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

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Question 174463: You are planning an ornamental garden that has a total area of 200 square feet. There are two sizes of ornamental plants you have chosen for your garden. Each small plant requires 2.5 square feet of space and each large plant requires 8 square feet of space. This situation can be modeled by the equation 2.5x+%2B+8y+=+200 where x is the number of small plants and y is the number of large plants to be placed in the garden. What are three possible numbers of small plants and large plants that you can plant in the garden?
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Question 174555: 500 students are enrolled in at least two of these three classes: Math, English, and History. 170 are enrolled in both Math and English, 150 are enrolled in both History and English, and 300 are enrolled in Math and History. How many of the 500 students are enrolled in all three?

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Question 174702: a grocer mixes together some cashews costing $8 per kilogram with some Brazil nuts costing $10 per kilogram. The grocer sold 12 kg of the mixture for $8.50 per kilogram. how many kilograms of cashsews were in the mixture the grocer sold?
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Question 174918: Define your variables and write the system of inequalities to describe the following situation.and graph the solution: Anna earns $4 an hour shoveling snow on weekends. She also earns $8 an hour babysitting. She needs to earn at least $200 per week, but she must work no more than 40 hours per week.
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Question 174952: The differece between two positive numbers is 4. If twice the square of the larger number is added to three times the smaller number ,the sum is 53.What is the steps to the solution?
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Question 174952: The differece between two positive numbers is 4. If twice the square of the larger number is added to three times the smaller number ,the sum is 53.What is the steps to the solution?
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Question 174954: If 6 is added to a number and than subtracted from the same number, the product of the sum and the difference is 189 . What is the number?
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Question 174953: The area of a rectangle is the product of its length and width , and equals 1062.If the length is 5 more than three times the width ,find the width of the rectangle.
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Question 175060: 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?
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Question 175061: The difference between two positive numbers is 4 .If twice the number is added to three times the smaller ,the sum is 53.Which are the steps to the solution?
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Question 175063: The area of a rectangle is the product of its length and width, and equals 1062.If the length is 5 more tthan three times the width and of the rectangle.
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Question 175232: I can't figure out the following equation:
Paul jogged half as many miles (mi) as Lucy and 7 less than Isaac. If the three ran a total of 23 MI, how far did each person run?

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Question 175412: If 25 is added to three times of a number 52 is obtained. find the numbers?
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Question 175419: a father is now four times as old as his son. If the sum of their ages ten years ago was sixty. find thrie present ages
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Question 175418: a father is now four times as old as his son. If the sum of their ages ten years ago was sixty. find thrie present ages
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Question 175416: 23.5x^2+3.25x+15.6=0
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Question 175441: who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind.

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Question 175467: Define A@B to be A/B + (A x B). What is the value of 20@(4@2)?
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Question 175467: Define A@B to be A/B + (A x B). What is the value of 20@(4@2)?
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Question 175474: An angry construction worker throws his wrench downward from a height of 128 feet
with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)= - 16t - 32t - 128.
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

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Question 175468: Five Balls are numbered 1 through 5 and placed in a bowl. Josh will randomly choose a ball from the bowl, look at its number and then put it back into the bowl. Then Josh will again randomly choose a ball from the bowl and look at its number. What is the probability that the product of the two numbers will be even greater than 10? Express your answer as a common fraction.
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Question 175723: A car purchased for $20,000 depreciates annually at a rate of 13%
a)write an equation that models the value of the car
V(t) = 20000*0.87^t
--------------------------
b)predict the value of the car after 6 years
V(6) = 20000*0.87^6 = $8672.52
====================================
Cheers,
Stan H.

Click here to see answer by stanbon(75887) About Me 
Question 175723: A car purchased for $20,000 depreciates annually at a rate of 13%
a)write an equation that models the value of the car
V(t) = 20000*0.87^t
--------------------------
b)predict the value of the car after 6 years
V(6) = 20000*0.87^6 = $8672.52
====================================
Cheers,
Stan H.

Click here to see answer by Mathtut(3670) About Me 

Question 175771: point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of line AB?

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Question 175952: When asked how old he is, a boy replied: " I am twice older than I was 5 years ago." How old is he now?

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Question 176057: In a club, the ratio of boys to girls is 7:8. The ratio of one less than the number of girls to the total number of members is 1:2. How many boys and how many girls are in the club?
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Question 176128: find 3 consecutive even integers such that the sum of the smallest and the largest integer is equal to 36.

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Question 176076: Jasmine is deciding between two cell-phone plans. The first plan has a $50 sign-up fee and costs $20 per month. The second plan has a $30 sign-up fee and costs $25 per month. After how many months will the total costs be the same? What will the be? If Jasmine has to dign a one-year contract, which plan will be cheaper?
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Question 176291: The cheerleaders sold foam fingers for $5 and spirit bracelets for $4. They sold 40 more foam fingers than bracelets, and they earned $965. Write a system of equations to describe the situation and solve this system using at least two different methods and explain each method.
so far this is what i have and i'm not sure if its correct can't get past anything else.
5.00x+4.00y=965
x+y=40 more foam fingers

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Question 176310: Find two numbers whose sum is 64 ans whose difference is 14 the two numbers are x and y
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Question 176333: Two rainstorms occured in one week in a certain area in the first storm 30mL of rain fell per hour, and in the second storm 15 mL of rain fell per hour. Rain fell that week for a total of 45 hours for a total rain fall of 975 mL how long was each storm.


Thank you

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Question 176339: Find two numbers whose sum is 65 and such that one is 4 times as large as the other.

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Question 176332: Two rainstorms occured in one week in a certain area in the first storm 30mL of rain fell per hour, and in the second storm 15 mL of rain fell per hour. Rain fell that week for a total of 45 hours for a total rain fall of 975 mL how long was each storm.


Thank you

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Question 176337: Flying against the jetstream, a jet travels 4440km in 6 hours. Flying with the jetstream, the same jet travels 8540 km in 7 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?

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Question 176334: A child in an airport is able to cover 339 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 308 meters in 4 minutes. What is the child's running speed on a still sidewalk, and what is the speed of the moving sidewalk?




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Question 176336: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 75 . The first car has consumed 25 gallons during that week, and the second has consumed 35 gallons, for a total of 2275 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week?

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Question 176432: Hey how would you set up this equation?
Istas rides her bicycle down a hill. For every kilometer that she rides, her altitude changes by -9m. What is Istas’s altitude relative to her starting point after she rides 7km?
I’m thinking it would be (-9)(7)
Since the rider is going down hill, then would that make the distance a negative number or positive number?
A) 16m
B) -16m
C) 63m
D) -63m

Click here to see answer by solver91311(24713) About Me 
Question 176432: Hey how would you set up this equation?
Istas rides her bicycle down a hill. For every kilometer that she rides, her altitude changes by -9m. What is Istas’s altitude relative to her starting point after she rides 7km?
I’m thinking it would be (-9)(7)
Since the rider is going down hill, then would that make the distance a negative number or positive number?
A) 16m
B) -16m
C) 63m
D) -63m

Click here to see answer by MathTherapy(10809) About Me 

Question 176462: can you help with this problem:
ten gallons of a 30% acid mixture is obtained by mixing a 20% solution with a 50% solution. How much of each must be used?
i've tried creating two linear equations (one for total volume and one for concentration) but i don't know where to go from there.

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Question 176487: During a sale an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks how many trucks did she sell?
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Question 176557: At a restaurant, one hamburger and two orders of fries costs $2.50. Two hamburgers and three orders of fries costs $4.25. At this rate, find the cost of one hamburger and one order of fries.
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Question 176643: How would you set up this equation
Steve gave 195 water balloons to the people who came to a summer party. Each person received 15 balloons. Which equation can be used to fine n, the number of people who came to the party?
A 195/n=15
B 15=n/195
C 195=15/n
D n/15=195

Click here to see answer by gonzo(654) About Me 
Question 176643: How would you set up this equation
Steve gave 195 water balloons to the people who came to a summer party. Each person received 15 balloons. Which equation can be used to fine n, the number of people who came to the party?
A 195/n=15
B 15=n/195
C 195=15/n
D n/15=195

Click here to see answer by Mathtut(3670) About Me 

Question 176642: I would like to see how you set up this equation?
A soccer team held a car wash to raise money. They earned 6.50 for each car they washed. The team raised a total of 234.00 by washing cars. Which equation can be used to solve for n, the number of cars the team washed?
A 6.5= 234/n
B 6.5/n=234
c. 234 = n/6.5
d. n/234=6.5

Click here to see answer by gonzo(654) About Me 

Question 176649: A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection.
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