Tutors Answer Your Questions about Linear-systems (FREE)
Question 1190106: A loyal boys club sold 176 bags of mulch and made a total of $520. It sold wo types of mulch: hardwood for $3.50 a bag and pine bark for $2.75 a bag. How many bags of each kind of mulch did it sell.
Click here to see answer by 55620102(1)  |
Question 1190089: The cable of a substanded deck bridge are in the shape of parabola. The pillars supporting the cables are 182.9 meters apart and rise 27.4 meters above the road. The lowest height of the cable which is 3.05 meters above the road, is reached half way between the pillars.
What is the height of the cable from the road at a point 45.7 meters ( horizontally) from the center of the bridge?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1190302: kim and mark are selling fruit for a school fundraiser. Customers can oranges and apples. Kim sold 14 boxes of oranges and 3 boxes of of apples for a total of $196. Mark sold 2 boxes of oranges and 10 boxes of apples for a total of $162. Which of these system of equations could be used to solve this problem?
a. {14o + 3a = 162 b. { 3o + 14a = 196
{ 2o + 10a = 196 { 10o + 2a = 162
Click here to see answer by MathLover1(20850)  |
Question 1190302: kim and mark are selling fruit for a school fundraiser. Customers can oranges and apples. Kim sold 14 boxes of oranges and 3 boxes of of apples for a total of $196. Mark sold 2 boxes of oranges and 10 boxes of apples for a total of $162. Which of these system of equations could be used to solve this problem?
a. {14o + 3a = 162 b. { 3o + 14a = 196
{ 2o + 10a = 196 { 10o + 2a = 162
Click here to see answer by ikleyn(52788)  |
Question 1190441: women earned 82 cents for every dollar earned by men in 2021. This is true when comparing the amount earned from white women to white men. However, the pay gap differs when considering other races and ethnic groups. In 2021, American Indian and Alaska Native women earned 69 cents to every dollar earned by white men; Hispanic and Pacific Islander women earned 76 cents to every dollar earned by white men; Black or African American women earned 77 cents to every dollar earned by white men; Asian women earned 95 cents to every dollar earned by white men.
Use the information above to set up functions to calculate the expected pay for American Indian/Alaska Native women, for Black/African American women, and for Asian women based on the pay of a white man. If the average white man was found to earn $20,000 in a rural area, $50,000 in a suburban area, and $80,000 in an urban area, use the functions you created to calculate the expected women’s pay for each ethnic group in each location.
Click here to see answer by Theo(13342)  |
Question 1190802: Activity No. 1: Multicab Ride!
Going to a far barangay in Gingoog City means riding a multicab. The standard fare in riding a multicab is Php 9 for the first 5 km as a flag down rate plus Php 1 peso for every 1 kilometer. How much is Nathan going to pay if he goes to Medina?
Complete the table:
5 km - Lunao 8 km - agay 11 km - Minlagas 13 km - San Luis 18 km - Medina 23 k
Click here to see answer by ikleyn(52788) |
Question 1190862: Chloe has been offered positions by two car dealers. The first company pays a salary of $19,000 plus a commission of $500 for each car sold. The second pays a salary of $14,000 plus a commission of $700 for each car sold. How many cars would need to be sold to make the total pay the same?
Click here to see answer by Theo(13342) |
Question 1191613: I know this question has been asked on here before, but there was no explanation on how the answer was found, so doping someone will explain on how to find the answer and not just provide the answer.
Two cities are located in the xy-plane at the points A(6, 4) and B(12, 7). A company wishes to place a factory on a road between the cities at A and B. It is determined that the company can make the most money if it places the factory exactly halfway between A and B.
However, due to environmental hazards produced by the factory, it is safe for the people living in A and B only if the factory is located exactly 1
3 of the distance from A going toward B. Find the
coordinates of the point where the factory should be placed to ensure the most ethical outcome. Explain your decision.
Click here to see answer by Alan3354(69443)  |
Question 1191916: An ice skating rink charges $4.75 for admission and skate rental. If you bring your own skates, the admission is only $3.25. But, you must buy a pair of ice skates for $45. Write and solve an equation to find the number of times you must go skating for the cost to be the same for renting skates and buying skates.
Click here to see answer by ikleyn(52788) |
Question 1191957: A small juice company spends $1,200 per day on business expenses plus $1.10 per bottle of juice that they make. They charge $2.50 for each bottle of juice they produce. How many bottles of juice must the company sell in one day in order to equal the daily costs?
Click here to see answer by ikleyn(52788) |
Question 1191954: A lawyer charges $100 per month to be put on retainer for a client. The lawyer also charges an hourly rate of $75 for work done. How many hours does the lawyer have to work for a client, in one month, to charge $625?
Click here to see answer by ikleyn(52788) |
Question 1191968: Suppose a family drives an average rate of 60mi/h on the way to visit relatives and then at an average rate of 40mi/h on the way back. The return trip takes 1h longer than the trip there.
a. Let d be the distance in miles the family traveled to visit their relatives. How many hours did they take to drive there?
b. In terms of d, how many hours did it take to make the return trip?
c. Write and solve an equation to determine the distance the family traveled to see their relatives. What was the average rate for the entire trip?
Click here to see answer by josgarithmetic(39618) |
Question 1191967: Suppose a family drives an average rate of 60mi/h on the way to visit relatives and then at an average rate of 40mi/h on the way back. The return trip takes 1 h longer than the trip there.
a. Let d be the distance in miles the family traveled to visit their relatives. How many hours did they take to drive there?
b. In terms of d, how many hours did it take to make the return trip?
c. Write and solve an equation to determine the distance the family traveled to see their relatives. What was the average rate for the entire trip?
Click here to see answer by josgarithmetic(39618) |
Question 1191969: Each morning, a deli worker has to make several pies and peel a bucket of potatoes. On Monday, it took the worker 2 h to make the pies and an average of 1.5 min. To peel each potato. On Tuesday, the worker finished the work in the same amount of time,but it took 2.5 h to make the pies and an average of 1 min to peel each potato. About how many potatoes are in the bucket?
*What quantities do you know and how are they related to each other?
*How can you use the known and unknown quantities to write an equation for this situation?
Click here to see answer by Solver92311(821)  |
Question 1191959: A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $67. A season ski pass costs $350. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
Click here to see answer by math_helper(2461)  |
Question 1192128: You bowl at Mar Vista Bowl, where renting shoes costs $2 and each game bowled is $3.50. Your friend bowls at Pinz where the shoe rental is $5 and each game bowled is $3.25. Write and solve an equation to find the number of games for which the total cost will be the same for the two bowling. Explain your answer.
Click here to see answer by josgarithmetic(39618) |
Question 1192257: A dice is thrown twice. We add the two numbers that are thrown. Complete the facts about the numbers below with “more than,” “not more than,” or “at least.”
The sum of the numbers is ______ 12
The sum of the numbers is ______ 1
The sum of the numbers is ______ 2
Click here to see answer by ikleyn(52788) |
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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
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