Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 1161648: a nurseryvpays 1025 for 11 crates of flowering plants and 13 crates of herbs. later, the nursery pays an additional 450 for 10 more crates of herbs. what is the price of each crate of flowering plants?

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Question 1161648: a nurseryvpays 1025 for 11 crates of flowering plants and 13 crates of herbs. later, the nursery pays an additional 450 for 10 more crates of herbs. what is the price of each crate of flowering plants?

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Question 1161913: loga2 + 3+loga2=2
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Question 1161912: 2m(mn-nd)/4mn+5nd
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Question 1162313: y=3x-4 and 7y+3x=-4 where do the intersect

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Question 1162313: y=3x-4 and 7y+3x=-4 where do the intersect

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Question 1162741: In a family with only two daughters, one of the daughters is currently three times as old as the other. Two years ago the older daughter was four times as old as the younger sister was then. What is the current age of both daughters ?
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Question 1162741: In a family with only two daughters, one of the daughters is currently three times as old as the other. Two years ago the older daughter was four times as old as the younger sister was then. What is the current age of both daughters ?
Click here to see answer by ikleyn(52782) About Me 

Question 1163006: How would I write an equation in standard form with the points (3/2,-1/2) and (-1/2, 5/2)? The answer key the teacher has provided states that 6x+4y=7 is the answer, but I can't figure out how to get there.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1163006: How would I write an equation in standard form with the points (3/2,-1/2) and (-1/2, 5/2)? The answer key the teacher has provided states that 6x+4y=7 is the answer, but I can't figure out how to get there.
Click here to see answer by ikleyn(52782) About Me 

Question 1163577: Let Pn be the space of polynomials of degree n or less in variable t. Suppose,
: LP P 2 3 o is a linear transformation such that L 1 4, 3 Lt t , and
 2 1. Lt t Determine,
(i)   2 L a bt ct ,
(ii) all values of a, b and c such that     2 3 L a bt ct t t 13 2 .

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Question 1163700: what is the solution to the system below?
y=5x-9
y=x+3

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Question 1163849: y= -x-9
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Question 1164012: Natasha rides her bike (at a constant speed) for 4 hours, helped by a 24) wind of 3 miles per hour. Pedaling at the same rate, the trip back against
the wind takes 10 hours. Find the total round trip distance she
traveled.

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Question 1164012: Natasha rides her bike (at a constant speed) for 4 hours, helped by a 24) wind of 3 miles per hour. Pedaling at the same rate, the trip back against
the wind takes 10 hours. Find the total round trip distance she
traveled.

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Question 1164012: Natasha rides her bike (at a constant speed) for 4 hours, helped by a 24) wind of 3 miles per hour. Pedaling at the same rate, the trip back against
the wind takes 10 hours. Find the total round trip distance she
traveled.

Click here to see answer by MathTherapy(10552) About Me 

Question 1164132: The total cost for tuition plus room and board at a particular university in Hawaii is $2202. Tuition costs $559 more than room and board. What is the tuition fee? What does the room and board cost? Round your answer to the nearest cent if necessary.
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Question 1164175: Find the equation of the given linear function.
f(x) =
x
−15 0 15 20
f(x)
−2 −5 −8 −9
for your better understanding the numbers were in a table and it was numbers of x then the numbers of f(x)

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Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!

Click here to see answer by AndrewWillie(2) About Me 
Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!

Click here to see answer by josgarithmetic(39617) About Me 
Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!

Click here to see answer by ikleyn(52782) About Me 
Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!

Click here to see answer by greenestamps(13200) About Me 

Question 1164570:
Write a cost function for the problem. Assume that the relationship is linear.
A cab company charges a base rate of ​$2 plus 40 cents per minute. Let​ C(x) be the cost in dollars of using the cab for x minutes.

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Question 1164572: Find an equation of the line having the given slope and containing the given point.
m=-7,(6,8)
The equation of the line is y=?

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Question 1164572: Find an equation of the line having the given slope and containing the given point.
m=-7,(6,8)
The equation of the line is y=?

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Question 1164573: In the year 2009,the average annual cost to employees for employer family health coverage was approximately ​$3500.In 2014,that amount was approximately ​$4500.
​(a) Write a linear equation expressing the average annual cost to employees y in terms of the number of years x after 2000.
​(b) What was the average annual cost in​ 2014?
​(c) If the trend​ continues, what will be the first full year in which costs exceed ​$7000?

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Question 1164571:
The number​ (in millions) of employees working in educational services in a particular country was 14.4 in 2005 and 16.2 in 2014. Let x=5 correspond to the year​ 2005, and estimate the number of employees in 2008.
Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantity.
Let y represent the number of employees. The linear equation that best models the number of employees​ (in millions) is ____
In 2008,the number​ (in millions) of employees working in education services would be ___

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Question 1164696: Solve graphically and check your answer algebraically.
x-2y=4
-4x+8y=-10

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Question 1164987: Use two equations in two variables to solve the application. See Example 3. (Objective 1)
A 60-meter path surrounds a rectangular garden. The width of the garden is two-thirds its length. Find its area (in m2).

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Question 1164987: Use two equations in two variables to solve the application. See Example 3. (Objective 1)
A 60-meter path surrounds a rectangular garden. The width of the garden is two-thirds its length. Find its area (in m2).

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Question 1164986: Use two equations in two variables to solve the application. See Example 1. (Objective 1)
Chayla and Lena pool their resources to buy several lottery tickets. They win $370,000! They agree that Lena should get $70,000 more than Chayla, because she gave most of the money. How much will Chayla

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Question 1165133: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows.
3.7 2.9 3.8 4.2 4.8 3.1
The sample mean is x bar = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use α = 0.10.
Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.)

(c) Find (or estimate) the P-value.

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Question 1165233: How to graph f(x)=-2x-3
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Question 1165262: how to solve this variable linear equation
2x-y=1
6x-3y=3


x+2y=4
2x+4y=12

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Question 1165262: how to solve this variable linear equation
2x-y=1
6x-3y=3


x+2y=4
2x+4y=12

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Question 1165284: a man's wages increase from 625 naira to 7125 naira per month (1) find the increase percent (2) if the wages are taxed at 12%, find the increase in tax payment.
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Question 1165203: Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text. This characterization may be used to assess the similarity among passages of text and sometimes the identity of authors. The following information is based on an article by D. Wishart and S. V. Leach appearing in Computer Studies of the Humanities and Verbal Behavior (Vol. 3, pp. 90-99). Syllables were categorized as long or short. On analyzing Plato's Republic, Wishart and Leach found that about 26.1% of the five-syllable sequences are of the type in which two are short and three are long. Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato's time (about 427 - 347 B.C.). A random sample of 317 five-syllable sequences from the newly discovered manuscript showed that 61 are of the type two short and three long. Do the data indicate that the population proportion of this type of five syllable sequence is different (either way) from the text of Plato's Republic? Use α = 0.01.
What is the value of the sample test statistic? (Round your answer to two decimal places.)

(c) Find the P-value of the test statistic. (Round your answer to four decimal places.

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Question 1165319: Write the following as an algebraic expression . Then simplify
The total amount of money (in cents) in X quarters, (X+2) , and 2x nickels. (The value of a quarter is 25 cents, the value of a dime is 10 cents, and the value of a nickel is 5 cents.

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Question 1165320: One number is 7 times a number . A third number is 100 more than the first number. If the sum of the three numbers is 964, find the numbers
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Question 1165320: One number is 7 times a number . A third number is 100 more than the first number. If the sum of the three numbers is 964, find the numbers
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Question 1165495: Solve the equation a = m - n for the variable n.
A. n = a + m
B. n = m - a
C. n = a - m
D. n = - m - a

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Question 1165498: The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius. Use the formula C=5/9(F−32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.

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Question 1165499: The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.
Choose the correct formula.
A. h=Vπr2
B. h=Vπ/r2
C. h=Vr2/π
D. h=V/πr2
Part B
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
h = __ cm

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Question 1165497: In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. This law is represented by the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Which of the equations below are equivalent to the formula PV = nRT? Select all that apply.
A. P = VnRT
B. V = nRT/P
C. n = PV/RT
D. R = PVnT
E. T = nR/PV

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Question 1165496: Deon plans to ride a 15-mi bicycle trail. If his average speed is 20 mi/h, which equation can he use to find the time t, in hours, for the ride?
A. t = 20 × 15
B. t = 20/15
C. t = 20 - 15
D. t = 15/20

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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