Sunday
February 7, 2016

Posts by Reiny

Total # Posts: 32,835

math
let each of her halves be x .06x + .10x = 680 .16x = 680 x = 4250 so she invested twice that or 8500
November 19, 2015

Calculus
the way I read that is that you first want to divide x by 6x-5, and then integrate that series using long division .... x/(6x-5) = 1/6 + 5/(36x) + 25/(216x^2) + 125/(1296x^3 + .. (a geometric series with a = 1/6 and r = 5/(6x) so ∫x/(6x-5) dx = ∫(1/6 + 5/(36x) + 25...
November 19, 2015

Math/ algebra please help
Y - 5=1 over 3 ---> y-5 = 1/3 ?? of so, then y = 5 1/3 = 16/3 not one of the choices if you meant: (y-5)/3 = 1, which you did not say, then y-5 = 3 y = 8 , which would be choice B. Since you did not state your choices, ......
November 19, 2015

Math
You should have a 3D diagram. let the distance on the ground be x x^2 = 80^2 + 60^2 let the distance from start to finish be y y^2 = x^2 + 30^2 = 80^2 + 60^2 + 30^2 10900 y = √10900 = 104.4 m or, using vectors distance vector = (0,80,0) + (60,0,0) + (0,0,30) = )60,80,30...
November 19, 2015

Delhi International Happy School
it also said, what fraction of her balloons was not yellow? 10 were not yellow ---> 10/12 = 5/6
November 19, 2015

Algebra I
looks good to me
November 19, 2015

math miss.sue can u plz check me answers plz
the correct answer is d
November 19, 2015

Math
Easy to lose count with all those zeros I do them this way (4 x 10^9)(6 x 10^6) = (4x6)(10^9 x 10^6) = 24 x 10^15 = 2.4 x 10^16 (5 x 10^7)(3.6 x 10^3) = 18 x 10^10 = 1.8 x 10^11 YOu were right with your corrected post
November 19, 2015

math
volume if full = 5^3 = ... but 1/5 is empty, so ?? is filled with water water = ?? * 5^3 = ....
November 19, 2015

Math PLEASE HELP NOW
To be able to handle these types of exponent questions, you must have been given the basic laws of exponents, or they will be found in your text or notes. your first question matches the rule that (a^x)^y = a^(xy) so , (x^3)^5 = x^15 #2 is the same #3, you will need a^x / a^y...
November 19, 2015

A.AA.SK.v. math
A poorly communicated question. I would guess that you have an arithmetic sequence of 2, 7, 12, ... and you want the 10th term. a =2, d=5 term(n) = a + (n-1)d term(10) = 2 + 9(5) = 47
November 19, 2015

math
SA of original cube = 6(4^2) = 96 cm^2 I will assume it will be cut into cubes, each one i cm on a side. So number of such cubes = 4^3 / i^3 surface area of each small cube = 6i^2 total surface area of all the little cubes = (4^3)/(i^3)*(6i^2) = 64(6)/i = 384/i so ratio of SA ...
November 19, 2015

Math
did this for you yesterday http://www.jiskha.com/display.cgi?id=1447865841
November 19, 2015

Math
profit = revenue - expenses P(x) = x(100-10x) - (5x^2 - 800x + 500) = 900x - 15x^2 - 500 P ' (x) = 900 - 30x = 0 for a max of P 30x=900 x=30 P(30) = 13000
November 19, 2015

math
simplest way i can see: purchase price = 400 at 8.40 or 100 at 2.10 profit of 15% of 2.10 = 1.15(2.10) = 2.415
November 18, 2015

Math
i = .08/4 = .02 n = 3(4) = 12 paym = ? amount = 1,000,000 paym( 1.02^12 - 1)/.02 = 1,000,000 paym = ......
November 18, 2015

geometry
-n+6=8n+6n 6 = 15n n = 6/15 = 3/5 ≠ 0 do you have a typo ??
November 18, 2015

correction - Maths
So if she spent 40% of her money, she had 60% of her money left, which is 120 so .6x = 120 x = 120/.6 = 200 check: 40% of 200 = 80 leaving her with 120 Marie you took 40% of what she had left.
November 18, 2015

math
π/3 radians corresponds with 60° You should memorize the sides of the 30-60-90° triangle as 1 , √3, 2 so sin π/3 = √3/2 and tan π/3 = √3/1 = √3 now add them up
November 18, 2015

math
let the unit digit be y let the tens digit by x the original number is 10x + y the number reversed is 10y + x 10y + x = 10x + y - 36 9y - 9x = -36 x - y = 4 10x+y - (10y+x) = 36 9x - 9y = 36 ----> x - y = 4 x = 4+y x+y = 2.5(x-y) 2x + 2y = 5(x-y) 2x + 2y = 5x - 5y 7y = 3x (...
November 18, 2015

Math
43/30 hrs = 1 13/30 hr = 1 hour and 26 minutes
November 17, 2015

Math
Anna's present age -- x Jun's present age ---- y in 5 yrs form now: Anna --- x+5 Jun ----- y+5 x+5 = 2(y+5) x+5 = 2y + 10 x - 2y = 5 5 years ago: Anna --- x-5 jun ----- y-5 x-5 = 3(y-5) x-5 = 3y - 15 x - 3y = -10 subtract the two equations: y = 15 then in x - 2y=5 x - ...
November 17, 2015

MATH
all are correct
November 17, 2015

Pre calc
both u and v are in quadrant III from sin u = -8/17 ----> y = -8 , r = 17 x^2 + 64 = 289 --> x = -15 in quad III cosu = -15/17 from cos v = 12/13 ---> x = 12, r = 13 y = ± 5 if v is in I, sinv = 5/13 , cosv = 12/13 if v in in IV , sinv = -5/13, cosv = 12/13 cos...
November 17, 2015

math
number of rolls with evens = 10 + 3 + 2 = 15 so .....
November 17, 2015

math
present ratio of white :striped = 16:8 = 2:1 white added = x striped added = 132-x (16 + x)/(8 + 132-x) = 2/1 16+x = 16 + 264 - 2x 3x = 264 x = 88 he should add 8 whites and 44 whites check: new whites = 16+88 = 104 new stripes = 8+44 = 52 104:52 = 2:1
November 17, 2015

Catholic university of Cameroon bamenda
100x-500y-5x^2-5y^2=0 or 5y^2 + 500y - 100x+5x^2 = 0 y^2 + 100y - 20x+x^2 consider this to be a quadratic equation with variable y, so that a = 1 b= 100 c = (x^2 - 20x) then y = (-100 ± √(100^2 - 4(1)(x^2 - 20x) ) ) /2 = (-100 ± √10000-4x^2 + 80x)/2...
November 17, 2015

Polynomial
last one should be 4. sneaky one ... 9x^4-37x^2+4 = (9x^2 - 1)(x^2 - 4) = ..... can you finish it ?
November 17, 2015

Polynomial
1. take out common factor of x, the rest factors 2. factor out x^2, then difference of squares. one of them goes again. 3. x^3 + 3x^2 - 16x - 48 looks like "grouping" works here = x^2(x+3) - 16(x+3) = (x+3)(x^2- 16) , and a difference of squares =(x+3)(x+4)(x-4) 4. ...
November 17, 2015

college readiness
let one number be x let the other be 5x x + 5x = 312 carry on
November 17, 2015

math
width of base = 28-16 = 12 m length of base = 36-16 = 20 m height of box = 8 m volume = 12(20)(8) = 1920 m^3 (why introduce variables when there is no need for them ?)
November 17, 2015

Algebra
You clearly must have a calculator that is programmed to do scatter plots and curves of best fit. I don't have one.
November 17, 2015

math
you want height to be zero, so 0 = 96+80t -4.9t^2 using the formula ... t = (-80 ± √8281.6)/-9.8 = appr 17.45 seconds or a negative
November 17, 2015

Math
width --- x length ----x+60 x(x+60) = 16000 x^2 + 60x = 16000 completing the square is easy here x^2 + 60x + 900 = 900+16000 (x+30)^2 = 16900 take √ x+30 = 130 x = 100 width is 100 ft, length is 160 ft
November 17, 2015

Mathematics
We don't know the intersection of all three circles, so label it x Now go to the intersection of two of the circles, say, the M and B circles It says that sum is 15, but we have already counted x of them, so in the remaining part of the football-shaped region is 15-x Do ...
November 17, 2015

maths
volume of the original spheres = (4/3)π (1^3 + (3/2)^3 + 2^3) = (4/3)(99/8)π or 16.5π radius of big sphere ---> r cm (4/3)π r^3 = (4/3)(99/8) π r^3 = 99/8 r = 99^(1/3)/2 or the cuberoot of 99 /2 diameter = 2r = cuberoot(99) = appr 4.626 cm
November 17, 2015

math
or let the two numbers be 4x and 7x 7x - 4x = 48 3x=48 x = 16 so the two numbers are 4(16) or 64 and 7(16) or 112
November 17, 2015

Algebra 2
well, aren't the intercepts points ? e.g. x-intercept = 6 ----> you have a point (6,0) y-intercept = -8 ---> your second point is (0,-8) can you handle it now?
November 16, 2015

Calc
let each cut-out have sides of x inches each length of box = 16-2x width of box = 10-2x , where x < 5 height of box = x volume = V = x(16-2x)(10-2x) expand, take derivative, set derivative, which is a quadratic, equal to zero and solve. Make sure you take the value between ...
November 16, 2015

Calc
area = π r^2 d(area)/dt = 2π r dr/dt given: dr/dt = 2.6 , r = 4 d(area)/dt = ..... just plug in your values. Mind the units
November 16, 2015

Math
let length of printed area be x let the width be y so xy = 384 y = 384/x length of paper = x+12 width of paper = y+14 area of paper = (x+12)(y+14) = xy + 14x + 12y + 168 = x(384/x) + 14x + 14(384/x) + 168 = 384 + 14x + 5376/x + 168 d(area)/dx = 14 - 5376/x^2 = 0 for min of ...
November 16, 2015

Trig
first path: 4 hrs at 20 knots = 80 n miles second path: 6 hrs at 20 knots = 120 n miles angle between them = 90+47 = 137° I see a clear case of the cosine law: let x be the distance from port x^2 = 80^2 + 120^2 - 2(80)(120)cos137 = .... x = √.... you do the button-...
November 16, 2015

business algebra
1 1 -1 0 1 2 4 -3 3 -1 -22 19 1 1 -1 0 0 1 5 -3 --- I did #2 - #1 0 -4 -19 19 -- I took #3 - 4x#2 1 1 -1 0 0 1 5 -3 0 0 1 7 --- I took #3 - 3x#2 so z = 7 in #2: y + 35 = -3 y = -38 in #1 x - 38 - 7 = 0 x = 45 x=45 , y=-38 , z=7
November 16, 2015

correction - math trigonometry
just realized I made an arithmetic error in finding angle APB angle APB = 11° , not 53 so please make the necessary changes. by the sine law: BP/sin21 = 100/sin11 BP = 100sin21/sin11 = .... you do that, store answer in calculator's memory the rest stays the same
November 16, 2015

math trigonometry
make your sketch, and label the top of the building P and the bottom of the building R In triangle ABP, angle A = 21° angle ABP = 148° so angle APB = 53° by the sine law: BP/sin21 = 100/sin53 BP = 100sin21/sin53 = .... you do that, store answer in calculator's ...
November 16, 2015

Math
your presentation of 3.75+3.75+2+2=11.5. 11.5*.5= 5.75. 5.75*$20=115 would not be acceptable to me. besides, it makes no sense. original length = 3.75 m original width = 2 m new length = (3.75 + 1) m = 4.75 m new width = (2 + 1) m = 3 m area including border = 4.75 x 3 m^2 = ...
November 16, 2015

Math
appr 20% of 300 which is 60
November 16, 2015

math
distance covered in 1 rotation = 10π inches distance covered in 200 rotations = 2000π inches speed = 2000π inches per 1 minute you did not specify which units your answer should be in.
November 16, 2015

math
let total spectators be x 1/4 of them are men , leaving 3/4 x women and children (2/5)(3/4)x = 132 (3/10)x = 132 3x = 1320 x = 440 so 1/4 of 440 are men = 110 women = 132 so far we have 242 leaving 440-242 or 198 children check: total = 440 men = (2/5)(44) = 110 leaving 330 ...
November 16, 2015

Precalc
sum of 15000 + 15000(1.03) + 15000(1.03^2 + ... for 7 terms sum = a(r^2 - 1)/(r-1) = 15000( 1.03^7 - 1)/(1.03-1) = 114,936.93
November 16, 2015

Math
24, 5, 16 7, 15, 23 14, 25, 6 Each row and each column adds up to 45 Not only that, but each diagonal also adds up to 45
November 16, 2015

Pre-Calculus
looks like an arithmetic sequence with terms: 3, 7, 11, .... a = 3, d=4 , n = ? so that term(n) ≥ 115 term(n) = a + (n-1)d 6 + 4(n-1) ≥ 115 4n - 4 ≥ 109 4n ≥ 113 n ≥ 28.25 on day 28 he will do 6 + 4(27) or 114 push-ups so he will need 29 days to ...
November 16, 2015

Algebra
clearly A just let n = 1, 2, 3, ... to get the scores listed your choice, on the second play where n = 2, would produce a score of 4453(2) + 73 or 8979
November 16, 2015

Algebra 2
-16t^2 + 500 = 0 16t^2 = 500 t^2 = 500/16 = 31.25 t = √31.25 = appr 5.59 seconds
November 16, 2015

maths
1. I will assume that by "swapped" you mean the same number so (2/5)x = 9 2x = 45 x = not a whole number, so my assumption is wrong Not enough information 2. so he sold them for 10(1.90) = 19.00 This includes a profit of 8.00 so the purchase price was 11.00 for the ...
November 16, 2015

Trig
take the messy part ... csc^-1 (x/(x-1) ) represents an angle Ø so that csc Ø = x/(x-1) or sinØ = (x-1)/x so make a sketch of a right-angled triangle with hypotenuse x and opposite side x-1 call the adjacent side b then b^2 + (x-1)^2 = x^2 b^2 + x^2 - 2x...
November 16, 2015

algebra
Since it is parallel, the new equation must look like y = -x + b, (it would differ only in the constant) but (2,-2) lies on this line, so -2 = -(2) + b b = 0 new equation : y = -x
November 16, 2015

math
the LCD is 105 so multiply each part by 105 4/5 ≥ 2/3 - 2/7x 84 ≥ 70 - 30x 30x ≥ 70 - 84 30x ≥ -14 x ≥ -14/30 x ≥ -7/15
November 16, 2015

trigonometry
Trust yourself. cosØ = adjacent/hypotenuse cos 50° = x/350 350(cos50) = x x = appr 224.98 clearly the answer key is wrong.
November 16, 2015

trigonometry
Did you make a sketch to see that cos 50° = x/350 ? solve for x
November 16, 2015

algebra help!
Why are you guessing? This is Math. btw, you "guessed" incorrectly, you took 65% of 26 the 26 represents the 65% of the total students who happen to eat pizza. let the number of students be x 65% of x = 26 .65x = 26 x = 26/.65 = 40 check: what is 65% of 40 ?
November 16, 2015

Math 116
let the weight of the brick be x lbs x = (1/2)x + 3/4 times 4 4x = 2x + 3 carry on
November 16, 2015

Math
You followed my steps only up to a point combined rate = 9/60 ---- correct time at combined rate = 1/(9/60) = 1 ÷ (9/60) = 1 (60/9) = 60/9 = 15 minutes You just divided 9 by 60 to get .15 and it is just coincidence that the digits of .15 and the correct answer of 15 are...
November 16, 2015

Math
use the same method I just showed you in your previous post. Let me know what you got.
November 16, 2015

Math
Peter's rate = 1/5 rooms/hour Juan's rate = 1/3.75 rooms/hr = 100/375 = 4/15 combined rate = 1/5 + 4/15 = 7/15 time at combined rate = 1/(7/15) hrs = 15/7 hrs = aprr 2.14 hrs, or 2 hrs and 9 minutes
November 16, 2015

math
panels produced by plant A --- x panels produced by plant B = x+8000 defective from A = .04x defective from B = .03(x+8000) solve for x: .04x + .03(x+8000) = 660 (I would get that "caps lock" key fixed on your device)
November 16, 2015

Math
volume of old = π r^2 h = π(36)(12)= 432π this must stay the same we know the new h, but not the r new volume = 3π r^2 so 2π r^2 = 432π divide by 2π r^2 = 216 r =√216 = appr 14.7 SA = 2πr^2 + 2πrh old SA = 2π(36) + 2π...
November 16, 2015

algebra
you could say that the increase is somewhat linear, (straight-lined), and let the equation be cost = .59n + .15, where n is a multiple of 10 with 1960 represented by n=0 so 2020 would be n = 6 (2020 = 1960 + 60 and 60 = 6(10) ) cost = .59(6) + .15 = 3.69
November 16, 2015

math
two step process 1. move all terms except the y term to the other side 3y = -4x + 12 2. divide each term by the coefficient of the y term y = (-4/3)x + 4 use the properties of y = mx + b to answer b) and c)
November 15, 2015

statistics
z-score for you time of 90 minutes = (90-79)/8 = 1.375 from tables or from my favourite webpage probability not finishing = .0846 so of 60 students not finishing = .0846(60) = 5.076 so 5 students will not finish http://davidmlane.com/hyperstat/z_table.html
November 15, 2015

math
sub in the values: [ (-2)^-1 (3) + 3^-1 ]^(-2(-1)) = [ 3(-1/2) + 1/3) ]^2 = [ -3/2 + 1/3]^ = [ -1/3 ]^2 = 1/9
November 15, 2015

Math
1. correct 2. p/6 = 7/8 ---> p= 42/8 = 5.25 3. correct 4. 521 miles in 14 hrs = 521/14 mph = 37.21 mph Your answer should have hit you as totally unreasonable. 5. 33.6 gallons in six months --> 33.6/6 gal/mon = 5.6 gallons/month 6. .81 euro = 1 dollar 1 eur = 1/.81 ...
November 15, 2015

Maths
First part is correct. not familiar with B) part of your question.
November 15, 2015

math
let y = x^2 - 4 and sketch it here is a picture, using that sketch you should be able to answer all questions http://www.wolframalpha.com/input/?i=plot+y+%3D+x%5E2+-+4 e.g. "Intervals on which the graph is below the x axis " ----> -2 < x < 2
November 15, 2015

Quantitative Analysis
I have no idea what these numbers are supposed to be. If you are finding the z-score, your mathematical form is really bad z-score for 11.33 = (11.33-8.27)/1.53 = 2 I you are using tables, a z-score of 2 has value of .9772 that is 97.72% will have a shoe size below 11.33 which...
November 15, 2015

Math
first rate = 225/5 words per minute = 45 words/min 2nd rate = 135/3 words per min = 45 words/min ahhh, the same rate so words typed = 24(45) or 1080 words
November 15, 2015

Math
7x-5=4x+4 7x - 4x = 4+5 3x = 9 x = 3
November 15, 2015

algebra
if you meant: f(x) = √x + 5, the domain is any real number, x ≥ 0 if you meant: f(x) = √(x+5) , the domain is any real number x ≥ = -5
November 15, 2015

math
correct
November 15, 2015

Math
3 3/7 = 24/7 so the reciprocal is 7/24
November 15, 2015

Trigonmetry
I assume we are solving .... 4√(1- sin^2 2x) ) + 3sin 2x = 2 √(1-sin^2 2x) = (2 - 3sin 2x) /4 square both sides 1 - sin^2 2x = (4 - 12sin 2x + 9sin^2 2x)/16 let sin 2x = y, so we have 1 - y^2 = (4 - 12y + 9y^2)/16 16 - 16y^2 = 4 - 12y + 9y^2 25y^2 - 12y - 12 = 0 y...
November 15, 2015

Calculus 1
Just did this for you. Look back to your earlier post of this
November 13, 2015

TayB's question - Calculus 1
let the point of contact be (a,b), then b = (a-5)^2 = a^2 - 10a + 25 sketch the tangent and the normal y' = 2(x-5) = 2x - 10 so the slope of the tangent at (a,b) = 2a - 10 and the slope of the NORMAL at (a,b) = -1/(2a - 10) or 1/(10-2a) but using the old grade 9 way of ...
November 13, 2015

Calculus 1
let the equation of the tangent be y = mx, where m is the slope Here is a picture with m = 1/2 http://www.wolframalpha.com/input/?i=plot+y+%3D+-4sinx+%2C+y+%3D+.5x+%2C++from+0+to+20 Here is a picture with m = .9 http://www.wolframalpha.com/input/?i=plot+y+%3D+-4sinx+%2C+y+%3D...
November 13, 2015

algebra
how about 5n + 10d ≤ 50 n + 2d ≤ 10 , where n and d are whole numbers
November 13, 2015

algebra with pizzazz
I am going out on a limb here, How about "Friday" ?? No wait! , I will change my answer to "mayonaise"
November 13, 2015

math
the new length = 20 m + 2(2.5)m = 25 m the new width = ... area of lot including the path = .. area of law = 20x15 m^2 = 300 m^2 path = (lot including path) - 300 m^2 there you go, all set for the arithmetic
November 13, 2015

algebra
first bounce = 30 m 2nd bounce = 2(.4)(30) = 60(.4) , up and down 3rd bounce = 2(.4)^2 (30)= 60(.4)^2 .. nth bounce = 60(.4)^(n-1) total distance = 30 + (60(.4) + 60(.4^2) + 60(.4^3) + .... ) So consider it to be an infinite geometric series starting with the second bounce a...
November 13, 2015

Math
First part is done, look back to your previous post of this I see you corrected your post I suggested what to do, give it a try
November 12, 2015

Math homework
reds and blues = 1/6 + 1/3 = 1/2 so (3/7)(1/2) or 3/14 are green 3/14 of something is 27 (3/14)x = 27 3x = 378 x = 126 check: reds = (1/6)(126) = 21 blues = (1/3)(126) = 42 leaving 126-21-42 or 63 greens = (3/7)(63) = 27 , checks out ok!
November 12, 2015

math
let x be the increase , assuming we increase only on one side. (10+x)(8+x) = 1.75(80) 80 + 18x + x^2 = 140 x^2 + 18x - 60 = 0 let's complete the square ... x^2 + 18x + 81 = 60+81 (x+9)^2 = 141 x+9 = ±√141 x = appr 2.87 cm or some inadmissible negative the new ...
November 12, 2015

math
let the two numbers be x and y x + 2y = 100 product = xy = (100-2y)(y) = 100y - 2y^2 d(product)/dy = 100 - 4y = 0 4y = 100 y = 25 x = 100 - 50 = 50 they are 25 and 50
November 12, 2015

Math
let the side of the square be x let the sides of the rectangle be x by y so 5x + 2y = 54 y = (54-5x)/2 area = x^2 + xy = x^2 + x(54-5x)/2 = x^2 + 27x - (5/2)x^2 d(area)/dx = 2x + 27 - 5x = 0 for a max of area 3x = 27 x = 9 y = (54 - 45)/2 = 4.5 the square is 9 by 9, and the ...
November 12, 2015

Math
I assume you made a diagram. at a given time of t seconds, let her distance from the lamp be x ft, let the length of her shadow be y ft by ratios, 6/y = 16/(x+y) 16y = 6x+6y 10y = 6x 5y = 3x 5dy/dt = 3dx/dt dy/dt = (3/5)(8) = 24/5 ft/s her shadow is increasing at a constant ...
November 12, 2015

Math
a) appears to contain some typos I will do it my way let the number of $14 rebates be Return = number sold x price of each unit = (450 - 14n)(1400 + 140n) dR/dn = (450-14n)(140) + (1400+140n)(-14) = 63000 - 1960n - 19600 - 1960n = 0 for a max of Revenue 3920n = 43400 n = 11.07...
November 12, 2015

Math
make a sketch to get a right-angled triangle Let Ø be the angle of elevation, the height is 2, the horizontal distance is x and the hypotenuse is h tanØ = 2/x xtanØ = 2 xsec^2 Ø dØ/dt + tanØ dx/dt = 0 when h = 3 x^2 + 4 = 9 x = √...
November 12, 2015

Algebra 2
what did you get ? I will check your answer
November 12, 2015

math
they will form a straight line, passing through the origin. let the radius of the first one be r then the first point is (2r, 2πr) slope of line passing through (0,0) and (2r, 2πr) = (2πr)/(2r) = π
November 12, 2015

Algebra 2
(243 m^10 n^35) / m^5
November 12, 2015

Algebra
easy way to graph a straight line is to use the intercepts for the first one: let x=0, y = 3, (should be able to do this in your head) let y = 0, x = 6 so you have two points, (0,3) and (6,0) plot the points and join with a straight line Do the same with the 2nd equation it ...
November 12, 2015

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