Questions on Algebra: Equations answered by real tutors!

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Question 1147021: 3(x-5)(x-7)=4(x+3)
Click here to see answer by Boreal(15235) About Me 
Question 1147021: 3(x-5)(x-7)=4(x+3)
Click here to see answer by solver91311(24713) About Me 

Question 1147060: What is 2 1/4k + 1 k/4 =
Click here to see answer by solver91311(24713) About Me 

Question 1147142: Make up an equation with the intercepts (3,0), (-4,0), and (0,2).
Click here to see answer by josgarithmetic(39616) About Me 

Question 1147184: The annual interest on an $8000 investment exceeds the interest earned on a $2000 investment by $392. The $8000 is invested at a 0.4% higher rate of interest than the $2000. What is the interest rate of each investment?
Click here to see answer by Boreal(15235) About Me 

Question 1147160: How many 4-digits number are there so that the sum of digits is 6?
Click here to see answer by Alan3354(69443) About Me 

Question 1147217: How to simplify the following expression: -2-(3-6x)
Click here to see answer by josgarithmetic(39616) About Me 
Question 1147217: How to simplify the following expression: -2-(3-6x)
Click here to see answer by josmiceli(19441) About Me 
Question 1147217: How to simplify the following expression: -2-(3-6x)
Click here to see answer by ikleyn(52776) About Me 

Question 1147233: 1) Rearrange the formula to find the number of days the barrister works in terms of s, c and T. If T = 32520, s = 13 and c = 18 then find b.
2) When and where we use Mean, Median, Mode, G.M and H.M?
3) Twister & Co, a local legal firm has calculated the cost of taking on a case for a client. The total cost £T of legal action is given by: T = 1780 b + 296 s + 64 c, where b is the number of days a barrister is used, s is the number of days a solicitor is used and c is the number of days a clerk is used.
4) The correlation between salaries of school teachers and amount of liquor sold during the period 1940 - 1980 was found to be 0.96, explain its business meaning.
5) Find out the regression coefficients of Y on X and of X on Y on the basis of following data:
Σ X = 50, Mean of X = 5, ΣY = 60, Mean of Y = 6, Σ XY = 350 Variance of X = 4, Var of Y = 9
6) Find the regression equation of X on Y and Yon X and the coefficient of correlation from the following data: ΣX = 60, ΣY = 40, ΣXY = 1150, ΣX 2 = 4160, ΣY 2 = 1720 and n = 10.
7) A petrol station sold 55,000 gallons of unleaded petrol in one week. The three types of fuel sold by the petrol station were in the proportion of: Super unleaded petrol 23% unleaded petrol 48% Diesel 29%
a) Calculate the total sales of fuel in that week.
b) Draw a pie chart which shows the sales of the above types of fuel.
c) How much unleaded petrol was sold?
d) How much diesel was sold?
8) The total sales of Dell Laptops from Jan 2013 to July 2014 is 3528450 determine the per month sales of laptops during the given time period
9) Find the total cost if the barrister works for 27 days, the solicitor works for 18 days and the clerk works for 59 days.
10) The table below shows the distribution of salaries of employees in Dun ford and Sons. SALARY RANGE & NO. OF EMPLOYEES
Salary range 5,000-9,999 10,000-14,999 15,000-19,999 20,000-24,999 25,000-29,999 30,000-34,999 35,000+
No. of Employees
56
134
292
149
127
38
25
a) Make the necessary calculations and draw a cumulative frequency.
b) Calculate the number of managers, given that senior managers’ salaries are £30,000 and above, and middle managers’ salaries are greater than £20,000.
c) Calculate the ratio of senior managers to middle managers.
d) Calculate the percentage of the workforce which are not senior or middle managers (i.e. other employees).
e) What is the probability of approaching any employee and finding that they are a manager?
f) i- What is the Median & Model value of the salary range also comments on shape of Distribution?

Click here to see answer by ikleyn(52776) About Me 

Question 1147254: i'm so confused about this question. i don't know what formula will i going to use and where to start. please help me.
9 cos (2theta)= -9 cos theta
please show me step by step.
thanks!

Click here to see answer by ikleyn(52776) About Me 

Question 1147257: To a police investigator, skid marks evidence is extremely important in determining how vehicles moved in a collision. Skid marks are the equivalent of fingerprints in a criminal investigation, and just as important. The speed a car was traveling can be calculated using the skid marks made as the car came to a stop. The formula for finding the speed of the vehicle is:
S equals square root of 30 times D times f times n end root
Where:
S = speed in miles per hour
30 = a constant value used in the equation
D = length of the skid marks in feet
f = drag factor for the road surface
n = braking efficiency as a percent
If a car’s speed is 70 miles per hour on a road surface with a drag factor of 0.50 and with a breaking efficiency of 85% (n = .85), what would be the length of the skid marks? Round to the nearest tenth.

Click here to see answer by ikleyn(52776) About Me 

Question 1147329: Find an equation of the line that contains the point (-5,2) and is perpendicular to the line 5x+10y=7
Click here to see answer by josgarithmetic(39616) About Me 
Question 1147329: Find an equation of the line that contains the point (-5,2) and is perpendicular to the line 5x+10y=7
Click here to see answer by ikleyn(52776) About Me 

Question 1147328: Find an equation of the line that contains the point (3,-2) and is parallel to the line 3x+2y=2
Click here to see answer by josgarithmetic(39616) About Me 

Question 1147340: Need assistance with finding an equation of the line passing through (2,5) and perpendicular to x=1
Click here to see answer by Alan3354(69443) About Me 

Question 1147380: A stock trading company charges a commission of
$15 per trade plus $0.025 per dollar value of stock traded. If your commission is $150, what was the value of the stock you traded?

Click here to see answer by ikleyn(52776) About Me 

Question 1147461: If 𝑠(𝑡)=(1/2)t^4-5t^3+12t^2, find the velocity of the object when its acceleration is zero.

Click here to see answer by Alan3354(69443) About Me 

Question 1147466: about question #874420 it doesn't explain anything, and I'm still stuck the answer doesn't even make sense, and I need the second boxcar to be 29000 thank you.
Click here to see answer by Alan3354(69443) About Me 

Question 1147477: Use the table to find the following derivatives.
(table link: https://drive.google.com/file/d/1KzxzujP-ibP2jFHxYjOC-OCdl9z81fLj/view?usp=sharing)
A) H'(4) where H(x)=xf(x)
B) H'(4) where H(x)=g(x)/f(x)

Click here to see answer by greenestamps(13198) About Me 

Question 1147478: H=-16^2+s
S=1000ft

Click here to see answer by ikleyn(52776) About Me 

Question 1147476: The graph shows the velocity of a moving object.
Link to graph: https://drive.google.com/file/d/1sx7q1hfit9ieKYOmpR3nAuhvnmoreaAt/view?usp=sharing
A) When is the particle moving forward?
B) When is the particle moving backwards?
C) When does the particle turn around?
D) When is the particle speeding up?
E) When is the particle slowing down?
F) When is the acceleration zero?
G) What is the greatest speed?
H) When does the greatest speed occur?

Click here to see answer by ikleyn(52776) About Me 

Question 1147470: Two particles move along a coordinate line. At the end of t seconds their directed distances from the origin, in feet, are given by 𝑠˅1 = 4𝑡 − 3𝑡^2
and 𝑠˅2 = 𝑡^2 − 2𝑡. When do they have the same velocity?

Click here to see answer by ikleyn(52776) About Me 

Question 1147467: A book sold 37,600 copies in its first month of release. Suppose this represents 7.3% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.

Click here to see answer by Theo(13342) About Me 

Question 1147462: Two particles move along a coordinate line. At the end of t seconds their directed distances from the origin, in feet, are given by 𝑠˅1 = 4𝑡 − 3𝑡^2
and 𝑠˅2 = 𝑡^2 − 2𝑡. When do they have the same velocity?

Click here to see answer by ikleyn(52776) About Me 

Question 1147472: The position of a particle moving along the 𝑥-axis at any time 𝑡 is given by
𝑠(𝑡)=𝑡^3−11𝑡^2+24𝑡−17.
A) Find 𝑣(5) and 𝑎(5).
B) Is the particle speeding up
or slowing down at 𝑡 = 5? Justify

Click here to see answer by ikleyn(52776) About Me 

Question 1147471: A particle moves along a horizontal coordinate line so that its position at time 𝑡 is given by 𝑥(𝑡) = 2𝑡^2 − 12𝑡. For what value(s) of 𝑡 is the particle at rest?
Click here to see answer by ikleyn(52776) About Me 

Question 1147460: A particle moves along a horizontal coordinate line so that its position at time 𝑡 is given by 𝑥(𝑡) = 2𝑡^2 − 12𝑡. For what value(s) of 𝑡 is the particle at rest?
Click here to see answer by ikleyn(52776) About Me 

Question 1147459: The position of a particle moving along the 𝑥-axis at any time 𝑡 is given by
𝑠(𝑡)=𝑡^3−11𝑡^2+24𝑡−17.
A) Find 𝑣(5) and 𝑎(5).
B) Is the particle speeding up
or slowing down at 𝑡 = 5? Justify

Click here to see answer by ikleyn(52776) About Me 

Question 1147539: David is investing his money.he thinks he should make 9$ for every 100$.how much does he expect to make on an investment of 4800
Click here to see answer by josmiceli(19441) About Me 

Question 1147474: The position of a particle moving along the 𝑥-axis is given by
𝑠(𝑡)=5+3t^2-2t^3 meters for 𝑡 ≥ 0 seconds.
A) Find the initial position, 𝑡 = 0, of the particle.
B) Find the displacement for 1 ≤ 𝑡 ≤ 3.
C) Find the average velocity for 1 ≤ 𝑡 ≤ 3.
D) Find the velocity at 𝑡 =2 seconds. Find the speed of the particle at 𝑡 = 2 seconds. Is the ball moving forward or backward at 𝑡 = 2 seconds? Justify.

Click here to see answer by Alan3354(69443) About Me 

Question 1147581: Trish made a few pans of brownies to sell. Rachel also contributed 5 pans. Each pan of brownies was cut into 12 squares. If there were a total of 84 brownie squares, how many pans of brownies did Trish make?
Click here to see answer by josmiceli(19441) About Me 

Question 1147473: The position of a particle moving along the 𝑥-axis is given by
𝑠(𝑡)=5+3t^2-2t^3 meters for 𝑡 ≥ 0 seconds.
A) Find the initial position, 𝑡 = 0, of the particle.
B) Find the displacement for 1 ≤ 𝑡 ≤ 3.
C) Find the average velocity for 1 ≤ 𝑡 ≤ 3.
D) Find the velocity at 𝑡 =2 seconds. Find the speed of the particle at 𝑡 = 2 seconds. Is the ball moving forward or backward at 𝑡 = 2 seconds? Justify.
E) How long does it take for the velocity to reach −36 m/s?
F) Find the acceleration at 𝑡 = 2 seconds.
G) Find the velocity when the acceleration is 0 m/s^2.

Click here to see answer by Alan3354(69443) About Me 

Question 1147650:
Click here to see answer by josgarithmetic(39616) About Me 
Question 1147650:
Click here to see answer by MathTherapy(10551) About Me 

Question 1147677: The perimeter of a triangle is given. The perimeter of the triangle is 6x. The length of each side is x + 3 and 2x + 4. Find the length of the third side.
Click here to see answer by Alan3354(69443) About Me 

Question 1147772: two runners begins jogging in opposite direction from the same point at the same time . one runner jogs 1 mph faster then the other. if in half an hour the joggers are 6 mile a part then how fast was each jogging.
Click here to see answer by josgarithmetic(39616) About Me 

Question 1147790: Your parents give you $160 for summer vacation. You decide to spend $8 a day. Write an equation in slope intercept form. Then put it in a table and graph it.
Click here to see answer by josmiceli(19441) About Me 

Question 1147874: If Jack's age is three years more than Tina's age, t, then which of the following represents the sum of their ages in terms of t?
(1) 2t+3 (2) 2t squared + 3t
(3) 2t+3t (4) 3t+3

Click here to see answer by Alan3354(69443) About Me 

Question 1147883: -2x-y=-9
5x-2y=18

Click here to see answer by Alan3354(69443) About Me 
Question 1147883: -2x-y=-9
5x-2y=18

Click here to see answer by josgarithmetic(39616) About Me 

Question 1147886: A 10 foot long balance bar (of negligible weight)as a 50 pound weight applied at the left end and a 75 pound weight applied on the right end. How far is the fulcrum point located from the right end?
Click here to see answer by greenestamps(13198) About Me 
Question 1147886: A 10 foot long balance bar (of negligible weight)as a 50 pound weight applied at the left end and a 75 pound weight applied on the right end. How far is the fulcrum point located from the right end?
Click here to see answer by ikleyn(52776) About Me 

Question 1147892: There are 54 people remaining after 37 left a dance. Write and solve an equation to find the number of people who were orginally at the dance.
Click here to see answer by ikleyn(52776) About Me 

Question 1147933: One counting number is 4 times as great as a second counting number. The product of the two numbers is 36. What is the sum of the two numbers?
Click here to see answer by Alan3354(69443) About Me 

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, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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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, 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