Tutors Answer Your Questions about Linear-systems (FREE)
Question 1170552: A bakery bakes three types of bread, with the monthly cost being $6850 for 2150 loaves of bread. The cost of baking a loaf of butterscotch bread is $2, a chocolate bread and a coconut bread are $3, $4.50 and $5.50 respectively. If the bakery makes a profit of $2975 monthly, how many loaves of each type of bread will it bake?
Click here to see answer by ikleyn(52786)   |
Question 1170631: Solve by using substitution method or elimination method:
A bakery bakes three types of bread with the monthly cost being RM6850 for 2150 loaves of bread. The cost of baking a load of butterscotch bread is RM2, a chocolate bread is RM3 and a coconut bread RM4. The sale prices of a loaf of butterscotch bread, a chocolate bread and a coconut bread are RM3, RM4.50 and RM5.50 respectively. If the bakery makes a profit of RM2975 monthly, how many loaves of each type of bread will it bake?
Click here to see answer by Theo(13342)  |
Question 1170631: Solve by using substitution method or elimination method:
A bakery bakes three types of bread with the monthly cost being RM6850 for 2150 loaves of bread. The cost of baking a load of butterscotch bread is RM2, a chocolate bread is RM3 and a coconut bread RM4. The sale prices of a loaf of butterscotch bread, a chocolate bread and a coconut bread are RM3, RM4.50 and RM5.50 respectively. If the bakery makes a profit of RM2975 monthly, how many loaves of each type of bread will it bake?
Click here to see answer by MathTherapy(10552)  |
Question 1170735: A small software company publishes computer games, educational software, and utility software. Their business strategy is to market a total of 24 new programs each year, at least two of these being games. The number of utility programs published is never more than twice the number of educational programs. On average, the company makes an annual profit of $5000 on each computer game, $8000 on each educational program, and $6000 on each utility program. How many of each type of software should the company publish annually for maximum profit?
Thank you!
Click here to see answer by ikleyn(52786) |
Question 1170801: Solve the following problems by using elimination or substitution. Make sure to define your variables, write a system, solve showing all work and write a complete sentence answer.
Robert has a job offer in which he will receive $900 a month plus a commission of 4.5% of the total price of the cars that he sells. His current job pays him $1200 a month plus a commission of 3.25% of the total price of the cars that he sells. How many sales would he need each month to make the new job a better deal?
Click here to see answer by Theo(13342) |
Question 1171075: Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and
counts 320 total legs. (Note: butterflies have 6 legs and tarantulas have 8 legs)
a) Write the system of equations.
Click here to see answer by Solver92311(821)  |
Question 1171125: A train leaves Station X and travels east at 30 km/h. Two hours later, another train leaves the same station and travels in the same direction on a parallel tract at 45 km/h. At what point will the faster train overtake the slower train?
Click here to see answer by ikleyn(52786) |
Question 1171122: Imagine a Filipino family with seven members. The grandfather is 4 years older
than the grandmother, while the oldest son is 6 years older than his younger
brother and twice the age of the youngest sister. The wife of the oldest son is as old as him and their combined ages is 9 times the age of their child. If the youngest member is 8 times younger than the oldest member and it was 36 years ago when the grandparents had their first son, what is the present age of the grandmother ?
Click here to see answer by ikleyn(52786) |
Question 1171122: Imagine a Filipino family with seven members. The grandfather is 4 years older
than the grandmother, while the oldest son is 6 years older than his younger
brother and twice the age of the youngest sister. The wife of the oldest son is as old as him and their combined ages is 9 times the age of their child. If the youngest member is 8 times younger than the oldest member and it was 36 years ago when the grandparents had their first son, what is the present age of the grandmother ?
Click here to see answer by greenestamps(13200)  |
Question 1171400: I am having trouble with understanding this question:
The sum of three numbers is 40. The second number is twice the first number. The sum of the first two numbers is 2 more than the third number. What are the three numbers?
So far, I've worked out:
x+y+z=10
y=2x
x+y=z+2
Click here to see answer by Alan3354(69443)  |
Question 1171400: I am having trouble with understanding this question:
The sum of three numbers is 40. The second number is twice the first number. The sum of the first two numbers is 2 more than the third number. What are the three numbers?
So far, I've worked out:
x+y+z=10
y=2x
x+y=z+2
Click here to see answer by MathLover1(20850)  |
Question 1171400: I am having trouble with understanding this question:
The sum of three numbers is 40. The second number is twice the first number. The sum of the first two numbers is 2 more than the third number. What are the three numbers?
So far, I've worked out:
x+y+z=10
y=2x
x+y=z+2
Click here to see answer by ikleyn(52786) |
Question 1171400: I am having trouble with understanding this question:
The sum of three numbers is 40. The second number is twice the first number. The sum of the first two numbers is 2 more than the third number. What are the three numbers?
So far, I've worked out:
x+y+z=10
y=2x
x+y=z+2
Click here to see answer by MathTherapy(10552) |
Question 1171400: I am having trouble with understanding this question:
The sum of three numbers is 40. The second number is twice the first number. The sum of the first two numbers is 2 more than the third number. What are the three numbers?
So far, I've worked out:
x+y+z=10
y=2x
x+y=z+2
Click here to see answer by greenestamps(13200) |
Question 1171442: Please help me solve this equation:
A. Determine the type of system (inconsistent, consistent and independent, consistent and dependent) using algebraic methods and state the number of solutions.
B. Solve each system graphically and give the solution/s (if coinciding, give 2) and verify.
C. Solve each system by using substitution method.
D. Solve each system by using elimination method.
Click here to see answer by Theo(13342) |
Question 1171758: Victoria spent one fourth of her birthday money on clothes. She received another $25 a week later. If she has a total of $70 now, how much did she have before she went shopping?
I need a 2-step equation where
LET X= the amount of money she had before shopping
Thank you.
Click here to see answer by josgarithmetic(39617) |
Question 1171758: Victoria spent one fourth of her birthday money on clothes. She received another $25 a week later. If she has a total of $70 now, how much did she have before she went shopping?
I need a 2-step equation where
LET X= the amount of money she had before shopping
Thank you.
Click here to see answer by Solver92311(821) |
Question 1171828: A fabric store sells two types of ribbon. One customer buys 3 rolls of the lace ribbon and 2 rolls of the satin ribbon and has a total of 120 yards of ribbon. Another customer buys 2 rolls of the lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon.
How many yards are on one roll of lace ribbon and one roll of satin ribbon?
Click here to see answer by ikleyn(52786) |
Question 1171840: For a city tour, Yolanda decides to order T-shirts for all the participants. It will cost $2 per shirt for the small size, $3 per shirt for the medium size. Yolanda ordered a total of 50 T-shirts and spend a total of $130. How many are small sized shirts? How many are medium sized shirts?
Define your variables with proper ‘let’ statements.
Write two linear equations that model the problem.
How many small size shirts?
How many medium size shirts?
Click here to see answer by Boreal(15235)  |
Question 1171861: jane invests part of her $4000 savings into a savings account at 2.5% and part into a GIC at 4% simple interest. If she earns 148.00$ in interest from her two investments, calculate how much she invested at each rate.
Click here to see answer by ikleyn(52786) |
Question 1171868: ABOUT LINEAR EQUATION
Solve for the unknown in each equation.
please show the solutions.
1.4(x+5) = 6(x - 2)
2.3b/7+2b-5/2=-4
3.4 - 3(t+2) + t = 5(t -1) -8t
4.4y/y+4 + 1=5/2y+8
5.6/y+4 + 1=5/2y+8
Solve the ff. problems.
Please show the solutions.
6.Sixty more than nine times a number is the same as two less than ten times the number. What is the number?
7.Find three consecutive integers such that the sum of the first, twice the second, and three times the third is -76.
8.The perimeter of a rectangle is 152 meters. The width is 22 meters less than the length. Find the length and the width.
9.The sum of three consecutive odd integers is 255. What are the integers?
10.The second angle of a triangle is four times the first and the third is 5 degrees more than twice the first. Find the angles.
Click here to see answer by ikleyn(52786) |
Question 1172014: alex deposited a total of 25000 in bank a and bank b. two banks pay simple interest rates of 0.6% and 0.65% per annum. if the amount of interest he earned from each bank is the same, find the amount of money he deposited in each bank.
Click here to see answer by ikleyn(52786) |
Question 1172526: Jodi delivers 54 newspapers on Saturday and 78 on newspapers Sunday. She makes bundles of 6 newspapers for each of her delivery routes. How many delivery routes does Jodi have on Saturday and Sunday?
1. Explain how you could use a picture to represent the problem and show the relationship.
4. Write and solve equations to represent the problem. explain how you can check that your solution is reasonable.
Click here to see answer by Solver92311(821) |
Question 1172616: Mrs. Mone wants to build a new rectangular playground for the kindergarten and use at most 350 feet of anchor fencing. He wants the length of the playground to be 50 feet longer than the three times the width. Find the dimensions of the playground to the nearest foot
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1172647: Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $87. Two adults and three children must pay $62. Find the price of the adult's ticket and the price of a child's ticket.
Click here to see answer by ewatrrr(24785)  |
Question 1172680: A Papyrus company owns two automated machines. Machine A costs ₱25,000 per day
to operate, and it can produce 40 rims of high-grade paper, 30 rims of medium-grade
paper, and 20 rims of low-grade paper each day. Machine B costs ₱35,000 per day to
operate, and it can produce 30 rims of high-grade paper, 40 rims of medium-grade
paper, and 50 rims of low-grade paper each day. The company has orders totaling
2,000 rims of high-grade paper, 2,000 rims of medium-grade paper, and 3,000 rims of
low-grade paper. How many days should it run each machine to minimize its costs but
have enough supply of paper for the orders?
Click here to see answer by Theo(13342) |
Question 1172734: As part of an experiment, a chemist measures the temperature of two solutions every minute. At the
beginning of the experiment, the sodium chloride solution’s temperature is 48 degrees higher than
the potassium chloride solution’s temperature. If the sodium chloride solution’s temperature
increases by 1 degree per minute and the potassium chloride’s temperature increases by 7 degrees
per minute, after how many minutes will the two solutions have the same temperature?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 1172967: Whatis the solution in this problem? The distance from the center of the seesaw inversely as the weight of a person .jb who weighs 50kg sits 3 feet from the fulcrum.how far from the fulcrum must jp sit in order to balance withjb if weighs 35kg?
Click here to see answer by ikleyn(52786) |
Question 1173106: You are selling pizzas to raise money for the pandemic. Cheese pizza cost php 80 and pepperoni pizza cost php 90. You need to sell at least two of each kind of pizza and you want to sell at least php 1800 worth of ljzza. Write and graph a system of linear inequalities that represent the information given.
Click here to see answer by Theo(13342) |
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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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