Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 76920: The Randolphs used 12 more gal of fuel oil in October than in September and twice as much oil in November as in September. If they used 132 gal for the 3 months, how much was used during each month
Click here to see answer by bucky(2189)

Question 76936: can you help me solve this problem
Solve and write the answer in set notation
/3x-6/>3
Here is my answer
3x-6>3 3x-6>-3
3x-6+6>3+6 3x-6+6>-3+6
3x>9 3x>3
3x/3>9/3=x>3 3x/3>3/3=x>1
{x/x>3}
Click here to see answer by Edwin McCravy(8999)

Question 76934: can you help me solve this problem
-2<2x+1
Click here to see answer by Earlsdon(6294)

Question 76964: CAN YOU TELL ME IF I DID THIS PROBLEM CORRECT
FIND THE EQUATION OF THE CIRCLE WITH CENTER (-1,9) AND RADIUS SQUARE ROOT OF 3
formula (x-h)^2 + (y-k)^2 = r^2
(x-(-1))^2 + (y-9)^2 = square root of 3
(x+1)^2 + (y-9)^2 = 3 this is my answer
Click here to see answer by funmath(2925)

Question 76963: Pump A can unload a tanker in 15 hours, Pump B can unload the same tanker in 25 hours. Because of an approaching storm, both pumps are used to empty the tanker. If the pumps begin at 2:30 a.m., what time will the job be complete?
Click here to see answer by ptaylor(2052)

Question 76987: can you help me set-up this problem
a homeowner wants a fence to rectangular garden using 150 ft of fencing. the side of the garage will be used as one side of the rectangle. find the dimensions for which the area is a maximum.
Click here to see answer by josmiceli(9817)

Question 77060: can you help me understand how to find the vertex, the line of symmetry, and range with this problem
for the graph of the function f(x)=-x^2+6x-8
a. find the vertex
b. the line of symmetry
c. find the range
Click here to see answer by jim_thompson5910(28715)

Question 77061: can you help me solve this problem
12 5
 +  = 1
3x-2 x+4

Click here to see answer by ankor@dixie-net.com(15746)

Question 77281: Solve, using two equations in two variables: This year, the total number of dogs and cats sold by the Animal Adoption Agency was 1216. Last year, 420 more cats and double the number of dogs were sold for a total of 2024. How many of each were sold this year?
Click here to see answer by stanbon(57967)

Question 77434: (1) If a,b,c are real numbers uch that a^2+2b=6, b^2+4c=-7, c^2+6a=-13, then the value of a^2+b^2+c^2 is equal to:
(A) 14 (B) 21 (C) 28 (D) 35
Click here to see answer by Edwin McCravy(8999)

Question 77572: A store bought a $1000 shipment of sweaters and offered them for sale after a $15 markup on each sweater. All but 10 sweaters were sold, and the store made a $400 profit on the sweaters. How many sweaters did the store buy?
Click here to see answer by stanbon(57967)

Question 77605: write an equation in standard form or a line with the slope of 7 and a y-intercept -2.
Click here to see answer by stanbon(57967)

Question 77787: can you help me with this problem
use the intermediate value theorem to determine whether g(x)=4x^3-3x+3 has a zero between -2 and -1
Click here to see answer by Edwin McCravy(8999)

Question 77814: can you help me understand the rational zeros theorem in this problem
use the rational zeros theorem to list all possible rational zeros of
P(x)= 3x^3-5x^2+4x-2
Click here to see answer by Edwin McCravy(8999)

Question 77898: can you tell me if this problem is correct
use long divison to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x)
P(x)=x^4+2x^3-2x+4
d(x)=x-2
answer
x-2/x^4+2x^3-2x+4=X^3+4x^2+6 remainder is 16
P=x^3+2x^3-2x+4=x-2*x^3+4x^2+6+16
Click here to see answer by chitra(359)

Question 77902: use synthetic division to find the quotient and remainder
(4x^3-6x+5)/(x-3)
Click here to see answer by ankor@dixie-net.com(15746)

Question 78066: The sum of two numbers is twenty five and the sum of their square is three hundred and twenty five. Find the numbers.
Click here to see answer by stanbon(57967)

Question 78065: 1. Find the length of a shorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotemuse is 10 miles less than twice the shorter leg.

Click here to see answer by stanbon(57967)

Question 77904: find a polynomial function of degree 3 with -2,0,3 as zeros
Click here to see answer by scott8148(6628)

Question 77881: 1. Find the length of a shorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotemuse is 10 miles less than twice the shorter leg.
2. The sum of two numbers is twentyfive and the sum of their square is three hundred and five. Find the number.
Click here to see answer by ankor@dixie-net.com(15746)

Question 78076: I am unable to answer this can someone help.
1. a) Historical data for Smith Cellular is charted below. Develop a linear model and use it to predict the amount of sales in the future years.
35
30 30____
25 26___
21.5___
15 14.2___
11.3__
10
8___
5
0
2001 2002 2003 2004 2005 2006

b) Explain your rational for the linear model that you develped. (Why did you choose the data points that you did to determine the model?)

c) Use your model to predict the sales in year 2010.
Click here to see answer by stanbon(57967)

Question 78148: Train A leaves a station traveling at 40 mph. Eight hours later trian B leaves the same staion in the same direction at 60 mgh. How long does it take for train B to catch up to train A? Thanks so much for helping me.
Click here to see answer by checkley75(3666)

Question 78338: An interior decorator has ordered 12 cans of sunset paint, 35 cans of brown, and 18 cans of fuchsia. The paint store has special pair packs, containing 1 can each of sunset and fuchsia; darkening packs, containing 2 cans of sunset, 5 cans of brown, and 2 cans of fuchsia; and economy packs, containing 3 cans of sunset, 15 cans of brown, and 6 cans of fuchsia. How many of each type of pack should the paint store send to the interior decorator? (I have the answer already; I need to set up the equations.)
Click here to see answer by Edwin McCravy(8999)

Question 78340: Can you tell me if this answer is correct?
Determine the vertical asympotes for the function
f(x)=
My answer:
, ,

Click here to see answer by Edwin McCravy(8999)

Question 78339: find a rational function that has x=4 and x=3 as vertical asymptotes, and (-2,0) as an x-intercept
Click here to see answer by stanbon(57967)

Question 78425: In this exercise,(a) find f(0),(b) solve f(x)=0. f(x)=-1/2 x + 5
Click here to see answer by rmromero(383)

Question 78435: In the "firrst quater of the year" means Januryary,Febrruary, and March. The "second quater" is April,May,and June.

Achme Reaaltors sold 23 houses during the first quater of the year and again duyring the last quater. Sales during the middle quater was not quite as good, so that tht the annual sales was 57 houses. b &B realty compaly sold 50 homes during the second quater and hald that many during the forth quater, for a total annual sales of 75 homes. Arco sold as many houes during the thurd quater as B&B sold during the entire year, but during the other three quaters they did no better then b&b during the first quater. Toget the tgree cinoabues sikd 79 giyses during the third quater.
How many houses did the three companies sell during the second quater?
Click here to see answer by stanbon(57967)

Question 78506: can you help me set up this problem and solve
find an equation of variation in which y varies directly as x, and y=72 when x=6
Click here to see answer by stanbon(57967)

Question 78539: can you help me set up this problem and solve
the current I in electrical conductor varies inversely as the resistance R of the conductor. suppose I is 0.2 amperes when the resistance is 200ohms. find the current when the resistance is 250ohms.
Click here to see answer by ankor@dixie-net.com(15746)

Question 78578: Arlene and AJ are Chemist. AJ can do an emulsion polymerization experiment in 10 hours. If AJ and Arlene work together they can do the experiment in 6 hours. How long will it takeo Arlene working by herself to do the experiment?

Click here to see answer by buz_master(1)

Question 78576: A 12 ounce can of cranberry juice sells for 84 cents. Give the unit cost in cents per ounce.
Click here to see answer by checkley75(3666)

Question 78695: Given that f(x)=3x+4 and g(x)=-x squared, find the following. 2f(5)
Click here to see answer by Septimus314(7)

Question 78756: can you help me with setting up this problem and solve
find an equation of variation where y varies jointly as x and z and inversely as the square of w and y=20 when x=0.5, z=4, and w=5.
Click here to see answer by stanbon(57967)

Question 78755: Graph the solution set of x>-4. How do I do this one. I know how to use the number line, but is there a simple way of understanding the graphing system?
Click here to see answer by stanbon(57967)

Question 78752: How do I graph the solution set of x<-7??? Someone PLEASE HELP!! Thank You
Click here to see answer by Edwin McCravy(8999)

Question 78754: How do I graph the solution set of x<-7??? Thanks ALLLLLOT to whomever, helps me with this one!!!
Click here to see answer by Edwin McCravy(8999)

Question 78788: My question is:
Mary is three years older than her twin brothers. Next year, the sum of the ages will be exactly 102. How old are they now.
The Work I have is:
m=3+b
m+b+w=102
3+b+b+w=102
3+2b+w=102
Click here to see answer by Earlsdon(6294)

Question 79013: Find the least value of the function. y=x squared+9
Click here to see answer by Nate(3500)

Question 79012: Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of each equation. y=x squared-3x-10
Click here to see answer by scott8148(6628)

Question 79076: Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of the equation. y=x squared - 3x - 10
Click here to see answer by scott8148(6628)

Question 79134: My question is: An airplane covered 22 miles of its route while decreasing its altitude by 33,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. (I know 1 mile =5280 feet)
Click here to see answer by ptaylor(2052)

Question 79140: Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of the eqution. y=6+4x-1/2 x squared
Click here to see answer by stanbon(57967)

Question 79224: In 1980 the population of Springfield was 1911. In 1990 the number of people under 20 years old increased 10%, while the number of people in the 20-60 category decreased by 8% and the number of people over 60 increased by one-third. If the 1990 population was 2136 and in 1990 the number of people over 60 was equal to the number of people 60 and under, then how many were in each age group in 1980?
I need 3 systems to solve for 3 variables, x, y, z.
I made x= people under 20, y= people 20-60, and z= 60 and older
So this is what I got:
x + y + z = 1911
1.10x + .92y + 4/3z = 2136
4/3z = 1.10x + .92y
This is how I figured each system.
1. Groups x, y, and z total to 1911 people in 1980.
2. 10% increase = 1.10*x, 8% decrease = .92*y, and 1/3 increase = 4/3z for a total of 2136 people in 1990.
3. Because z = x + y IN 1990, the terms are defined by 1990: 4/3z = 1.1x + .92y
I can't come to any solution even close, my Y keeps coming out HUGE... I'm guessing I'm misunderstanding the word problem and setting up my systems wrong. Any help?
Click here to see answer by renevencer22(21)

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