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

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Question 208027: in 3 years,alex will be 3 times as old as his sister precy,a year ago alex was 7 times as old as precy.how old are they now

Click here to see answer by Theo(13342) About Me 

Question 208072: a rectangle is 8 feet longer than it is wide and has an area of 2900 feet squared. What are its dimensions?
Click here to see answer by checkley77(12844) About Me 

Question 208142: Please help, need to solve word problem that involve linear equation and formula. Is it possible to show this step by step.
A student is pricing two different picture packages. John's Photo World charges $2.75 per sheet and a one time sitting fee of $125. Sam's Picture Emporium charges $1.50 per sheet and a one time sitting fee of $140. For how many sheets of pictures do the two companies charge the same amount?
Thank you for any help you provide.

Click here to see answer by rfer(16322) About Me 

Question 208178: 1. A company finds that it can produce 10 solar heaters for $7500 while the production of 20 heaters costs $13,900. If cost is a linear function of the number of heaters produced, express the cost function C(x) where x is the number of heaters produced.
Click here to see answer by nerdybill(7384) About Me 

Question 208212: SOLVE USING DETERMINANTS and CRAMER'S RULE
A coin collector has 41 coins consisting of nickels, dimes and quarters and they are worth a total of $4.00. If the number of dimes plus the number of quarters is one more than the number of nickels, then how many of each does he have ?

REQUIRED: Find the number of quarters, dimes and nickels.

Click here to see answer by pjalgeb(9) About Me 

Question 208211: SOLVE USING DETERMINANTS and CRAMER'S RULE
Three kilos of homegrown tobacco and 8 kilos of imported tobacco cost $39.70 ,and 5 kilos of homegrown tobacco and 6 kilos of imported tobacco cost $47.10. What is the cost per kilo for both kinds of tobacco?

Click here to see answer by pjalgeb(9) About Me 

Question 208210: SOLVE USING DETERMINANTS and CRAMER'S RULE
A team of rowers can row 4 kilometers downstream in 8 minutes, but it takes 12 minutes for the team to row the same distance upstream. How fast can the team row in still water, and what is the rate of the current?

Click here to see answer by pjalgeb(9) About Me 

Question 208260: You have a four digit number where the thousands digit is four greater than the hundreds digit. The tens digit is twice the thousands digit. The ones digit is half of the thousands digit. What is the number?
How would you set up this type of problem and what is the equation for it.

Click here to see answer by jsmallt9(3759) About Me 
Question 208260: You have a four digit number where the thousands digit is four greater than the hundreds digit. The tens digit is twice the thousands digit. The ones digit is half of the thousands digit. What is the number?
How would you set up this type of problem and what is the equation for it.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 209082: a box for shipping roofing nails must have a volume of 84 cubic feet. if the box must be 3 feet wide and its height must be 3 feet less then its length,what should the dimensions of the box be?
Click here to see answer by RAY100(1637) About Me 

Question 209390: If 8 people can pack 60 cartons in 2 hours how many carton will 3 people pack in 2 hours
Click here to see answer by stanbon(75887) About Me 

Question 209551: I need to translate this problem into an equation.

Since the beginning of the month, a local reservoir has been losing water at a constant rate.
On the 13th of the month the reservoir held 454 million gallons of water, and on the 21st it held only 191 million gallons.
How much water was in the reservoir on the 10th of the month?

Click here to see answer by stanbon(75887) About Me 

Question 209562: a canned juice drink is 15% ans anouther juice is 5%
How many liters of each would it take to make it 10L that is 13% juice?

Click here to see answer by stanbon(75887) About Me 

Question 209936: A pump removes 1000 gal of water from a pool at a constant rate of 50 gal/min.
a. write an equation to find the amount of water y in the pool after t minutes
b. Graph the equation and interpret the t and y intercepts

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 210027: Talent show tickets are $3 for adults and $2 for students. Ticket sales of at least $600 are needed. At least 5 times as many students as adults attended. Write a system of equations to find the number of adult and student tickets that needed to be sold. Let x represent the number of adult tickets and y represent the number of student tickets. How many of each type of ticket needs to be sold?
600 = 3x + 2y
5x+x= y
6x= y

600 = 3x + 2( 6x)
600 = 15x
40 = x
6x= y
6(40)= y
240= y

600 = 3x + 2y
600 = 3(40)+ 2(240)
600 = 120 + 480
600 = 600

x=40
y=240

Click here to see answer by silencehurts(5) About Me 

Question 210106: The formula s = 16t2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to the nearest tenth.)
A branch of a tree hangs 575 ft above the soil. If a twig breaks off, how long will it take it, falling freely, to reach the soil?

Click here to see answer by Earlsdon(6294) About Me 

Question 210061: together, two printers can print 7500 lines if the first printer prints for 2 minutes and the second prints for 1 minute. If the first prints for 1 minute and the second prints for 2 minute, they can print 9000 lines together. Find the number of lines per minute that each printer prints.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 210136: a plane flies with a ground speed of 160 miles per hour if there is no wind. it travels 350 miles with a head wind and in the same time it takes to go 450miles with a tail wind.find the speed of the wind.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 210152: find the inverse of y=x^2/10. then state whether the inverse is a function.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 210049: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling 60mph, Train B traveling at 64mph. Train A passes by the station at 4:15am and train B passes the same station at 4:45am, at what time will the train B catch up to train A?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 210052: Find the domain of the function
p(x)=x^2-2x+1
What is the domain?

Click here to see answer by HyperBrain(694) About Me 

Question 210357: Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlights ordered was five times the number of sleeping bags. The flashlights cost $12 each and the sleeping bags cost $45 each. If the total cost for the flashlights and sleeping bags was $1785, how many flashlights and how many sleeping bags did Juanita and Keenan order?
Click here to see answer by Earlsdon(6294) About Me 

Question 210425: Please Help
80% of what number is 40?

Click here to see answer by tutor_paul(519) About Me 

Question 210423: I need help to solve
Amy paid $55.28 for a pair of running shoes during a sale, she recieved 15% off. What was the regular price of the shoes?

Click here to see answer by scott8148(6628) About Me 

Question 210076: Suppose wheat and sugar are the two basic ingredients necessary to bake two items: a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar. To bake each muffin, the baker needs 0.4 pound of wheat and 0.16 pound of sugar.
Set up the inequalities representing the baker’s possible choices for baking the number of loaves of bread and muffins to use up his available resources (wheat and sugar).

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 210054: Soybean meal is 12% protein, cornmeal is 6% proteins. how many pounds of each should be mixed together in order to get 240lb mixture that is 9% proteins.
How many pounds of cornmeal?
How many pounds of soybean?

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 210054: Soybean meal is 12% protein, cornmeal is 6% proteins. how many pounds of each should be mixed together in order to get 240lb mixture that is 9% proteins.
How many pounds of cornmeal?
How many pounds of soybean?

Click here to see answer by josmiceli(19441) About Me 

Question 210051: The width of a rectangle is fixed at 16cm. What lengths will make the perimetergreater than 78cm?
The length must be greater than ____cm.

Click here to see answer by Earlsdon(6294) About Me 

Question 210726: A catering company is setting up tables for a big event that will host 764 people. When they set up the tables they need 2 forks for each child and 5 forks for each adult. If the company ordered a total of 2992 forks, how many adults and how many children will be attending the event?
Click here to see answer by stanbon(75887) About Me 

Question 210715: What is the smallest root of the polynomial:
x^3-10x^2+27x-18

Click here to see answer by stanbon(75887) About Me 

Question 210725: Lakota bought 6 new compact disks and 2 used compact disks for $127.92. At the same prices, Mackenzie bought 3 new compact disks and 8 used compact disks for $133.89. Find the cost of buying a single used compact disk.
Click here to see answer by algebrapro18(249) About Me 

Question 210935: A vendor has learned that by pricing hot dogs at $1.00, sales will reach 135 hot dogs per day. Raising the price to $1.60 causes sales to fall to 105 hot dogs per day. Let y be the number of hot dogs the vendor sells when they're priced at x dollars. Write a linear equation that models sales as a function of price.
Guidelines:
1. What two 'points' (x-value, y-value pairs) are we given?
2. What is the slope of the line connecting these points?
3. Use the formula:
y – {some point's y-value} = m * ( x - {some point's x-value} ) to derive the equation
(note: some point's y-value and some point's x-value must be the respective x and y values of the same point)



Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 211052: Having lots of trouble mapping this out. Please help.
If 4.1% of the population of Finland lives to the age of 90, what is the probability that of 1000 Finlandians:
a) between 30 and 40 will live to be 90 years old?
b) more than 80 of them will live to be 90 years old?
c) less than 20 of them will like to be 90 years old?

Click here to see answer by stanbon(75887) About Me 

Question 211051: Can anyone help me with the below word problem. Is it standard deviation?
The weights of the full-grown adult male South American tapir are normally distributed with a mean of 525 pounds and a standard deviation of 35 pounds. What is the probability that
a) A randomly selected full-grown adult male tapir weighs at least 550 pounds?
b) A randomly selected full-grown adult male tapir weighs less than 450 pounds?

Click here to see answer by stanbon(75887) About Me 

Question 211142: 1)twice the sum of a number and eleven is twenty-two less than three times the nmber. find the number.
2)the sum of three consecutive even integers is 66 find the integers.
3) the perimeter of a triangle is 96 in. The lengths of the sides are represented by consecutive integars. find the measures of the sides.
4)the sum of three consecutive odd integars is 89 more than twice the largest integar. find the integars.
thank you for your help

Click here to see answer by Alan3354(69443) About Me 

Question 211193: At how many minutes after 3:00 p.m. will the hands of a clock be perpendicular for the second time?
Click here to see answer by rfer(16322) About Me 

Question 211323: 1. The sum of 12 and the quantity 8 times a number k is equal to 48
2. The product of 9 and the quantity 5 more then a number t is less then 6

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 211342: Juan has coffee that sells for $9 a pound and a coffee selling for $4 a pound. How many pounds of each must be mixed to get 20 pounds of a coffee worth $8.25 a pound?
Click here to see answer by Earlsdon(6294) About Me 

Question 211376: a piece of wire 4m long is cut into two pieces so that one piece is two thirds as long as the other. Find the length of the other piece...
Click here to see answer by rapaljer(4671) About Me 

Question 211379: if 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189. What is the number?
It's not 15, please show me how to get the answer. Thank YOu.

Click here to see answer by rapaljer(4671) About Me 

Question 211126: I need help describing the transformation of this function and also graphing it.
g%28x%29=4.2%5E2

Click here to see answer by rapaljer(4671) About Me 

Question 211403: A student has scores of 87.25, 86.5, and 93.75 on his first three tests. He needs an average of at least 90 to earn a grade of A. What is the minimum score that the student needs on the fourth test to ensure a A?
Click here to see answer by Earlsdon(6294) About Me 

Question 211525: from the center of the 20yd (60ft) line, a football player attempts to make a field goal by kicking the ball directly toward the goal posts, which are 90ft away. The goal-post crossbar is 10 ft above the ground. The ball reaches its highest altitude of 32 ft at a point 48 ft from where it was kicked.
a. make a sketch showing the path of the football. if the point from which the ball is kicked is the origin of a coordinate plane, find the equation of the parabolic path of the football.
b. will the kicker make the field goal?

Click here to see answer by Edwin McCravy(20081) About Me 

Question 211676: I need help figuring out an equation for this problem I do not want the answer just an equation so I can figure it out myself please !!
A plane flies 440 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 27 mph, what is the speed of the plane in still air?

Click here to see answer by checkley77(12844) About Me 

Question 211526: from the center of the 20yd (60ft) line, a football player attempts to make a field goal by kicking the ball directly toward the goal posts, which are 90ft away. The goal-post crossbar is 10 ft above the ground. The ball reaches its highest altitude of 32 ft at a point 48 ft from where it was kicked.
a. make a sketch showing the path of the football. if the point from which the ball is kicked is the origin of a coordinate plane, find the equation of the parabolic path of the football.
b. will the kicker make the field goal?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

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, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405