Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 358911: How could you use the product 10 times 414 = 4,140 to find the product of 12 times 414?
Click here to see answer by stanbon(75887)

Question 358946: The length of a rectangle is 8 in. more than its width. The perimeter of the rectangle is 24 in. What are the width and length of the rectangle?
Click here to see answer by mananth(16946)

Question 358950: solve 25+50.4m= 86-.6m
Click here to see answer by mananth(16946)

Question 358657: Rationalize each numerator. Simplify, if possible.

94.) √(5/3)
Can someone please help to show me the steps I would utilize in order to find the answer to the above?
Thanks so much!
Click here to see answer by Fombitz(32388)

Question 358983: What is a in this equation? 3a+2=2a
Click here to see answer by robertb(5830)

Question 358880: Throwing a wrench. 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) = -16t^2 � 32t + 128
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

Click here to see answer by ankor@dixie-net.com(22740)

Question 359026: 12a^3-9a^2+4a-3
Click here to see answer by Fombitz(32388)

Question 359155: if -13 is added to a number and the sum is doubled the result is 14 less than the number. what is the number

Click here to see answer by ewatrrr(24785)

Question 359156: 5x-7 over 5=7x+3 over2
Click here to see answer by Fombitz(32388)

Question 359167: 1.When asked to factor completely a certain polynomial, four students gave the following answers:3(x2-2x-15); (3x-5)(5x-15); 3(x-5)(x-3) and (3x-15)(x-3).Which one is the correct answer and explain why?
Click here to see answer by ewatrrr(24785)

Question 358732: I need help solving this equation: 1/3(x+9)+5 = x/3+8
Click here to see answer by Fombitz(32388)

Question 359185: 1/3a-2b=-9c
Click here to see answer by Fombitz(32388)

Question 358757: How do you find a exponential equation when given a table?
Click here to see answer by Fombitz(32388)

Question 358812: equation of m=(1/4), b = (-3/4)
Click here to see answer by Fombitz(32388)

Question 359227: The line through (-2,4)that is perpendicular to the x-axis
Click here to see answer by Fombitz(32388)

Question 359227: The line through (-2,4)that is perpendicular to the x-axis
Click here to see answer by ewatrrr(24785)

Question 359224: The line through (-2,0)with slope 3/4
Click here to see answer by Fombitz(32388)

Question 359170: -4(x-2)+3(x-1)=2(x-7)-5
Click here to see answer by nyc_function(2741)

Question 359159: A reservation clerk worked 14.4 hours one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm reservations as verifying old ones. How much time did she spend entering new reservations
Click here to see answer by aggie_tutor(13)

Question 359302: 42= 18t + 4(t+5)
Click here to see answer by rfer(16322)

Question 359348: solve for x using the addition principle: - 8 + x = -24
solve for y using the addition principle: - 1/8 + y = - 3/4
solve for a using the addition and multiplication principles: 14 - 6a = -2a + 3
Click here to see answer by stanbon(75887)

Question 359350: Please help me solve this equation and sho work in detail. 16=2-2x
Click here to see answer by stanbon(75887)

Question 359365: i have a test tomarrow and i would apprieciate it if this was answered as soon as possible :)
in the following equation was number does x stand for?
13x-4(2x-5)=15

this is how i tried doing it....
distribute first
13x-8x+20=15
combine like terms
5x+20=15
solve
15-20=-5
-5/5=-1
x=-1
im not sure if that is right...im so confused please show how you got the answer
thanks !
Click here to see answer by stanbon(75887)

Question 359380: what does x stand for?
4x-(2x=3)=7
how i did it ---
-8x-12x=7
-20x=77/20
x=7/20
thanks
Click here to see answer by Alan3354(69443)

Question 359397: Multi step equations
Two more than 5 times a number is 77. Find the number
This is what I have done so far,
5N+2 = 77
2(5) 77(2)
10. 154
154/10= 15.4
n= 15.4
Click here to see answer by Alan3354(69443)

Question 359436: 175x + 200y = 7800
solve for x
Click here to see answer by mananth(16946)

Question 359441: Divide
(25b^3 + 10b^2 + 32b + 41) / (5b + 4)
I believe the answer might be
5b^2 + 2b + 8
Please advise.
Click here to see answer by stanbon(75887)

Question 359426: (x+4)^(1/2)+5x(x+4)^(3/2)=0
Click here to see answer by robertb(5830)

Question 359444: how to solve an equation example 6m=48
Click here to see answer by edjones(8007)

Question 359468: The clarke family went sailing on a lake. Their boat averaged 6 kilometers per hour. The Rourke family took their outboard runabout for a trip on the lake for the same amount of time. their boat averaged 14 kilometers per hour. The rourke family traveled 20 kilometers farther than the clarke familt. How many hours did each family spend on their boat trip.
Click here to see answer by mananth(16946)

Question 359469: Five- sixth of a number is -60 what is the number
Click here to see answer by Fombitz(32388)

Question 359589: Given that P (2,-3) lies on the line kx+3y+9=0, find K
Click here to see answer by Alan3354(69443)

Question 359459: Juanita and carlos borrowed $4800 at a simple interest rate of 11% for a period of 2 years. what was the interest.
Click here to see answer by CharlesG2(834)

Question 359645: √ x+1 +√ x+2=1 solve this radical equation
Click here to see answer by Alan3354(69443)

Question 359667: -x+7=0
Click here to see answer by Fombitz(32388)

Question 359667: -x+7=0
Click here to see answer by ewatrrr(24785)

Question 359669: -5+(3-7)-a=8-11

Click here to see answer by ewatrrr(24785)

Question 359752: 2(x-y)=8 where x=6
Click here to see answer by Jk22(389)

Question 359849: May you explain to me how to slove 5x=4+(2x+2)? I don't really understand,how to do it when the variable is on the other side of the equal sign.
Click here to see answer by jim_thompson5910(35256)

Question 359973: 35+3x=8(1-3x)
Click here to see answer by rfer(16322)

Question 359973: 35+3x=8(1-3x)
Click here to see answer by nyc_function(2741)

Question 360025: Hi, I'm studying for a test and the problem below seems so simple, but I can't figure this out:

I multiplied by the lcd and got:
7x^2 + 6x - 4 = 0
I tried using the quadratic formula and got:

I get confused when I get a negative number in a square root, because we're learning about complex numbers in the same chapter so I don't understand why I can simplify this without using an imaginary number.
The answer on the review sheet is:

I honestly don't know how to get there. I simplified the sqrt(-76) and got 2sqrt(38) so how I'm supposed to end up with 37 in the sqrt has me really lost.
Please share your knowledge with me! I'm a little worried after struggling with this for a while now :-/
Thanks for your time.

Click here to see answer by scott8148(6628)

Question 360016: Hi, I'm studying for a test and having trouble solving the below problem:
2x^2 + 3x < 9
I'm assuming/hoping this is a completing the square problem?
x^2 + 3/2x < 9/2
x^2 + 3/2x + 9/4 < 27/4
This is where my head starts to spin lol. I'm supposed to find the square of the quadratic on the left...there has got to be an easier way to do this! If not, then I'm really not sure how I would go about factoring that equation, so any guidance you can provide is greatly appreciated!
Click here to see answer by scott8148(6628)

Question 360008: On my son's homework there are two question where we are stuck. it is another equation with variables on both sides. He says it is a no solution problem
I can get this far and no further
3(4x-2)=12x
12x-6=12x? what next? do i subtract 12x from both sides or add a 6 to both sides?

Click here to see answer by scott8148(6628)

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, 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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