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

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Question 443668: one fifth of a number decreased by 4 is equal to 6. Find the number
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Question 443748: What is the difference betwee intersecting lines and perpendicular lines? Can two lines exist that are not intersecting or parallel?
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Question 443748: What is the difference betwee intersecting lines and perpendicular lines? Can two lines exist that are not intersecting or parallel?
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Question 443550: What are the equations used to solve this problem:
The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per pound for Sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40 per pound?

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Question 443718: The force exerted by the wind on a plane surface varies jointly with the area of the surface and the square of the velocity of the wind. If the force on an area of 20 square feet is 11 pounds when the wind velocity is 22 miles per hour, find the force on a surface area of 47.125 square feet when the wind velocity is 36.5 miles per hour.
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Question 443295: If I shower in the morning, then I do not smell bad.
I showered in the morning.
Therefore, I do not smell bad.

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Question 442852: Force of wind on a window. The force exerted by the wind on a plane surface varies jointly with the area of the surface and the square of the velocity of the wind. If the force on an area of 20 square feet is 11 pounds when the wind velocity is 22 miles per hour, find the force on a surface area of 47.125 square feet when the wind velocity is 36.5 miles per hour.
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Question 443254: The function W(d)=0.112d approximates the amount, in centimeters, of water that results from d cm of snow melting. Find the amount of water that results from snow melting from depths of 10 cm, 21 cm, and 95 cm.
10 cm of snow melting produces _____ cm of water.
21 cm of snow melting produces _____ cm of water.
95 cm of snow melting produces _____ cm of water.

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Question 443711: A population of a colony of mosquitoes obeys the law of uninhibited growth.
a) If N is the population of the colony and t is the time in days, express N as a function of t.

b) If there are 1000 mosquitoes initially and there are 1800 after one day, how many will be present in three days?
c) How long will it take until there are 10,000 mosquitoes?

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Question 442444: Find the following, 16w%2Fsqrt%28%28-7%29%5E16%29....that would be 16 inside the V not before it
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Question 443797: Miriam has two containers of water for a camping trip. One container holds 4 times as much as the other. The total amount of water is 25 gallons. How much water is in each container?
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Question 443795: Devon purchased tickets to an air show for 4 adults and 2 children. The total cost was $90. The cost of a child's ticket was $3 less than the cost of an adult's ticket. Find the price of an adult's ticket and a child's ticket.
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Question 442440: a car rental agency charges a daily fee plus a mileage fee. Mr jones was charged $375 for 3 days and 500 miles. mr smith was charged $470 for 4 days and 600 miles. what is the agency's daily fee and what is their mileage fee?
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Question 444111: Help me solve. Tickets cost 6.25 and 9.75. 544 tickets sold for 4,107. How many of each sold? Is the equation (6.25*x)+(9.75*y)=4107. ? Thanks
Click here to see answer by mananth(16949) About Me 

Question 444908: NEED HELP!!!
A person is chosing between 2 cellular phone plans. One has a monthly fee of $50 for 500 minutes plus $0.35 for each minute over the 500. The second plan has a monthly fee of $75 for 1000 minutes plus $0.45 for each minute over the 1000.
After how many minutes used are the monthly costs of the plans equal?

Click here to see answer by htmentor(1343) About Me 

Question 445218: The new parking lot has spaces for 450 cars. The ratio of spaces for full-sized cars to compact cars is 11 to 4. How many spaces are for full-sized cars? How many spaces are for compact cars?
Click here to see answer by stanbon(75887) About Me 

Question 445448: An art dealer sold 16 etchings for $630. He sold some of them at $35 each and the rest at $45 each. How many etchings did he sell at each price?
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Question 445503: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.10 for each minute of calls. The second plan has no monthly fee but charges $0.14 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

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Question 445585: how many pounds are in 1.5 tons?
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Question 445761: You have $22 in your bank account and deposit $11.50 each week. At the same time your cousin has $218.00 but is withdrawing $13.00 each week. a. When will your accounts have the same balance? b. How much money will each of you have after 12 weeks?
We just need to figure out the equation, please. Not the answer. Thanks very much.

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Question 445895: 7 audio cassettes and 3 video cassettes cost rs 1110,while 5 audio cassettes and 4 video cassettes cost rs 1350 find the cost of an audio cassette and a video casette
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Question 445894: a) John is now 3 times as old as his brother Sam. In 5 years, John will be twice as old as Sam will be then. Find their present ages.
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Question 446703: Please help me solve!!!!

Luke has two solutions with strengths of 10% and 20% .
Find the amount of the 10% and 20% solution if he mixes to get 20 liters of 18% saline solution?

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Question 446700: Please Help!!!
The difference if two numbers is 4. The larger number is 5 less than four times the smaller number. Find the two numbers?

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Question 446932: If 1/6 of the tickets had been sold and there were 245 tickets left, how many tickets were printed?
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Question 447168: Please help me solve this problem.
The average American uses 100 gallons of water each day. Write an equation that gives the gallons "g" of water that a person uses "t" days.
So far I have:
g= gallons
t = days
100g= 1 day

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Question 447027: A student ears $10 per hour for tutoring and $7 dollars per hour as a teacher's aid. Let x= number of hours each weeks spent tutoring and y=the number of hours each week spent as teacher's aid. Write the objective function that describes the total weekly earnings:
e=10x+7y correct?
for the 2nd part of the problem:
The student is bound by the following constraints:
a) to have enough time for studies the student can work no more than 20 hours a week
x+y <=20 correct?
b) The tutoring center requires that each tutor spend at least 3 hours a week tutoring.
3x+y <=20 correct?
c) The tutoring center requires that each tutor spend no more than eight hours a week tutoring?
No sure here.
Any help will be appreciated thanks

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Question 447687: A coffee company uses Columbian and Brazilian beans to make two blends of coffee, robust and mild. A pound of the robust blend uses 12 ounces of Columbian and 4 ounces of Brazilian beans. A pound of the mild uses 6 ounces of Columbian and 10 ounces of Brazilian beans. They have 105600 ounces of the Columbian beans and 84480 ounces of the Brazilian beans. How many pounds of each blend can they make to use all available beans?
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Question 447666: You have 600 feet of fencing to enclose a rectangular lot that "BOARDERS ON A RIVER." If you DO NOT fence the side along the river, find the lenght and width of a plot that will maximize the area. What is the largest area that can be enclosed?
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Question 447762: Please help me!!!!!!!!
Solve. Please show the algebraic inequality you used and show all of your work.
Two cell phone companies are advertising rates. Company A charges a rate of $20 per month plus $0.05 per minute. Company B charges a rate of $10 per month plus $0.10 per minute. What is the number of minutes used above which Company A costs more than Company B?

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

Question 447974: My teacher gave me this problem. Write an equation and solve the problem. If necessary, round results to two decimal places.
Jenny is considering a job in retail. Her salary would be $300 plus 40% comission on weekly sales. She would like to know her possible growss pay if she projects weekly sales between &750 and $1200.......
I am thinking its $300+.40x= but Im probably wrong. PLEASE HELP ME!

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Question 448002: During one year, the Wagners' real estate bill included $600 for local schools. Of this amount, $150 went to the high school district. What percent did the Wagner family pay to the high school district?
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Question 448004: Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8). Please show all of your work. PLEASE HELP!!!!
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Question 448194: The DVD Statistics show that the average person watches 48 DVD’s a year.
1.Write an equation to show the total number of DVD’s watched in one year. Use x for the number of action DVD’s and use y to represent the other categories.
X+y=48

The average person watches 3 times as many action DVD’s as any other category.
2.Write an equation to show the relationship between the action DVD’s and the other categories.
3x+y=48
This is what I came up with but it doesn't work out for one, and just doesn't seem right. I think my first answer is correct but the second part is not right.

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Question 448512: The manager of a candy shop wishes to mix candy worth $4 per pound, $6 per pound and $10 per pound to get 100 pounds of a mixture worth $7.60 per pound. The amount of $10 candy must equal the total amounts of the $4 and $6 candy. how many ounds of each must he use?
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Question 448799: write an equation for the line x = -8
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Question 448949: Total units sales are forecast to increase to 50,000 units and the sales mix is estimated to be 3:2 (old product to new product. What this mean? How do I calculate the 3:2 of the 50,000?
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Question 449302: David had $4000 invested for 1/4 of a year at a simple rate of 6.1%. How much interest did he earn? Please explain step by step. Thank you.
Click here to see answer by rfer(16322) About Me 

Question 449648: Patient Appointments Some doctors use the formula ND= 1.08T to relate variables N (the number of patient appointments the doctor schedules in one day), D ( the duration of each patient appointment), and T (total number of minutes the doctor can use to see patients in one day).
a) Solve the formula for N.
b) Use this result to find the number of patient appointments N a doctor should make if she has 6 hours available for patients and each appointment is 15 minutes long. (Round the answer to the nearest whole number.)
Please help me, for I am completely lost with this question and with the step by step process.
Thank you

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Question 450034: Please help with the following word problem?
Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $69 for 3 days and 300 miles, while Mary was charged $123 for 5 days and 600 miles. Find the daily fee and find the mileage charge?
I have no idea where to start! Thanks!

Click here to see answer by htmentor(1343) About Me 
Question 450034: Please help with the following word problem?
Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $69 for 3 days and 300 miles, while Mary was charged $123 for 5 days and 600 miles. Find the daily fee and find the mileage charge?
I have no idea where to start! Thanks!

Click here to see answer by solver91311(24713) About Me 

Question 450346: a rectangle is 4 meters longer than it is wide. the perimeter is 44 meters. what are the dimensions and area of the rectangle?

Click here to see answer by jorel1380(3719) About Me 

Question 450605: The Union Square Cinema charges $9 for an adult ticket and $4 for a child’s ticket. Last Saturday, the entire 1020 seat cinema was sold out. The total ticket receipts for the evening were $7680. How many of each type ticket were sold?
Click here to see answer by rwm(914) About Me 

Question 450529: One number is eleven more than twice another. If their sum is decreased by nine, the result is eleven. Find the numbers. (Enter solutions from smallest to largest.)
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Question 450801: 2x+(3/4)(4x+16)=7
(3/4) is a fraction just so you know

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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, 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