Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Question 1194075: At some stops, a certain bus picks up 5 people. At other stops it picks up 2 and at the same time, let’s off 5. There are no other stops than these. It starts it’s run empty and picks up 5 people. At the end, it has 11 people aboard. If the number of stops is greater than 17, what is the least number of stops the bus makes?
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Question 1194353: -11q -5 > -14q - 2
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Question 1194429: The numerator of the fraction is x, while the denominator is 5 more the numerator if the value of the fraction is less than 2/5, find the value of x
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Question 1194429: The numerator of the fraction is x, while the denominator is 5 more the numerator if the value of the fraction is less than 2/5, find the value of x
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Question 1194671: The ratio of LCM to GCF is 6:1 find the LCM if one of the mumbers is 18
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Question 1194804: the flat rate for a taxi in manila is Php 45.00 in addition to the charge of Php12.00 per kilometer. Tony has no more than Php700.00 to spend on a ride. How many kilometers can he travel without exceeding his budget
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Question 1194835: What is the inequality? What is the maximum length of one side of the lawn you can mow if you can mow 36000 square feet of grass per gallon of gas and the mower has 3.6 gallons in it?
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Question 1194838: A shuttle service taking mountain climbers to the foot of the mountain charges Php150 per person each way. Four
mountaineers are debating whether to take the shuttle or to rent a car for Php450 plus Php50 per kilometer. Assuming
that the mountaineers will share the cost of the car and they want the least expensive method of transportation, how far
away is the mountain if the choose to take the shuttle service?

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Question 1194846: What is the inequality? What is the maximum length of one side of the lawn you can mow if you can mow 36000 square feet of grass per gallon of gas and the mower has 3.6 gallons in it
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Question 1194850: What is the quadratic inequality? What is the maximum length of one side of the lawn you can mow if you can mow 36000 square feet of grass per gallon of gas and the mower has 3.6 gallons in it''.
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Question 1194894: Moira is getting ready for college. She needs to have a grade of at least 85 in her Math class to qualify for the college that she wished to attend. Her math grade is based solely on the scores on 6 exams. On the first 5 exams her scores were 87, 81, 85, 90. 78. What is the minimum score does she need to get on her last test to qualify?
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Question 1195568: Can I please have help with this! Thank you.
Graph m is greater or equal(symbol) to-3
Without graphing determine which following solution have(1,4) as a solution
A. 3x+4y is greater than(symbol) 19 B. 7x-2y is greater than or equal
to(symbol)-1

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Question 1196168: An object is launched from ground level directly upward at a rate of 144
feet/sec. The equation for object’s height is
2
y x x = − + 16 144
. What values of x is the
object at or above a height of 288 feet?

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Question 1196129: Margin of Profit The margin of profit of a company is the net income divided by the total sales. A company's margin of profit increased by 0.02 from last year. Last year the company sold its product at $3.00 each and had a net income of $4500. This year it increased the price of its product by $0.50 each, sold 2000 more, and had a net income of $7140. The company never has had a margin of profit greater than 0.15. How many of its product were sold last year and how many were sold this year?

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Question 1196129: Margin of Profit The margin of profit of a company is the net income divided by the total sales. A company's margin of profit increased by 0.02 from last year. Last year the company sold its product at $3.00 each and had a net income of $4500. This year it increased the price of its product by $0.50 each, sold 2000 more, and had a net income of $7140. The company never has had a margin of profit greater than 0.15. How many of its product were sold last year and how many were sold this year?

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Question 1196362: The table gives the weights of some adult antelopes. The eland is the largest antelope in Africa p. The royal antelope is the smallest of all. Write a compound inequality that represents the different weights of these adult antelopes.
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Question 1196362: The table gives the weights of some adult antelopes. The eland is the largest antelope in Africa p. The royal antelope is the smallest of all. Write a compound inequality that represents the different weights of these adult antelopes.
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Question 1196539: Two equations can be used to track the position of a baseball t seconds after it is hit. For instance, suppose
h = −16t2 + 45t + 4.7
gives the height, in feet, of a baseball t seconds after it is hit, and
s = 103.9t
gives the horizontal distance, in feet, of the ball from home plate t seconds after it is hit. (See the following figure.) Use these equations to determine whether this particular baseball will clear a 10-foot fence positioned 340 feet from home plate.

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Question 1196593: 4x^2+5x-9 over x^2-x - 6 ≥ 0

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Question 1196593: 4x^2+5x-9 over x^2-x - 6 ≥ 0

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Question 1196838: The base of the exponential function whose graph contains the point (3,10) is____.
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Question 1197703: Nathan is going to a carnival that has games and rides. Each game costs $1 and each ride costs $3.75. Nathan spent $34 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Nathan played and the number of rides Nathan went on.
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Question 1197703: Nathan is going to a carnival that has games and rides. Each game costs $1 and each ride costs $3.75. Nathan spent $34 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Nathan played and the number of rides Nathan went on.
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Question 1198112: A new restaurant was offering a chance to win prizes to the first 79 people who came through the door. Every 7th customer received a free soda and every 12th received a free donut. How many customers received both prizes?
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Question 1198166: Inequalities of the form a < b and b > a are called strict Inequalities.
Why does this mean?
Inequalities of the form a < or = b or b > or a are called nonstrict Inequalities.
What does this mean?
Thanks.

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Question 1198290: Cherries cost ​$​4/lb. Grapes cost ​$​2.50/lb. You can spend no more than ​$15 on​ fruit, and you need at least 4lb in all. Create a graph showing the amount of each fruit you can buy.
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Question 1198290: Cherries cost ​$​4/lb. Grapes cost ​$​2.50/lb. You can spend no more than ​$15 on​ fruit, and you need at least 4lb in all. Create a graph showing the amount of each fruit you can buy.
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Question 1198340: Lantern fish are known for their vertical migrations between the mesopelagic zone, where they live during the day, into the epipelagic zone, where they feed at night. Write an inequality describing the depth (in meters) at which lantern fish live during the day.
Mesopelagic 200m - 650ft
Bathypelagic 1000m - 3300ft
Abyssopelagiv 4000m - 13,000ft

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Question 1198339: Lantern fish are known for their vertical migrations between the mesopelagic zone, where they live during the day, into the epipelagic zone, where they feed at night. Write an inequality describing the depth (in meters) at which lantern fish live during the day.
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Question 1198443: A movie theater has a seating capacity of 151. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 1084, How many children, students, and adults attended?

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Question 1198443: A movie theater has a seating capacity of 151. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 1084, How many children, students, and adults attended?

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Question 1198502: 4. The sum of James’ and David’s ages is 34 years. Five years ago, the sum of twice James’ age and three times David's age was 86 years. Using an appropriate variable for each age, form a pair of simultaneous equations and solve them to find the respective ages of the two boys.

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Question 1198976: Write a compound inequality that represents the below phrase. Graph the solution.
The total cost of dinner will be between $25 and $30, inclusive.

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Question 1199000: Solve for x the inequality equation (x+9)/(x+1) -2 > 0
The correct answer is one of the following. Which one is correct?
A) -1 < x < 7
B) x > 7
C) -1 < x < 8
D) x > 8

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Question 1199000: Solve for x the inequality equation (x+9)/(x+1) -2 > 0
The correct answer is one of the following. Which one is correct?
A) -1 < x < 7
B) x > 7
C) -1 < x < 8
D) x > 8

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Question 1199688: (2m+1)x^2 -4mx = 1-3m, has equal roots. Find the roots.
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Question 1199857: If a, b, and c are positive numbers, investigate the value of (a + c)/(b + c) when c is taken to be a very large number.
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Question 1200003: Find the other endpoint of the line segment that has the given endpoint and midpoint
Endpoint (2,1), midpoint (4,4)

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Question 1200003: Find the other endpoint of the line segment that has the given endpoint and midpoint
Endpoint (2,1), midpoint (4,4)

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Question 1200002: Graph the equation by plotting points to satisfy the equation
4x+y=-2

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Question 1200005: Find the x, and Y intercept of the graph of the equation
5x-4y=25
X- intercept (x,y)=
Y-intercept (x,y)=

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Question 1200004: Find the x, and Y intercept of the graph of the equation
4x+5y=16
X- intercept(x,y)=
Y-intercept(x,y)=

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Question 1200004: Find the x, and Y intercept of the graph of the equation
4x+5y=16
X- intercept(x,y)=
Y-intercept(x,y)=

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Question 1200229: a number divided
by .6 is 14 .what is the number

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Question 1200710: What is the answer to this quadratic inequality. X^2-144<0
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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