Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 200270: One leg of a triangle is 14 meters longer than the other leg. Thy hypotenuse is 26 meters long. Find the length of each leg.
26=14n+n This is the equation I came up with.
Click here to see answer by MathTherapy(1427)

Question 200246: HI all, I need some help with the following problems. I dont expect answers to all of them, but if someone can give me 1 or more with explanations that would be great. I need to Solve the following 3 seperate equations for x
1. x = 2^x+1 = 27
2. x = 4x+2 = 256
3. x = 42x+2 = 256
All 3 are seperate and need seperate answers, if someone an give me some help il be very gratefull.
-Nick
Click here to see answer by ankor@dixie-net.com(15661)

Question 200271: Find two consecutive odd integers such that the square of the first added to 3 times the second is 24.
n^2+3(n)=24 This is the equation I came up with
Click here to see answer by checkley77(12569)

Question 200266: Find the length of a ladder leaning against a building if the top of the ladder touches the building at a height of 12 feet. Also the length of the ladder is 4 feet more than its distance from the base of the building.
n=4n+12
Click here to see answer by checkley77(12569)

Question 200264: The longer leg of a right triangle measures 2 feet more than twice the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter leg. Find the length of all 3 sides.
3+2n=2+2n+n-I am not sure if this is correct or not.
Click here to see answer by checkley77(12569)

Question 200338: 4ab = 12b-4; solve for a
Click here to see answer by jim_thompson5910(28598)

Question 200337: m=2/3nop; solve for p
Click here to see answer by jim_thompson5910(28598)

Question 200357: Hi all, im not sure whether this is really a proper question. But I need to know if there is a correct manaula method with full working to do the following. I normally do them on calculator but want to know if I should be showing working.
For the following: Find all angles between 0 and 360 which satisfy's the equations sin theta = 0.5
I have several otehr along the same lines an just wanna make sure im not doing them incorrectly.
Thanks, -Nick.
Click here to see answer by RAY100(1637)

Question 200359: Hi all, was just wondering if someone could show me what the correct way to complete and show all working for the following problems. There are a few seperate problems I have to do. I need to solve for x and y for the following.
1. 5x -2y = 1
2. 2x+ y = 11
3. 5x - 3y = 1
Thnaks guys, -Nick.
Click here to see answer by Alan3354(30993)

Question 200399: Ok, so the problem started as 7/2x+1/2x=3x+3/2+5/2x. The goal of the problem is to clear the fractions and solve for x. When I cleared the fractions I came up with:
7x+1x=3x+3+5x I started to combine like terms and came up with:
8x=8x+3
Now I am stuck.
Thanks!
Click here to see answer by jim_thompson5910(28598)

Question 200388: y=2x^2
Click here to see answer by checkley77(12569)

Question 200462: how to solve this equation "(5x+30)+y=180" ?
Click here to see answer by jim_thompson5910(28598)

Question 200467: How do i do this? Write the equation of the line perpendicular to - 3x - 4y = 10 with a y-intercept of -5. Thank you.
Click here to see answer by jim_thompson5910(28598)

Question 200468: V = T + s(b+x) solve for x.
Click here to see answer by jim_thompson5910(28598)

Question 200491: Hi again, I am having some recurring trouble with the following.
I need to solve for x and y for the following problems. The 2 are not related and do not need the same answer. They are two seperate similiar problems that need seperate answers.
1. 12x + 4y = 20 2. 5x - 3y = -1
If someone could show me working with steps and explanations on both that would be greatly appreciated.
Thanks, -Nick.
Click here to see answer by vleith(2825)

Question 200489: Hi all, i need some help with the following. I would like to know how to do this and similiar problems so please show all working with steps and explanations where possible. I need to solve for x for the following:
1/5x + 1/x = 1/15
Thanks, -nick.
Click here to see answer by RAY100(1637)

Question 200487: Hi guys, was hoping someone could help me with the following 2 similiar problems: For this first one I have to multiply the expression:
(2x-2)(x^2+5x-4)
If someone could show me how with steps that would be great.
The second problem is I have to simplify the following:
1/(x-2) + (5/x)
Info and steps on this one wwould also be greatly appreciated.
Thanks, -Nick
Click here to see answer by checkley77(12569)

Question 200537: I am needing help with a problem...-1/3y+2/9=1/2...can anyone help me?

Click here to see answer by jim_thompson5910(28598)

Question 200539: what must x be so that the difference between y and z is 2.5?
y-z=10x
Click here to see answer by Alan3354(30993)

Question 200456: Hi!
You invest $15,000 in an account with an interest rate of 8%. If interest accrues continuously how long will it take for your investment to double?
thanks for the study help!
Click here to see answer by Alan3354(30993)

Question 200545: -7z+2z-3z-7=17
Click here to see answer by rfer(12670)

Question 200383: y=-1/4x
____
4
Click here to see answer by RAY100(1637)

Question 200580: Hi all, Can someone please show me, with working; how to differentiate the following with respect to x.
These are three seperate equations with seperate answers.
1.
2.
3.
If someone could show me one or all 3 that would be great.
Thanks, -nick.
Click here to see answer by Edwin McCravy(8912)

Question 197775: Consider the formula n(A U B) = n(A) + n(B) - n(A ∩ B).
(a) Show that this relation holds for A = {1, 2, 3, 4} and B= {2, 4, 5, 6, 7, 8}
(b) Make up your own two sets A and B, each consisting of at least six elements. Using these two sets, show that the relationship above holds.
(c ) Use a Venn diagram and explain why the relation holds for any two sets A and B.

Click here to see answer by Edwin McCravy(8912)

Question 200581: Hi agin, was wondering if someone could please show me how to find the anti-derivative of the following:
5x^-3 - 3e^6x + 4/x
If someone can provide full working with steps and explanations that would be fantastic.
I also have to find the anti-derivative of:
e^2x
If someone can show me how to do this also I will be very grateful.
Thanks, -Nick.

Click here to see answer by vleith(2825)

Question 200579: Hi all, im still struggling to do these graph problems, could someone please show me how to do the following.
Sketch the Graph of y = 10/(x+5) - 2
I need to see how it is done with all working and have everything labelled on the sketch.
If someone can show me orr give me a similiar example with steps that would be very helpful.
Thnaks, -Nick.
Click here to see answer by Alan3354(30993)

Question 200741: verify that x=-2 is solution of equation 3(2x+3) - x*x = 2x + 7
Click here to see answer by RAY100(1637)

Question 200745: Separate 152 into 2 parts such that if the bigger number is divided by the smaller number, the result is 5/2.
Click here to see answer by checkley77(12569)

Question 200745: Separate 152 into 2 parts such that if the bigger number is divided by the smaller number, the result is 5/2.
Click here to see answer by RAY100(1637)

Question 200744: Jolina and Judy Ann can encode a term paper in 3 3/5 hours. Jolina can do it by herself in 6 hours. How long would it take Judy Ann to encode the term paper by herself?
Click here to see answer by checkley77(12569)

Question 200769:
Click here to see answer by rfer(12670)

Question 200843: 5.8 + [-log(10^-6)-log(1)-2](2.9)= x
Click here to see answer by nerdybill(6963)

Question 200855: Evaluate the piecewise function for x = 2 and x = -3
f(x)= { 5x-1 for x < 2
{ 9x for x > 2
Click here to see answer by stanbon(57395)

Question 200916: From the currency exhange rate talbe shown in table 5-2, 1.0000 EUR is equivalent to 0.7615 USD. Use a proportion to convert $2500 to EUR.
This is what I did
1=2500
0.7615 x
x=1903.75 However the answer is 1904.04

Click here to see answer by Alan3354(30993)

Question 200895: please help. what is 20am-m+ma ?
Click here to see answer by RAY100(1637)

Question 201005: solve the equation 3(2y - 5)= 5(y+2)for y
Click here to see answer by rfer(12670)

Question 201045: Perform the indicated operations. Give the answer in lowest terms.
(7)/(r)+(7)/(r-8)
Click here to see answer by RAY100(1637)

Question 201053: Some real numbers are integers.
A) True
B) False
Click here to see answer by RAY100(1637)

Question 201052: Solve the equation.
36x - 2 = 6
Click here to see answer by Mathtut(3670)

Question 201050: Factor completely.
2x^2 - 12x + 16

Click here to see answer by Mathtut(3670)

Question 201055: Find the largest of three consecutive even integers if the sum of the two smaller integers is 16 more than the largest integer.
Click here to see answer by RAY100(1637)

Question 201056: Find the smallest of four consecutive even integers if twice the sum of the second and thrird ingers is equal to the sum of the first and the fourth integers increase by ten.
Click here to see answer by josmiceli(9697)

Question 201049: Factor completely.
x^2 + 3xy - 208y^2
Click here to see answer by Alan3354(30993)

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