# 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

## Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

 Question 212106: Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he traveled. How much distance he covered if x = 45 Mph? Click here to see answer by drj(1380)

 Question 212107: Debbie plans on investing enough money so that she will have \$2000 at the end of two years. How much money will she have to invest now if her money will grow according to the following formula: 2000 = P (1.025)^4? Click here to see answer by drj(1380)

 Question 212104: What is the length of the diagonal of a rectangular bill board with sides of lengths 5 ft and 12 ft. Click here to see answer by nerdybill(6948)

 Question 212105: \$1500 is deposited every year in an account yielding 6% interest compounded annually, how much money will have been saved after 10 years? Click here to see answer by drj(1380)

 Question 212111: A glass fiber- optic extrusion machine produces 1.5 meters of fiber per minute. How many complete sections precisely 0.8765cm long can be cut from one day's (8 hour)production of the fiber? Click here to see answer by DRichardson(63)
 Question 212111: A glass fiber- optic extrusion machine produces 1.5 meters of fiber per minute. How many complete sections precisely 0.8765cm long can be cut from one day's (8 hour)production of the fiber? Click here to see answer by ankor@dixie-net.com(15622)

 Question 212103: A soccer ball is kicked straight up with an initial velocity of 32 ft. per second. Its height above the earth is given by s (t) = -16t2 + 32t, where,‘s’ is the height in ft. at any time, ‘t’ seconds. What is the maximum height reached by the ball? How long after it was thrown up the ball reaches its maximum height? Click here to see answer by nerdybill(6948)

 Question 212102: Find the x intercepts for the parabola y = x2 – 6x + 5. Find the vertex of the parabola y = - 2x2 + 8x + 4 Click here to see answer by drj(1380)

 Question 212142: Keleah 1 needs help to solve this Ancient history word problem. This problem is from the second century. Four numbers have a sum of 9900. The second exceeds the first by one-seventh of the first. The third exceeds the sum of the first two by 300. The fourth exceeds the sum of the first three by 300. Find the four numbers. Click here to see answer by Theo(3458)

 Question 212175: Ancient history. This problem is from the second century. Four numbers have a sum of 9900. The second exceeds the first by one-seventh of the first. The third exceeds the sum of the first two by 300. The fourth exceeds the sum of the first three by 300. Find the four numbers. Click here to see answer by checkley77(12569)
 Question 212175: Ancient history. This problem is from the second century. Four numbers have a sum of 9900. The second exceeds the first by one-seventh of the first. The third exceeds the sum of the first two by 300. The fourth exceeds the sum of the first three by 300. Find the four numbers. Click here to see answer by ankor@dixie-net.com(15622)

 Question 212402: Find two real numbers that have a sum of 6 and a product of 4. Click here to see answer by ankor@dixie-net.com(15622)

 Question 212506: Find two real numbers that have a sum of 6 and a product of 4. Click here to see answer by drj(1380)

 Question 212509: Ferdie was having a big party and he was excited. He had been practicing his opening lines all week and as soon as he he got to the part, 20 girls at the party left. There now remained 2 boys for each girl. A lot of the other boys thought the party was pathetic, so 20 of the boys also left. There were now 3 times as many girls as boys. How many boys and girls were at the party when Ferdie got there? Click here to see answer by stanbon(57214)

 Question 212434: QUESTION # 14 A SALES EXECUTIVE EARNS \$1000 PER MONTH PLUS 5% COMMISION ON THE AMOUNT OF SALES. THE EXECUTIVE'S GOAL IS TO EARN \$5000 PER MONTH. WHAT AMOUNT OF SALES WILL ENABLE THE EXECUTIVE TO EARN \$5000 OR MORE PER MONTH? Click here to see answer by checkley77(12569)

 Question 212433: QUESTION #22 A SILVERSMITH COMBINES 40 OZ OF PURE SILVER THAT COSTS \$8.00 PER OUNCE WITH 200 OZ OF A SILVER ALLOY THAT COSTS \$3.50 PER OUNCE. FIND THE SELLING PRICE OF THE MIXTURE. Click here to see answer by checkley77(12569)

 Question 212527: if bob can paint a garage in 3 hrs and bill paints a garage in 5 hrs, how long would it take to paint the garage if they work together? Click here to see answer by checkley77(12569)

 Question 212629: Find the dimensions of a rectangle whose length is 40 inches more than its width and whose perimeter is 300 inches. Click here to see answer by drj(1380)

 Question 212467: Let f(t)=t^2+4t+2. Find a value of t such that the average rate of change of f(t) from 0 to t equals 13 Click here to see answer by nerdybill(6948)

 Question 212387: An airplane is flying at a speed of 350mi/h at an altitude of one mile and passes directly over a radar station at time t=0. 1. Express the horiztonal distance d (in miles) that the plane has flown as a function of t (I got d=350t) Express the distance s between the plane and the radar station as a function of d. Please help. Click here to see answer by drj(1380)

 Question 212137: The population of a certain species of bird is limited by the type of habitat required for nesting. The population behaves according to the logistic growth model. Where T is measured in years. Find the intial bird population? n(t) = 6750/0.5 + 26e^-0.044t Click here to see answer by ankor@dixie-net.com(15622)

 Question 212751: q#21 translate and simplify "three less than twice the sum of a number and five" Click here to see answer by drj(1380)

 Question 212807: From a rational expressions and equations worksheet: Tried to answer. am I on the right track. Help solve completely. Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are \$2,500 for setup costs and \$3.00 to administer each test. a. Write an expression that gives the total cost to test x animals. C=2500+3x b. You can find the average cost per animal by dividing total costs by number of animals. Write the expression that gives the average cost per animal. c\x or 2500+3x/x c. Find the average cost per animal for 10 animals. 100 animals. 1,000 animals. 10 = \$253, 100 = \$28, 1,000 = \$5.50 d. As the number of animals tested increases, what happens to the average cost to test the animals? Would the average cost ever fall below \$3.00? If so, identify a value that supports your answer. If not, explain how you know. e. How many animals should be tested for the average cost to be \$5.00 per animal? Thank you! Click here to see answer by ankor@dixie-net.com(15622)

 Question 212852: I was wondering how I would punch this into the calculator to find the answer? Please help! Solve for x. Round to the nearest ten-thousandth. log (225x2) = 3.456 Click here to see answer by scott8148(6628)

 Question 212837: If the energy saved from one recycled aluminum-can will operate a standard television sets for 3 hours, how many aluminum cans would have to be recycled to furnish enough energy to operate 680 television sets for 4.5 hours per day for 1 week. Click here to see answer by josmiceli(9645)

 Question 212927: I need to solve this by factoring but can't seem to get it! Suppose the altitude of a rising hot air balloon is given by h=0.04t^2+2t where "t" is the time in seconds afer the balloon leaves the ground. How long will it take for the balloon to reach an altitude of 200 ft.? Thanks for the help! Click here to see answer by rapaljer(4667)

 Question 212932: I have solved the first part of the problem but need help with the second! Assume that a surveyor stands at the top of a mountain that is “h” feet tall. If the distance (in feet) that he can see is defined by d = 3200.2 SQRT(h), then answer the following. (a) How far can the surveyor see from the top of a 2000-foot mountain? (b) How tall is the mountain, if the surveyor can see 15 miles? (Note: 1 mile equals 5280 feet.) d=3200.2SQRT2000 d=3200.2(44.72 d=143117.29 ft Thanks for the help! Click here to see answer by Earlsdon(6287)

 Question 212934: Not sure if I did the calculations right. Can someone please check. The hydrogen ion concentration of milk is about 1.6 x 10^-7 moles per liter. Find the pH. pH = -log [H+] pH = -log[1.6 x 10^-7] pH = -(-7.204119983) pH = 7.2 The pH balance of the milk is 7.2 Click here to see answer by Earlsdon(6287)

 Question 213027: \$1500 is deposited every year in an account yielding 6% interest compounded annually, how much money will have been saved after 10 years? Click here to see answer by rfer(12644)

 Question 212806: This question is from a worksheet on Rational expressions and has 5 parts. I have tried to figure some parts. Am I correct? 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by 6000/200-2x a. What is the cost to remove 75% of the pollutant? 28.5 million b. What is the cost to remove 90 % of the pollutant? 28.2 million c. What is the cost to remove 99% of the pollutant? 28.02 million d. For what value is this equation undefined? e. Do the answers to sections a–d match your expectations? Why or why not? Thank you for the help. Click here to see answer by checkley77(12569)

 Question 213058: The sum of two numbers is 11 and their difference is 6. Find the numbers. Click here to see answer by nerdybill(6948)

 Question 212859: Problems A-C are complete, I need help with d and e. Please. Students in an english class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. The average score S(t), in percent, after t months was found to be given by S(t)=68-20log(t+1), t> or = to 0. a)What was the average score when they initially took the test, t=0? 68% b)What was the average score after 4 months? 54% And after 24months? 40% c)After what time t was the average score 50%? 6.9 months d) What upper limit might be placed on t? e) In practice, would this upper limit ever be enforced? Why? Click here to see answer by Edwin McCravy(8879)

 Question 213105: A hurricane strikes and a rural area is without food or water. Three crews arrive. One can dispense needed supplies in 13 hours, a second in 16 hours, and a third in 22 hours. How long will it take all three crews working together to dispense food and water? Click here to see answer by edjones(7569)

 Question 213128: \$1,500 is deposited every year in an account yielding 6% interest compounded annually. How much money will have been saved after 10 years? Click here to see answer by Edwin McCravy(8879)

 Question 213168: An "N-gauge" train model is created using a scale of 1:160 ft. If an actual train engine, the "K-4," an early tweintieth-century engine, is 45 feet long, what is the length of an "N-gauge" model of the engine in inches? Click here to see answer by rfer(12644)

 Question 213164: A toy airplane is 10 inches long. If the actual airplane is 75 feet long, find the scale of the model. Click here to see answer by rfer(12644)

 Question 213220: For 6 consecutive week, Connie lost the same amount of weight. Six weeks ago she weighed 145 pounds. Now she weighs 125 pounds. How many pounds did Connie lose each week? Click here to see answer by rfer(12644)

 Question 213211: Your weight is 100 pounds what is your mass in kilograms(use the conversion 2.2 lbs=1 kg) Click here to see answer by rfer(12644)

 Question 213215: Mr. Calvillo wants to enclose a rectangular area for a garden space of a given square footage. The length of the plot will vary inversely as the width. If he decides on a width of 18 feet, the garden will be 30 feet long. How long will a 45 foot wide garden be? Click here to see answer by rfer(12644)

 Question 213207: Assume that y varies directly as x. Find y when x=54 if y=1/4 when x=3/2. Click here to see answer by drj(1380)

 Question 213285: Todd has 48 words to spell for a puzzle. As an incentive, his mother offers to pay him 10 cents for each word he spells correctly, if Todd will pay her 6 cents for each word he spells incorrectly. If Todd makes \$1.92, how many words does he spell correctly? Click here to see answer by rapaljer(4667)

 Question 213294: I think i did this one correctly but i want to make sure since it is for a project in math class: An HMO pamphlet contains the following recommended weight for women: "Give yourself 100 lbs for the first 5 feet and 5 lbs for every inch over 5 feet tall." Under this description, what height corresponds to a recommended weight of 135 lbs? If an overweight woman (225 lbs and 5 feet 8 inches tall) plans on going on a diet in which she will lose 5 lbs every two weeks, how many weeks before she is back down to her recommended weight? I did 100=5 feet, 5 lbs for every inch over 35 lbs / 5 lbs = 7 inches 5 foot 7 inches for 135 lbs 5 foot = 100 lbs + (5lbsX 8) = 40 + 100 = 140 lbs for 5 foot 8 inches as the recommended weight for this lady 225 lbs needs to get to 140 lbs 225 lbs - 140 lbs = 85 lbs difference, the woman needs to lose 85 lbs 5/2 = 2.5 lbs every week lost 85 lbs / 2.5 lbs = 34 weeks I hope i got this right, i would appricate any feedback. Click here to see answer by rapaljer(4667)

 Question 213210: Assume that y varies inversely as x. If y=8 when x=2.5, find x when y=2. Click here to see answer by stanbon(57214)

 Question 213151: A large bucket holds 3 liters more than twice as much as a small bucket. It took 2 small bucket and 5 large buckets to fill a 63 liter tank. How much does a large bucket hold? Click here to see answer by gypsy1274(9)

 Question 213333: The sum of Mrs. Blakely's age and her daughter Karen's age is 53 years. In eight years, Mrs. Blakelywill be twice as old as Karen. How old is Karen now? Click here to see answer by josmiceli(9645)

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