see answer by Mathtut(3670)

 Question 188486: How many liters of a 20% alcohol solution and how many liters of a 50% alcohol solution must be mixed to produce 9 liters of a 30% alcohol solution? Click here to see answer by stanbon(60771)
 Question 188486: How many liters of a 20% alcohol solution and how many liters of a 50% alcohol solution must be mixed to produce 9 liters of a 30% alcohol solution? Click here to see answer by Mathtut(3670)

 Question 188488: find the vertex, x-intercept, and y-intercept of the parabola given by y=7x^2+21x-378 Click here to see answer by solver91311(18785)
 Question 188488: find the vertex, x-intercept, and y-intercept of the parabola given by y=7x^2+21x-378 Click here to see answer by stanbon(60771)

 Question 188487: find the vertex, x-intercept, and the y-intercept of the parabola given by Click here to see answer by solver91311(18785)

 Question 188520: An open box is made from a piece of cardboard 15 inches by 22 inches by cutting out squares from each corner. If the resulting bas has area of 110in(squared), what is the length of the sides of the squares? a) Draw and label a picture b) Find the length of the squares ************************************************************************** I've been trying to help my son who is in 11th grade, but I can't. The closest he came to coming to a solution is: 330-30x-44x+4x(squared)=110in(squared) (sorry I don't know where the "squared" character is on my keyboard Click here to see answer by Alan3354(34677)

 Question 188534: When the sum of a number and 10 is doubled the result is the same as 8 minus twice the number. find the unknown number. Click here to see answer by Mathtut(3670)

 Question 188555: find the LCM of 16 2 and 45 Click here to see answer by Starchaser(2)

 Question 188554: Country Food sells eggs in cartons of 8 and 12 eggs. This summer, they will introduce a carton with 16 eggs. Suppose Country Food would like to have the same number of eggs in each row of the three cartons. How many eggs will be in each row? Click here to see answer by Starchaser(2)

 Question 188515: Find the vertex, focus, and directrix of the parabola x^2=4y Click here to see answer by Mathtut(3670)

 Question 188514: A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located. If the dish is 10 feet across at its opening and 4 feet deep at its center, at what position should the receiver be placed? Click here to see answer by nerdybill(7090)

 Question 188706: Jamie filled her Toyota's gas tank and noted that the odometer red 82,803.6. After the next filling, the odometer read 83.034.6. It took 16.5 gal. to fill the tank. How many miles per gallon did the car get? Click here to see answer by checkley77(12569)

 Question 188727: the difference of two numbers is 6. Find their minimum product Click here to see answer by josmiceli(10616)

 Question 188726: the difference of two numbers is 6. Find their minimum product Click here to see answer by user_dude2008(1861)

 Question 188722: given that AUB=147 A=81, and B=66 find ANB. Click here to see answer by user_dude2008(1861)

 Question 188718: During a recent sale at a store, a dishwasher's price was reduced from 450 to 396. What was the rate of discount? Click here to see answer by stanbon(60771)

 Question 188687: will this pattern continue 39 x 41 = 40 x 40 - 1, 59 x 61 = 60 x 60 - 1 Click here to see answer by Edwin McCravy(9717)

 Question 188850: A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard. thanks Click here to see answer by scott8148(6628)
 Question 188850: A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard. thanks Click here to see answer by ankor@dixie-net.com(16523)

 Question 189049: A rectangle is 4 times as long as it is wide. A second rectabgle is 5 centimeters longer and 2 centimeters wider than the first. The area of the second rectangle is 270 square centimeters greater than the first. What are the dimensions of the original rectangle? Click here to see answer by solver91311(18785)

 Question 189108: In a pool at a water park, a dolphin jumps out of the water traveling at 20 feet per second. Its height "h", in feet, above the water after "t" seconds is given by the formula h=20t-16t^2. How long is the dolphin in the air before returning to the water? Help. and Thank you. Click here to see answer by ankor@dixie-net.com(16523)

 Question 189105: Seven more than a number is equal to five less than twice the number. Find the number. Click here to see answer by Mathtut(3670)

 Question 189111: Christiana's birthday is four more than three times Rolando's birthday. Monique's birthday is one more than three times Rolando's. If they all add up to 54, what are their birthdays? Click here to see answer by jonvaliente(64)

 Question 189170: Mr. Wise bought \$1950 worth of stock, some at \$3.00 per share and some at \$4.50 per share. If he bought a total of 450 shares of stock, how many of each did he buy? I have tried to arrange this problem several ways and I still can't come up with the correct answer. I am probably just overthinking it. Can you please show the work you use to obtain the answer so I can see what I'm doing wrong in the set up? Thanks, Kim Click here to see answer by jonvaliente(64)

 Question 189179: #82 Sports You throw a baseball straight up into the air at a velocity of 45 feet per second. You release the baseball at a height of 5.5 feet and catch it when it falls back to a height of 6 feet. a. Use the position equation to write a mathematical model for the height of the baseball. b. Find the height of the baseball after 0.5 seconds. c. How many seconds is the baseball in the air? Use a graphing utility to verify your answer. Click here to see answer by Alan3354(34677)

 Question 189204: I have tried to work these problems different ways and can not come up with the correct answer. Any help would be great! Thanks! 1) Find three consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest. 2) Find three consecutive odd integers such that the sum of all three is 36 less than the product of the smaller two. Click here to see answer by jonvaliente(64)
 Question 189204: I have tried to work these problems different ways and can not come up with the correct answer. Any help would be great! Thanks! 1) Find three consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest. 2) Find three consecutive odd integers such that the sum of all three is 36 less than the product of the smaller two. Click here to see answer by josmiceli(10616)

 Question 189268: I need help ASAP its for a test... please and thank you Susan invested \$5000.00 at 10% compounded semiannually. In how many years will Susan's investment have tripled? Round your answers to the nearest tenth of a year. A) 11.3 years B) 11.0 years C) 1.3 years D) 6.9 years Click here to see answer by Mathtut(3670)

 Question 189397: i have no clue how to work these find coordinates of the vertex and the equation of the directrix of the parabola (x-6)^2= -12(y+2) thanks Click here to see answer by stanbon(60771)

 Question 189383: I have a friend named Ed, he and his four friends are having ice cream. There are only three flavors available at the ice cream store, chocolate, vanilla strawberry. One of Ed's friends, Stacey eats chocolate exclusively. How many different kinds of cones can they make? They may have onely single, doubles, and triples. Create one or molre number sentences that would support your conclusions. Order matters, a cone with vanilla with strawberry on top is different than a strawberry cone with vanilla on top. Click here to see answer by Edwin McCravy(9717)