Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 571560: Imagine that you are in the market to purchase a new home. The sales representative informs you that there are 56 houses available with two differant floor plans. use x to represent floor plan 1 and y to represent floor plan 2 to create an equation that illustrates this situation if there are three times as many homes available with floor plan 2 than floor plan 1. I do not understand if I am doing it correctly when I make the equation
x+3y=56 ???
Click here to see answer by nerdybill(5404)

Question 571547: it takes bob the boy scout 10 hours to paddle upstream against the current a distance of 15 miles. when he turn around he finds it only takes him 5 hours to 'paddle 22.5 miles with current. how fast is bob's boat going in still water and what is the speed of the current of the river?
Click here to see answer by stanbon(48516)

Question 571497: hey i really need some help with this question i have been trying for hours and still can't get it
one number is nine less than twice another, and their sum is 42. find the two numbers
thanks
Click here to see answer by mananth(10541)

Question 571508: hey can you please help me with this question
$540 is divided among three people. a,b,c, so that a gets three times as much as c, and b gets twice as much as c. how much does c get?
thanks
Click here to see answer by josmiceli(6777)

Question 571510: hey, would you please be able to help me with the following question
a student runs three times as fast as she walks. she walked for 3 hours and ran for 2 hours and altogether went 36km. what was her speed of walking
thanks
Click here to see answer by reviewermath(39)

Question 571275: "The sum of the digits of a two-digit number greater than 50 is 12. The difference between the digits is 4. Find the two-digit number."
Click here to see answer by lwsshak3(2915)

Question 571115: The length of a rectangle is fixed at 12 cm. What widths will make the perimeter greater than 86 cm?
The width must be greater the ___ cm.
Click here to see answer by mananth(10541)

Question 570951: A 5-ft-long stem of bamboo is broken in such a way that its tip touches the ground 3 ft from the base of the stem, as shown in the figure. What is the height of the break
Click here to see answer by nerdybill(5403)

Question 570848: If 3 inches of rain fell in 5 hours, how many inches fell per hour?
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Question 570210: A stadium has 30,000 seats. The home teams gets four times as many tickets as the opposing team. What are the linear equations and how many tickets does each team get?
Click here to see answer by josmiceli(6777)

Question 570074: A jar of coins has quarters, nickels, and dimes. The total number of coins is 100. The total value of coins is $10.50. How many coins of each are in the jar?
This is what I have so far:
q + n + d = 100
.25q + .05n + .1d = 10.50
n = 100 - q - d
.25q + .05(100-q-d) + .1d = 10.50
.30q - .05d = 5.50
This is where I am stuck, Help! Thank you.

Click here to see answer by stanbon(48516)

Question 569971: 2 3/4% of what number of gallons is 52.25 gallons?
Click here to see answer by rfer(10417)

Question 569523: 24 is divided in two parts such that 7 time the frist part added to 5 times the second part makes 146. the first part is :?
Click here to see answer by KMST(578)

Question 569581: Denise is selling roses. She sold 3 for $5 and 5 for $7. What will Denise
charge for 12 roses if she keeps selling roses at the same rate ?
Click here to see answer by JBarnum(1826)

Question 569200: An MP3 player costs $40. The sales tax is $2.40. What is the percent of sales tax?

Click here to see answer by Alan3354(21554)

Question 569118: Given p is false, q is true, and r is true, find the truth value of the statement (p V ~q) ↔ ~r.
Show step by step work.
What in the world is truth value and how do I prove it?
Click here to see answer by jim_thompson5910(21667)

Question 568976: Construct a truth table for (p ^ q) -> ~q Be sure to include all intermediate steps on your table.
Because this has no assigned statements to it, I am confused as to how I would solve this.
Click here to see answer by Theo(2967)

Question 568947: kim want to complete 2/3 of algebra problems by 8pm. if she has x algrebra problems to complete, which inequality can she use to determine y, the number of algebra problems she wants to complete by 8pm?
Click here to see answer by Theo(2967)

Question 568695: t would cost 78.85 to buy three tickets in japan plus two tickets in switzerland. three tickets in switzerland plus two tickets in japan would cost 74.80. how much does an average movie ticket cost in each of these countries
Click here to see answer by mananth(10541)

Question 568352: p: The house is owned by an engineer
q: The heat is solar generated
r: The car is run by electric power
Translate the statement into symbols, then construct a truth table and determine under what conditions the compound statement is true.
The house is owned by an engineer and the heat is solar generated, or the car is run by electric power.
I've gotten the first two columns down for the table
p q
1 t t
2 t t
3 t f
4 t f
5 f t
6 f t
7 f f
8 f f
Not sure how to continue or to label.

Click here to see answer by stanbon(48516)

Question 568307: a painter can finish painting a house in 8 hours. Her assistant takes 10 hours to finish the same job. how long would it take for them to complete the job if they were working together?
Click here to see answer by nerdybill(5403)

Question 568304: given f(x)=2x^2-3x+5, find f(3), f(0), and f(-1)
Click here to see answer by TutorDelphia(189)

Question 567833: x+y=1 and 2x-y=-2
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Question 567833: x+y=1 and 2x-y=-2
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Question 567631: In a chemistry class, 4 liters of a 4% silve iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?
Click here to see answer by ankor@dixie-net.com(12684)

Question 567597: 1.A candy manufacturer has two grades of candy, selling at 75 cents and 90 cents a pound respectively. How many pounds of each must he use to make mixture of 150 pounds, to sell at 75 cents a pound? please, show your step by step solution..
2. A tobacconist wishes to blend two grades of tobacco, costing 8 cents an ounce and 10 cents an ounce respectively, and to sell the mixture at 12 cents an ounce with a profit of 25 per cent of the cost.How many ounces of each kind must he used to the pound ? ( 1 lb. = 16 oz.)
3. A fruit dealer sold 9 dozen lemons and 16 dozen oranges for $17.40.The following day he sold, at the same prices, 11 dozens lemons and 20 dozens oranges for $21.60. Find the prices of his lemons and oranges.

Click here to see answer by mananth(10541)

Question 567231: A pot contains 2 L of brine at a concentration of 100 g/L. How much of the water should be boiled off to increase the concentration to 200 g/L?
Click here to see answer by ankor@dixie-net.com(12684)

Question 567468: The local train is 25 miles down the track from the Central Station when the express leaves he station.The local train travels at a rate of 50 mi/hr and the express train travels at a rate of 80 mi/hr.Let n represent the number of hours since the express train left Central Station.
a.Write an expression that represents the express train's distance from Central Station in n hours.
b.When will the express train catch up with the local train?
Click here to see answer by stanbon(48516)

Question 567295: if c equals degree celsius and f equals degree Fahrenheit ,assume that the relationship between the two temprature scales is linear and is being graphed with f on vertical axis.two data points on the line relating c and f are (5,41)and (25,77).using the points to find slope intercept equation which allow transformation from Celsius temperature to equivalent Fahrenheit temperature. Identify and intercept the meaning of the slope, c intercept , and f intercept
Click here to see answer by Alan3354(21554)

Question 567146: The height, h (in feet), of a falling object on Mars is given by h=-6t2+s , where t is the time in seconds and s is the initial height in feet. If an object were dropped from a height of 125 feet, how long would it take to travel half the distance to the ground?
Click here to see answer by josmiceli(6777)

Question 566971: Keith has $265 in $5 bills and $10 bills. He has 37 bills in all. How many of each kind does he have?

Can you show me how to get the answer?
Click here to see answer by solver91311(12118)

Question 566561: emily and Camille started from the same city and drove in opposite directions on the freeway. After 3 hours they were 354 miles apart. If they had gone in the same direction, Emily would have been 18 miles ahead of Camille. How fast did each woman drive?
Click here to see answer by stanbon(48516)

Question 566008: A man borrowed rs. 35000 for one-year. One part of it was taken at the rate of 12% p.a. And the remaining part at the rate of 14% p.a. (simple interest). If he had to pay rs. 4460 as interest, then find the two parts which were borrowed at different rates.
Click here to see answer by mananth(10541)

Question 565965: A pot contains 4 L of brine at a concentration of 80 g/L. How much of the water should be boiled off to increase the concentration to 200 g/L?
Click here to see answer by lwsshak3(2915)

Question 565799: one half of eight pets are cats. How many are cats?
Click here to see answer by ad_alta(170)

Question 565493: Mrs.Martin bought 3 cups of coffee and 2 bagels and spent $12.75. Mr.Martin bought 2 cups of coffee and 5 bagels and spent $14.00. Write a system of equations that will allow you to find the cost of one cup of coffee and the cost of one bagel.
Click here to see answer by ad_alta(170)

Question 565329: A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 15 minutes and then rows downstream, returning to his starting point in another 10 minutes. Find the rate of the current. Find the total distance traveled.
Click here to see answer by mananth(10541)

Question 565054: Acme parts can produce padiator seal kit for $7.50 with fixed set-up costs of $395. They plan to market the radiator seal kits for $22.95. Find the linear cost function
Click here to see answer by KMST(578)

Question 565149: I am helping my daughter with her homework & I caanot remember how to do these. This is how the problem reads:
A telephone booth that is 8feet tall casts a shadow that is 4 feet long. Find the height of a lawn ornament that casts a 2 feet shadow.
Click here to see answer by jim_thompson5910(21667)

Question 565086: Find the present value that will give a future value of $9,280 at 9.75 % compounded monthly for 2 years and 3 months.
Click here to see answer by Edwin McCravy(6931)

Question 565011: A van travels for two hours at an average speed of 40 miles per hour. For how long must the van then travel at an average speed of 55 miles per hour to raise the overall average speed to 45 miles per hour? What is the total time traveled?
Click here to see answer by stanbon(48516)

Question 564632: One number is 11 more than 3 times another number. Their sum is 55. Find the SMALLER number.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345