Tuesday

January 27, 2015

January 27, 2015

Total # Posts: 28,751

**Geometry**

1. yes 2. x = 1 is correct so LM = 6 and MN = 6 which makes M the bisector. You are also right to call M the midpoint, but it asked if M is a bisector. Isn't that basically the same thing? Since "bisect" means cutting into two equal parts.
*September 6, 2014*

**Geometry**

Verify you answer by drawing a number line, putting in the values you found or those that were give and "count"
*September 6, 2014*

**Geometry**

the midpoint is the "average" of the two values so for the 1st: (4 + (-6))/2 = -2/2 = -1 in the second, you are given the "average" let one of the endpoints be x so (2+x)/2 = -4 multiply by 2 2+x = -8 x = -10
*September 6, 2014*

**Algebra**

Bill's rate = 1lawn/45 Jim's rate = 1lawn/75 combined rate = 1lawn/45 + 1lawn/75 = 8lawn/228 time at combined rate = 1lawn/(8lawn/225) = 1lawn (225/8lawn) = 225/8 = 28.125 minutes notice the "lawn" divided out, so we could really have used anything at all. ...
*September 6, 2014*

**Algebra**

given: D/A = .8 = 8/10 = 4/5 5D = 4A A = 5D/4 from A = D + E, since we want D/E, why not divide the equation by E to create the D/E in your equation ? A/E = D/E + 1 (5D/4)/E = D/E + 1 5D/(4E) - 4D/(4E) = 1 D/(4E) = 1 D/E = 4
*September 6, 2014*

**Algebra III**

To be able to multiply two matrices, the number of columns of the first must match the number of rows of the second For your example that is the true 2 by 3 vs 3 by 5 the result will be 2 by 5
*September 6, 2014*

**COORDINATE GEOMETRY**

confusing wording .... You are asking for coordinates of A, but you gave me A as (1,2) (is your cap key stuck? )
*September 6, 2014*

**maths**

general term of an AS term(n) = a + (n-1)d for yours a = 25 , d = 2 and n = 10 term(1) = 25 + 9(2) = .......
*September 6, 2014*

**oops - algebra**

Sorry, gave you the same link twice should have been this for synthetic division https://www.khanacademy.org/math/algebra2/polynomial_and_rational/synthetic-division/v/synthetic-division
*September 6, 2014*

**algebra**

You will need to know "algebraic long division" It is very difficult to show it on this text format, but this webpage has a couple of good examples http://www.sosmath.com/algebra/factor/fac01/fac01.html Try your questions by following the above method If the ...
*September 6, 2014*

**maths**

I assume you know the properties of tangents with circles. Join XW and YZ, label their intersection point V XW bisects angle X, and XW right-bisects YZ Label angle WXZ as Ø sinØ = 60/158 = 30/7 Ø = sin^-1 (30/79) Join WZ, where WZ is the radius and we have...
*September 6, 2014*

**algebra 2**

This is how I would have expected my students to do this -2(3y-6)+4(5y-8)=92 -6y + 12 + 20y - 32 = 92 14y - 20 = 92 14y = 92 + 20 14y = 112 y = 112/14 y = 8 F = 3r+5 (just a translation of the English to Math) for you last problem isn't p = 10 ? So plug it in and solve the...
*September 5, 2014*

**need answer to check sons work**

see previous post If your son does not use variables such as x, you could just pick some arbitrary time, say ... kaye's time is 50 seconds and do what I did in the previous post
*September 5, 2014*

**algebra**

create a chart, listing their times: kaye's time ---- t seconds alicia's time ---- t-3.75 carmen's time --- t - 10 donna -------- (t-10) + 5.09 etc you will be able to answer the question
*September 5, 2014*

**Math PLease help**

day 1 -- 1 cent = 2^0 day 2 -- 2 cents = 2^1 day 3 -- 2^2 or 4 cents ... day 30 = 2^29 day 31 = 2^30 = 1,073,741,824 cents = $ 10,737,418.24
*September 4, 2014*

**Math-please help!!**

let the number of girls be x total in class = x+12 number of students who do not volunteer = (x+12)/2 but this is 15 (x+12)/2 = 15 x+12 = 30 x = 18 So there are 18 girls in the class.
*September 4, 2014*

**math**

How did you get that ?? 300(1.04)^5 = 300(1.2166529...) = $364.9959.. = $365.00 to the nearest cent
*September 4, 2014*

**math**

number = 300(1.04)^5 = .....
*September 4, 2014*

**algebra 2**

gallons of 5% milk --- x .05x + .01(90) = .02(x+90) times 100 5x + 1(90) = 2(x+90) 5x + 90 = 2x + 180 3x = 90 x = 30
*September 4, 2014*

**pre calculus algebra**

second number --- x first number = 6x-3 x + 6x-3 = 32 7x = 35 x = 5 one is 5 , the other is 27
*September 3, 2014*

**algrebra**

Just sub in the values and do the arithmetic. I will do the harder one x = -3 ...... 4(-3)^2 - 6(-3) + 9 = 36 + 18 + 9 = ....
*September 3, 2014*

**algrebra**

it is all done
*September 3, 2014*

**Math**

your factored version is incorrect, the last term is wrong 2x(3x^2 + x - 4) = 0 which factors further to 2x(3x + 4(x - 1) = 0 so .. x = 0 or x = -4/3 or x = 1
*September 3, 2014*

**Math**

By the "just - look - at - it " theorem, I can see that your solution cannot possible work your answer of 7.93 is appr 8 .69..(8) is about 5.6 1.-3...(8)(.3...) is about 1/3 of 8 or about 2.7 5.6 +2.7 ≠ 63.5... Give it another serious try
*September 3, 2014*

**Math**

use your calculator to see if it works for your given equation.
*September 3, 2014*

**Math**

suppose you had 4x + 3(7x) = 55 I am sure you could solve that. now follow the same steps for your equation.
*September 3, 2014*

**algebra**

Wow, that is some creative algebra I assume your equation is √(2-w) = w , or is it √2 - w = w (notice how my brackets totally change the meaning of the problem) I will assume the first square both sides (√(2-w) )^2 = w^2 2 - w = w^2 w^2 + w - 2 = 0 (w+2)(w-1...
*September 3, 2014*

**Honors Pre Calculus**

We could use either a sine or a cosine function, you did not specify which, but I will use sine It must be of the type height = a sin k(Ø + d) + c period = 12 s = 2π/k 2π/k = 12 k = 2π/12 = π/6 also we know a = 25 so far we have height = 25 sin π...
*September 3, 2014*

**algebra 2**

f(x) = 4(x-1)^2 - 8 = 4(x^2 - 2x + 1) - 8 = 4x^2 - 8x + 4 - 8 = 4x^2 - 8x - 4
*September 3, 2014*

**algebra**

what you meant in your second line was: 8i + 4i^2 + 8i^2 - 2i = 6i + 12i^2 = 6i + 12(-1) = 6i - 12
*September 3, 2014*

**Math**

this year: middle : high = 2 : 7 = 2x : 7x 2x = 18 x = 9 so this year we have 18 high and 63 middle for a total of 81 students last year: middle : high = 1:8 = y : 8y but y + 8y = 81 y = 9 So last year we had 9 middle and 72 high school students So difference in high = 72-63 ...
*September 3, 2014*

**math**

6x10^24 / 8x10^8 = 7.5x10^15 explanation (6/8) = .75 10^24 / 10^8 = 10^16 so .75 x 10^16 = 7.5 x 10^15
*September 3, 2014*

**Math**

two width, each of x one length of y y + 2x = 120 y = 120 - 2x area = xy = x(120-2x) = 120x - 2x^2 1. 120x - 2x^2 = 1350 x^2 - 60x + 675 = 0 (x - 45)(x + 15) = 0 x = 45 or x = -15, the last we will reject if x = 45 , y = 30 2. area = 120 - 2x^2 is a parabola which opens ...
*September 2, 2014*

**Math**

depends on the length of the roll, which you did not state Whatever it is, divide it by 2/5 m e.g. suppose it is 30 m long number of pieces = 30/(2/5) = 30(5/2) = 75 pieces
*September 2, 2014*

**Math 112**

Right now there are 99 managers. (99 - x)/(100-x) =98/100 9900-100x = 9800-98x -2x = -100 x = 50 check: now there are 99 managers so 50 will leave leabing 49 managers out of the 50 remaining people 49/50 = 98%
*September 2, 2014*

**MA112 HELP PLEASE**

Let's look at $1000 after 3 years depreciation of 10% amount = 1000(.9)^3 Then this appreciates for 3 years at 10% final amount = 1000(.9)^3 (1.1)^3 = 970.30 So what do you think?
*September 2, 2014*

**Algebra 2**

It means that the answer to your square root is negative. e.g. √25 = 5 but -√25 = -5 not to be confused with √-25 which is not a real number.
*September 1, 2014*

**Algebra 2**

Did you not read my reply to your previous question? Do you not have a calculator? ( I needed one to give you the previous answer. )
*September 1, 2014*

**Algebra 2**

Depends what accuracy you want. Since 2√5 is irrational, the decimal will not repeat with any definite pattern, nor will it end 2√5 = appr 4.472 correct to 3 decimals or 2√5 = appr 4.47213596 correct to 8 decimal places
*September 1, 2014*

**misread the question**

Just noticed the square root part Of what are you taking the square root ? You will need to use brackets, e.g. √(3x + 2y) + 5x = 4 or ... √(3x) + 2y + 5x = 4 or can you see the problem if you don't use brackets ??
*September 1, 2014*

**algebra**

3x + 2y +5x=4 8x = 4 - 2y x = (4 - 2y)/8 or x = 1/2 - (1/4)y
*September 1, 2014*

**math homework**

Are these feet and inches ?? 8 5/12 + 11 1/4 feet = 236 inches = 236/12 feet = 19 feet, 8 inches or 8 5/12 feet + 11 1/4 feet = 8 5/12 + 11 3/12 = 19 8/12 = 19 feet, 8 inches go metric to avoid such silly arithmetic
*September 1, 2014*

**math**

4% reads as " 4 percent" which means " 4 per hundred" = 4/100 = 1/25
*September 1, 2014*

**Math**

Assuming the two given points are the endpoints of the hypotenuse, length of hypotenuse = √( (4-2)^2 + (-3-3)^2 ) = √(4 + 36) = √40 or 2√10
*September 1, 2014*

**Pre cal**

domain is your choice of x's that will give you a valid y Remember we can't divide by zero so (x+3)(x-1) ≠ 0 so when do we get a zero ? That happens when x = -3 or x=1 so Domain: all values of x except x = -3 or x = 1 2 . The range of a function is the resulting ...
*September 1, 2014*

**Math**

c) if x=7 , A = 4.8 ---> (7,4.8) if x = 23, A = 3.2 ---> (23, 2.3) slope = (2.3 - 4.8)/(23-7) = -.1 so A = -.1x + b for one of the points, say (7 , 4.8) 4.8 = -.1(7) + b b = 4.8 + .1(7) = 55 so A = -.1x + 55 your equation from b) has been verified. e. 2.8 = -.1x + 55 .1x...
*September 1, 2014*

**mathzzzzzzzzzzzzzzzzzzzzz i want plzzzzzzzzzzzzzz**

number of rows ---- x numbr of people in a row --- x so x^2 = 3249 x = √3249 = 57
*September 1, 2014*

**Math**

46/60 = x/40 60x = 1840 x = appr 30.7
*September 1, 2014*

**Calculus**

#1 contains a typo, fix the ^0 #2 let the first leg be x cm and the second leg be y cm given: dx/dt = -.5 dy/dt = 2 find: dA/dt , when t = 2 A = (1/2)xy dA/dt = (1/2)(x dy/dt + y dx/dt) at the given time of 2 minutes x = 16 - 2(.5) = 15 y = 12 + 2(2) = 16 dA/dt = (1/2)(15(2...
*August 31, 2014*

**Trigonometry**

Look at the first of the "Related Questions" below. The poster had forgotten to give one of the angles and in Steve's solution he called it A. In your problem we know A = 36° so all you have to do is replace A with 36 and go for it. You should get appr 59.86
*August 31, 2014*

**algebra**

nothing showing to select from , so let's just solve it -3x^2 + 6x + 9 = 0 x^2 - 2x - 3 = 0 , after dividing by -3 (x-3)(x+1) = 0 x = 3 or x = -1 this must be one of your choices
*August 31, 2014*

**Math**

Makes no sense Are you mixing up two different questions?
*August 30, 2014*

**Math**

let the height be h m area of floor = 15(12) = 180 m^2 area of ceiling = 180 m^2 area of the 4 walls = 2(15)h + 2(12)h = 54h 54h = 360 h = 20/3 m volume = 12(15)(20/3) = 1200 m^3 (Wow, the ceiling is over 6 m high? very poor design for a classroom)
*August 30, 2014*

**Math**

1 acre = 0.4046856 hectares 640 acres = appr 259 hectares or, it depends if you mean a Scottish acre an Irish acre a Cheshire acre or a Roman acre , each of which has a different value, pointing out the silliness of the Imperial system of measurement
*August 29, 2014*

**Calculus 2**

y = x^(1/3) y^3 = x y^6 = x^2 Vol = π∫(1^2 - x^2) dy from 0 to 1 = π [ y - y^7 /7] from 0 to 1 = π(1 - 1/7 - 0) = 6π/7
*August 29, 2014*

**math**

c^2 = 40^2 + 25^2 = 2225 c = √2225 = appr 47.17 ft
*August 29, 2014*

**probability**

Since you are replacing the card, the prob of the first event is the same as the second event prob(your event) = (4/52)(4/52) = 1/169
*August 29, 2014*

**Math**

size = a(2)^t , where t is the number of days when t = 30 , size = 6 6 = a(2)^30 a = 6/2^30 1.5 = ( 6/(2^30) )( 2^t) 1.5 = 6 (2^(t-30) ) .25 = 2^(t-30) log .25 = log 2^(t-30) log .25 = (t-30)log 2 log .25/log 2 = t-30 t = log .25/log 2 + 30 = appr 23.356 23 days and 8.5 hours
*August 29, 2014*

**AP Calc. AB**

Since you labeled it Calculus, .... dh/dt =56 - .82t when t = 1 dh/dt = 56 - .82(1) =55.18 m/s
*August 29, 2014*

**math**

let today's salary be x x(1.04)^30 = 80000 x = $24,665.49
*August 29, 2014*

**math**

#1. correct #2. no, you need 7^3/7^5 = 7^-2 , so your choice would be the exponent +3 #3. 2^-5 = 1/2^5 = 1/32 #4. 5^-6 x 5^2 / 5^-8 = 5^-4 / 5^-8 = 5^4 #5 8^-5 / (8^-7)^2 = 8^-5 / 8^-14 = 8^9 mmmh, one correct out of 5, looks like some review of multiplying and dividing powers...
*August 29, 2014*

**Precalculus**

width --- x ft length --- x+3 ft 2x + 2(x+3) = 62 take over.
*August 29, 2014*

**statics**

So there were 53 boys and 47 girls prob(girl) = 47/100 or .47
*August 28, 2014*

**maths**

no -|-4} = -4 |-(-4)| = |4| = 4
*August 28, 2014*

**Calculus**

Last time I was on this earth, gravity would cause an equation of the type y = -16t^2 ..... So assuming you have a typo and it should have been y = 35t - 16t^2 Second problem: the ball would not be in the air for 4 seconds, so your whole first question is actually just ...
*August 28, 2014*

**Geometry**

strange question, since you say angle AOD = 6x and then angle AOD = 110 So clearly 6x = 110 x = 110/6 = 18 1/3 ° so from that evaluate angle BOC I somehow suspect a typo
*August 28, 2014*

**Geometry**

You don't say what kind of figure you are talking about. There are four points mentioned, so you will have to describe the figure
*August 28, 2014*

**math**

or the area of the whole board = 11(64) = 704 cm^2 the side is √704 = appr 26.533 cm
*August 28, 2014*

**Advanced Math**

1. Written in more "mathematically friendly language" Factor fully: 120 - 36 = 12(10 - 3) 2. - express each number in factored form - Your GCF consists of the products of all the factors found in ALL three numbers e.g. 60 , 84, and 150 60 = 2x2x3x5 84 = 2x2x3x7 150...
*August 28, 2014*

**finance**

difference = 5000( 1.09^30 - 1.08^30) = $16,025.11
*August 28, 2014*

**finance**

let the payment be P i = .075/12 = .00625 n = 12(30) = 360 P( 1 - 1.00625^-360)/.00625 = 149000 P = 1041.83 So interest = 1041.83(360) - 149000 = $226058.66 (the calculation of total interest paid is really not a realistic actuarial calculation, since we are ignoring the fact ...
*August 28, 2014*

**finance**

present value = 235( 1 - (1+.0775/12)^-48)/(.0775/12) = $9672.48
*August 28, 2014*

**Math**

so you want LW = 120 where L and W are composite , where composite means not prime 120 = (using integers only) 1 x 120 2x60 3x40 * 4x30 * 5x24 6x20 * 8x15 * 10x12 * I have labeled the ones without a prime number with an * so I count 5 of them Your choice of 40 by 4 wouldn'...
*August 28, 2014*

**probability/Geometry**

From your data F (Family doctor) = 240 I (inside the US) = 400-130= 270 FI = (2/3)(240) = 160 Make a Venn diagram using a rectangle with two overlapping circles inside, label one F and the other I Place 160 for FI, the intersection of the two circles Place 240-160 or 80 in the...
*August 28, 2014*

**Huhh ? - Intermediate Algebra**

32-4-2-16-4 = 6 What is the problem here ?
*August 27, 2014*

**College Algebra**

Is there a question? Your equation is correct.
*August 27, 2014*

**math**

or Once you have bobpursley's equation of (x-3)^2 + (y+1)^2 = r^2 sub in one of the points on the circle, I will use (-1,3) (-1-3)^2 + (3+1)^2 = r^2 16 + 16 = r^2 = 32 (x-3)^2 + (y-1)^2 = 32 I noticed that bob had the centre as (3,1), should have been (3,-1)
*August 27, 2014*

**trigonometry**

For any quadratic equation, if you have irrational or complex roots, they will always come as conjugate pairs, just like your given roots method one: use the fact that if x=a is a root, then x-a will be a factor of your equation, so 1. (x - (2+√5))(x - (2-√5) = 0 (...
*August 27, 2014*

**Check my math please ASAP**

#1 is incorrect it should be C think of the number line, -4 is to the right of -9 so -9 < -4 , not > The other three are correct
*August 26, 2014*

**Math**

follow the same steps I just showed you in your previous question of this type of problem. Let me know what you get
*August 26, 2014*

**Math 114**

Without even checking the answer by substitution, it sound unreasonable right from the start. Since the 588 kg sells for $12 and was mixed from a $11 and a $13 source, we would expect the split to be about half way. 11x + 7644 - 13x = 7056 -2x = -588 x = 294 well, what a ...
*August 26, 2014*

**Math 114**

amount of Kenyan coffee --- x amount of Turkish coffee --- 588 11x + 13(588-x) = 12(588) solve for x and you got it
*August 26, 2014*

**Math**

let their current salaries be 2x : 3x : 5x new ratios are 2x(1.15) : 3x(1.1) : 5x(1.2) = 2.3x : 3.3x : 6x = 23 : 33 : 60
*August 26, 2014*

**MA**

well, let's try it ... a/b = (a+b)/b times b, if b ≠0 a = a+b then b = 0 but now we have a contraction, so ..... or cross - multiply ab = ab + b^2 b^2 = 0 b = 0 , but that would make a/b undefined, so what do you think?
*August 25, 2014*

**math**

Don't know what you mean by "work this" The way you typed it, there is no useful simplification. If you meant (6x^2 + 7)/(3x^2 + 1) , there is no useful simplification After a long division you could state the answer as 2 + 5/(3x^2 + 1) , but certainly not what ...
*August 25, 2014*

**Math**

don't switch names, I responded you you before http://www.jiskha.com/display.cgi?id=1408984634 The way you have it, the sum is 206 Why is this a difficult question for you, why not just add them up ??
*August 25, 2014*

**Math**

I will assume you meant ... x^(log10 x = 100 then by definition: logx 100 = log10x changing to a common base of the log ... log10 100/logx = logx/log1010 2/log10x = log10 x/1 (log10 x)^2 = 2 log10 x =√2 using my calculator x = appr 25.9546 or x = appr .03853 (both ...
*August 25, 2014*

**check (math)**

Yup !
*August 25, 2014*

**Math**

Is there a typo ? Your first term does not fit the pattern
*August 25, 2014*

**Math**

radius of larger circle --- r radius of smaller circle --- r-1 circumf of large ---- 2πr circumf of smaller = 2π(r-10 but 2πr = 4(2π(r-1)) 2πr = 8πr - 8π divide each term by π and rearrange equation -6r = -8 r = 8/6 = 4/3 larger has ...
*August 19, 2014*

**Math**

original radius --- r new radius ------ r+1 original area = πr^2 new area = π(r+1)^2 π(r+1)^2 - πr^2 = 16π divide by π and expand ... r^2 + 2r + 1 - r^2 = 16 2r = 15 r = 7/5 units check: old area = π(7.5)^2 = 56.25π new area = π(8.5...
*August 19, 2014*

**math**

None of your "following points" are showing up Point with integer values on the circle are (5,0), (-5,0), (0, 5) , (0, -5) (3,4) ,(-3,4) , (3, -4), and (-3,-4) Jodie's point of (0,-4) does not lie on the circle the equation would be x^2 + y^2 = 25 so sub in your ...
*August 19, 2014*

**math**

x^2-3x-8=0 x^2 - 3x = 8 x^2 - 3x + 9/4 = 8 + 9/4 (x - 3/2)^2 = 41/4 x - 3/2 = ±√41/2 x = 3/2 ± √41/2 = (3 ±√41)/2 to find the term to be added to each side, take 1/2 the coefficient of the x term , then square it that is, 1/2 of 3 is 3/2...
*August 19, 2014*

**Volume**

Let the volume be V at a rate of 125 L/h, time would be V/125 hrs at a rate of 150 L/h, time would be V/150 hrs V/125 - V/150 = 1 1/3 = 4/3 times 750 6V - 5V = 1000 V = 1000
*August 19, 2014*

**Year 11 Maths**

midpoint M is ( (-1+6)/2 , (-2+2)/2 ) = ( 5/2 , 0) midpoint N is ( (-1+4)/2 , (-2+6)/2 ) = ( 3/2 , 2) slope BC = (6-2)/(4-6) = 4/-2 = -2 slope of MN - (0-2)/(5/2 - 3/2) = -2 So BC is || to MN length of BC = √( (6-2)^2 + (4-6)^2) = √(16+4) = √20 = 2√5 ...
*August 19, 2014*

**MAth**

Yessss!!! Looks like you got it
*August 18, 2014*

**small typo - MAth**

the second line of the solution should say : = 30/10 + |5|/5x8 has no effect on the rest
*August 18, 2014*

**MAth**

as it applies to your previous problem |30|/|10| + |-2+7|/5 x 8 = 30/10 3 + |5|/5x8 = 3 + 5/5*8 = 3 + 1*8 = 3+8 = 11
*August 18, 2014*

**MAth**

Do all calculations inside the bars following the usual rules of arithmetic. If your answer is positive, make that your answer. If your answer is negative, ignore the negative sign, and state the positive result. That is | anything in here | will always produce a positive (or ...
*August 18, 2014*

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