Tutors Answer Your Questions about Linear-systems (FREE)
Question 1185319: Wilma drove at an average speed of 45 mi/h from her home in City A to visit her sister in City B. She stayed in City B 10 hours, and on the trip back averaged 50 mi/h. She returned home 48 hours after leaving. How many miles is City A from City B?
Click here to see answer by ikleyn(52782)   |
Question 1185319: Wilma drove at an average speed of 45 mi/h from her home in City A to visit her sister in City B. She stayed in City B 10 hours, and on the trip back averaged 50 mi/h. She returned home 48 hours after leaving. How many miles is City A from City B?
Click here to see answer by greenestamps(13200)  |
Question 1185506: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold tickets overall. It has sold more $20 tickets than $10 tickets. The total sales are $. How many tickets of each kind have been sold?
Click here to see answer by ikleyn(52782) |
Question 1185506: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold tickets overall. It has sold more $20 tickets than $10 tickets. The total sales are $. How many tickets of each kind have been sold?
Click here to see answer by greenestamps(13200) |
Question 1185630: I have a word problem here and I having trouble figuring out the let statements and equations to solve the problem. The word problem is:
A boat has two motors, one large and one small. If only the large motor is running. a tank of fuel lasts 2 h. If only the small motor is running, the tank of fuel lasts 4 h.
How long will the fuel last if both motors are running?
Click here to see answer by Theo(13342)  |
Question 1185630: I have a word problem here and I having trouble figuring out the let statements and equations to solve the problem. The word problem is:
A boat has two motors, one large and one small. If only the large motor is running. a tank of fuel lasts 2 h. If only the small motor is running, the tank of fuel lasts 4 h.
How long will the fuel last if both motors are running?
Click here to see answer by greenestamps(13200) |
Question 1186392: A man is rowing a boat in a stream. As he passes under a bridge, a bottle of vodka falls into the water. Since it's 1/2 full, it floats. Since it's 1/2 empty, he doesn't hear it. 20 minutes later, he looks for the bottle to take another drink. He realizes it fell in the water. He turns around and rows back to the bottle, which is 1 mile from the bridge.
What is the speed of the stream?
Click here to see answer by JBnovelwriter(34)  |
Question 1186392: A man is rowing a boat in a stream. As he passes under a bridge, a bottle of vodka falls into the water. Since it's 1/2 full, it floats. Since it's 1/2 empty, he doesn't hear it. 20 minutes later, he looks for the bottle to take another drink. He realizes it fell in the water. He turns around and rows back to the bottle, which is 1 mile from the bridge.
What is the speed of the stream?
Click here to see answer by Alan3354(69443)  |
Question 1186392: A man is rowing a boat in a stream. As he passes under a bridge, a bottle of vodka falls into the water. Since it's 1/2 full, it floats. Since it's 1/2 empty, he doesn't hear it. 20 minutes later, he looks for the bottle to take another drink. He realizes it fell in the water. He turns around and rows back to the bottle, which is 1 mile from the bridge.
What is the speed of the stream?
Click here to see answer by ikleyn(52782) |
Question 1186979: Find the equation of the line having slope −2 and x -intercept of 5 .
You may enter your equation in either the slope-intercept or point-slope form. Make sure to enclose fractions in parentheses, for example: y = (9/2)*x+(5/2).
Click here to see answer by Theo(13342) |
Question 1186979: Find the equation of the line having slope −2 and x -intercept of 5 .
You may enter your equation in either the slope-intercept or point-slope form. Make sure to enclose fractions in parentheses, for example: y = (9/2)*x+(5/2).
Click here to see answer by MathTherapy(10552)  |
Question 1186975: Find the equation of the line passing through the point (−8,4) and
perpendicular to the line y=−25x−519 .
You may enter your equation in either the slope-intercept or point-slope form.
Make sure to enclose fractions in parentheses, for example: y = (9/2)*x+(5/2).
Click here to see answer by Edwin McCravy(20056)  |
Question 1187051: Joe Tyson is a place kicker for his college football team. Last season he kicked 38 times and never missed.
Each field goal scored 3 points and each point after touchdown scored 1 point for a total of 70 points.
How many field goals did Joe kick last season?
Click here to see answer by ikleyn(52782) |
Question 1187053: Joe Tyson is a place kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal scored 3 points and each point after touchdown scored 1 point for a total of 70
points. How many field goals did Joe kick last season?
Click here to see answer by ikleyn(52782) |
Question 1187382: The cost of renting a car is $40/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=40+0.25x, where x is the number of miles traveled.
a. What is your cost if you travel 56 miles?
b. If your cost was $59.75, how many miles were you charged for traveling?
Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
Click here to see answer by Boreal(15235)  |
Question 1187897: A particle travels in a straight line in such a way that; t seconds after passing through a fixed point 0, its displacement from 0 is s metres. Given that s=4-8/(t+2) find:
i) Expression in terms of t ,for the velocity and acceleration of the particle.
ii) The value of t when the velocity of the particle is 0.125m/s
iii) The acceleration of the particle when it is 3.5m from 0.
Click here to see answer by Alan3354(69443) |
Question 1187852: The diagram shows a vertical cross -section of a container in the form of invented cone of height 60cm and base radius 20cm. The circular base is held horizontal and uppermost. Water is pured into the container at a constant rate of 40cm^3/s.
i)show that, when the depth of water in the container is x cm, the volume in the container is (pie x^3)/27 cm^3
ii) find the rate of increase of x at the instant when x=2.
Click here to see answer by Edwin McCravy(20056) |
Question 1187852: The diagram shows a vertical cross -section of a container in the form of invented cone of height 60cm and base radius 20cm. The circular base is held horizontal and uppermost. Water is pured into the container at a constant rate of 40cm^3/s.
i)show that, when the depth of water in the container is x cm, the volume in the container is (pie x^3)/27 cm^3
ii) find the rate of increase of x at the instant when x=2.
Click here to see answer by mccravyedwin(407)  |
Question 1187852: The diagram shows a vertical cross -section of a container in the form of invented cone of height 60cm and base radius 20cm. The circular base is held horizontal and uppermost. Water is pured into the container at a constant rate of 40cm^3/s.
i)show that, when the depth of water in the container is x cm, the volume in the container is (pie x^3)/27 cm^3
ii) find the rate of increase of x at the instant when x=2.
Click here to see answer by AnlytcPhil(1806)  |
Question 1188540: I want to compare two air conditioners using systems of linear equations. One, with inverter, priced 35,500 has a down payment of 13500 and 12 monthly amortizations of 1890. The other has no inverter, priced 24,000 with a down payment of 8000 and 12 monthly amortizations of 1375.
a. What are the systems of equations?
b. How do their graphs look like?
c. What is their solution by substitution?
d. What is the better option? Why?
Click here to see answer by ikleyn(52782) |
Question 1188615: CONTEXT:
You need to invest in an air conditioner (A/C). You have two choices.
1. A/C, regular
2. A/C, with inverter
You are assuming that the A/C with inverter will be the better choice in the long run.
QUESTION: WHEN will it be the better choice?
DATA:
1. A/C, regular
Price: PhP 24,000
Down Payment: PhP 8,000
(12) Monthly Installments: PhP 1,375
2. A/C, with inverter
Price: PhP 35,000
Down Payment: PhP 13,500
(12) Monthly Installments: PhP 1,890
TASKS:
1. Create a model of the data you have by letting the down payment be the
y-intercept and the monthly payment as the slope.
2. What is the graph of the system?
3. Compute for the solution by using substitution.
Click here to see answer by Theo(13342) |
Question 1188615: CONTEXT:
You need to invest in an air conditioner (A/C). You have two choices.
1. A/C, regular
2. A/C, with inverter
You are assuming that the A/C with inverter will be the better choice in the long run.
QUESTION: WHEN will it be the better choice?
DATA:
1. A/C, regular
Price: PhP 24,000
Down Payment: PhP 8,000
(12) Monthly Installments: PhP 1,375
2. A/C, with inverter
Price: PhP 35,000
Down Payment: PhP 13,500
(12) Monthly Installments: PhP 1,890
TASKS:
1. Create a model of the data you have by letting the down payment be the
y-intercept and the monthly payment as the slope.
2. What is the graph of the system?
3. Compute for the solution by using substitution.
Click here to see answer by ikleyn(52782) |
Question 1188623: there a 2 kinds of wreaths available at a plant shop. the basic type costs $20 and the customized wreath is $28. jorge wants at least 8 wreaths for his cafe and he can spend up to 185. write 2 inequalities that are constraints on jorge's wreath purchases
Click here to see answer by Shin123(626)  |
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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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