Questions on Algebra: Equations answered by real tutors!

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Question 323262: Please identify the operations performed on each side of the below equation.
3(x – 1) + 4(2x + 1) = 11x + 1
How can you make this equation into a function or function(s)?
This is what I come up with, but not sure if it is correct.
3 ( x - 1) + 4 ( 2x + 1) = 11x +1 Original Problem
(3x - 3) + (8x + 4) = 11x + 1 Distributive
3x - 3 + 8x + 4 = 11x + 1 Associative
11x + 1 = 11x + 1 Commutative
11x + 1 = 11x + 1 Subtraction to cancel the 1's out
11x = 11x Division to find x
11x/11
Answer: x = 1

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Question 323263: 3(4-y)=5(y+2)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 323273: Solve the equation and check my solution
A grocery store sold 19 more cases of coke than sprite. given that 43 cases were sold, find the number of cases coke sold.

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Question 323298: Use the vertex formula to determine the vertex of the graph of f(x)=x^2=10x and write the function in standard form.
thanks
cz

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Question 323305: 1/2x - 2 = 1/3(x - 2)
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Question 323659: What is the equation of the line that passes through (3, -8) and (-6,4) ?
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Question 323659: What is the equation of the line that passes through (3, -8) and (-6,4) ?
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Question 323696: an angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t) = -16tsquared -32t +128
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Question 323712: -(m – 13) = -13m + 1
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Question 323728: 7(3x + 16) + 8 = -90
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Question 323733: -3(-9x + 2) = -x – 34
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Question 323732: -5(3x + 5) = -10x + 20
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Question 323730: 5(5r – 4) + 8 = 38
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Question 323729: -5(5n – 7) – 4 = 56
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Question 323738: If I paid $500 total for one item and sales tax of 7.75% has already been added on, how do I find out what the base price is and how much the sales tax was?
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Question 323747: 3(-n – 1) = -16n + 49
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Question 323750: Solve for t:
m = rt + 4

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Question 323751: Solve for n:
m = q(2 + n)

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Question 323771: Solve for n:
C = 4r(n + p)

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Question 323779: Julie can paint a fence by herself in 12 hours. With Betsy’s help, it takes only 5 hours. How long would it take Betsy by her self.

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Question 323769: Solve for t:
PV = nRt

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Question 323783: Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar?
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Question 323783: Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar?
Click here to see answer by checkley77(12844) About Me 

Question 323778: David and Keith are route drivers for a fast -photo company. David route is 80 miles, and Keith’s is 100 miles. Keith averages 10 mph more than David and finishes his route 10 minutes before David. What is David’s speed.
Click here to see answer by josmiceli(19441) About Me 

Question 323891: Ray and Amir each bought a used car for the same price. Each needed repairs. The repairs on Ray's car cost an additional $800 and on Amir's, $200. Amir noted, "Ray, my total cost was really only 5/6 of your total cost." How much did each pay for his used car?
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Question 323935: 9-2(7x-5)=3(x-5)
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Question 323967: How do you write a prediction equation for data points shown in a scatter plot?
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Question 323975: Which quadratic equation has roots 7 and -2/3?
a) 2x^2 - 11x - 21=0
b) 3x^2 - 19x - 14=0
c) 3x^2 + 23x + 14=0
d) 2x^2 + 11x - 21=0

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Question 323975: Which quadratic equation has roots 7 and -2/3?
a) 2x^2 - 11x - 21=0
b) 3x^2 - 19x - 14=0
c) 3x^2 + 23x + 14=0
d) 2x^2 + 11x - 21=0

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Question 324070: (6x/x-2)-6 = x-23/x-2
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Question 324016: solve by substitution
3x+6y=-15
x+2y=-5
with steps please
thank you in advance.

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Question 324142: How would I rewrite (sqrt3mn)^9 using rational exponents
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Question 324144: What does it mean to refer to a 20-in. tv set or a 25-in. tv set. Such units refer to the diagonal of the screen. A 35-in.tv set also has a width of 28-in. How do I find the height?
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Question 324211: AB x CB = _ _ 9
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Question 324227: multiply:
(-0.1x^6)(0.2x^4)

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Question 324224: add:
(8a^2 + 4a - 7) + (6a^2 - 3a - 1)

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Question 324248: 3(2x + 3)= (x - 5)
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Question 324257: hello can someone please help me with this problem:
Give an example of an identity involving a system of three equations in three unknowns.
please help me with this problem! (:

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Question 324296: I would like to know how to solve this problem:
Find the value of x using the formula x=50-6y when y=4.
Please show me how to this and explain it.
Thank you for your assistance.

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Question 324297: Hi I would really like help to solve this question.
Rewrite the following in a shortened form:
(x-3)x(x+3)=?
Please show me how to do this and explain it.
Thanks.

Click here to see answer by mananth(16946) About Me 
Question 324297: Hi I would really like help to solve this question.
Rewrite the following in a shortened form:
(x-3)x(x+3)=?
Please show me how to do this and explain it.
Thanks.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 324229: (3x^2 - 2x - 13) divide (x - 2)
Click here to see answer by prof.kolawole(1) About Me 

Question 324298: Hello tutor, I would really appreciate it if you helped me with this problem.
Complete each table using the formula given:
(a) b=3a
A= 1 2 3 4
B= ? ? ? ?
Thank you for your time and assistance.

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Question 324314: Please help me solve this problem:
When x= -1, find 2x^3-(3x)^3
Thank you your assistance is appreciated.

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Question 324434: On Sunday, a local hamburger shop sold a combined total of 520 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?

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33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580