Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
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 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?
Click here to see answer by ankor@dixie-net.com(22740)  |
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?
Click here to see answer by rapaljer(4671)  |
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?
Click here to see answer by Mathtut(3670) |
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.
Click here to see answer by ankor@dixie-net.com(22740)  |
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?
Click here to see answer by ankor@dixie-net.com(22740)  |
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.
Click here to see answer by Fombitz(32388)  |
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) |
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) |
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?
Click here to see answer by EMStelley(208)  |
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
Click here to see answer by Edwin McCravy(20081)  |
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
Click here to see answer by MathTherapy(10809)  |
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
Click here to see answer by ptaylor(2198)  |
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?
Click here to see answer by Fombitz(32388)  |
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?
Click here to see answer by ankor@dixie-net.com(22740)  |
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?
Click here to see answer by ankor@dixie-net.com(22740)  |
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)  |
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)  |
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.
Click here to see answer by Mathtut(3670) |
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) |
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) |
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) |
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)  |
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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
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