Saturday

February 13, 2016
Total # Posts: 32,992

**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*

**Precalculus**

1. it becomes an arithmetic series so you want: 5 + 10 + 15 + ... = 680 , a = 5 , d = 5 , n = ? we dont know how many terms, let n be the number of terms (n/2)(2a + (n-1)d ) ≥ 680 (n/2)(10 + 5(n-1) ≥ 680 n(5n + 5) ≥ 1360 5n^2 + 5n - 1360 ≥ 0 n^2 + n - ...
*November 12, 2015*

**algebra pls help**

−ax + 3b > 5 -ax > 5 - 3b ax < 3b - 5 x < (3b-5)/a or x < (5-3b)/-a to fit the last choice
*November 12, 2015*

**Math**

correct
*November 12, 2015*

**Math**

(85+84+90+95+88 + x)/6 > 88 I will let you solve it
*November 12, 2015*

**Maths**

We don't "complete the square" for a cubic let's look at the graph of y = x^3 - 2x^2 - 16 to see if it worth doing http://www.wolframalpha.com/input/?i=plot+y+%3D+x%5E3-2x%5E2-16 looks like there is only one real root. Have you learned a method to solve a ...
*November 12, 2015*

**Maths**

Rephrasing the question: Find the intersection points of the line y = 2x-3 with the curve y = (x+2)(x-4) , a parabola (x+2)(x-4) = 2x- 3 x^2 - 2x - 8 = 2x - 3 x^2-4x-5 = 0 (x-5)(x+1) = 0 x = 5 or x = -1 if x=5 , y = 2(5)-3 = 7 if x=-1, y = 2(-1)-3 = -6 the line crosses the ...
*November 12, 2015*

**Maths**

let's do it by completing the square 10x-x^2-27 = -x^2 + 10x - 27 = -(x^2 - 10x ..... ) - 27 = -(x^2 - 10x + 25 - 25) - 27 = -( (x-5)^2 - 25) - 27 = -(x-5)^2 + 25 - 27 = -(x-5)^2 - 2 -----> the form you wanted argument: (x-5)^2 is always positive so -(x-5)^2 is always ...
*November 12, 2015*

**Maths**

(x-1)(x^2+x+1) = x^3 + x^2 + x - x^2 - x - 1 = x^3 - 1 so (x-1)(x^2+x+1)=2x^2-17 x^3 - 1 = 2x^2 - 17 x^3 - 2x^2 + 16 = 0 error in the constant you also lost the fact that it was an equation your instructions should have been: "Rewrite in form of ax^3+bx^2+cx+d = 0 " ...
*November 12, 2015*

**Math**

agree, but why did you pick that?
*November 12, 2015*

**algebra**

amount used from the Rs 40 --- x amount used from the Rs 90 --- 630-x 40x + 90(630-x) = 70(630) 40x + 56700 - 90x = 44100 -50x= -12600 x = 252 state conclusions.
*November 12, 2015*

**Math**

since the length of the strip you want matches the length of the available cloth, 45 inches, all we care about is the width. What is 36 ÷ 3 3/8 ?
*November 12, 2015*

**Math**

Your running distances are in an arithmetic sequence with a = 12 , d = 7/10 or .7 you want a + (n-1)d = 26 12 + .7(n-1) = 26 .7n - .7 = 14 .7n = 14.7 n = 21 So it will take 20 MORE weeks to reach 26 miles
*November 12, 2015*

**precalc**

you must memorize the 3 main rules of logs 1. log (AB) = log A + log B 2. log (A/B) = logA - logB 3 log (A^n) = nlogA for any base of the log as long as the base is the same throughout the equation e.g. #22 7log 2^16 + log (2^(1/16)) , I assumed a typo here = 7(16)log 2 + (1/...
*November 12, 2015*

**Math 141**

prob(W from boxA) = 3/7 now we transfer a ball case1, ball transferred is W now we have 7white in B prob(W from boxB) = 7/12 prob as stated = (3/7)(7/12) = 1/4 case 2, ball transferred is B now we still have 6 W in B prob(W from B) = 3/7 x 6/12 = 3/14 prob(of our event) = 1/4...
*November 12, 2015*

**math**

y = 2x^2 - 3 inverse: x = 2y^2 - 3 2y^2 = x+3 y^2 = (x+3)/2 y = ± √( (x+3)/2 ) btw, the inverse is not a function
*November 11, 2015*

**math**

no, 0 is not considered an odd number 20 = 2*2*5 5 is the odd factor, 2 is the even factor
*November 11, 2015*

**math**

the only multiple of 10 between 15 and 28 is 20.
*November 11, 2015*

**Math 141**

prob(non-defective, second machine) = (.92)(.15) = .138
*November 11, 2015*

**precalc(LOGS) CONFUSED!**

2 logx = loga - 4logb logx= loga - log b^4 logx = log (a/b^4) x = 1/b^4 3. lnt = (3/2)ln a - ln p ln t = ln ((√a)^3) - ln p ln t = ln( (√a)^3 /p) t = √a)^3 /p 4. you do this one the same way of course you will have to know the rules of logs
*November 11, 2015*

**Math**

How many times has this same set of questions been posted now, I keep seeing it btw, all answers are finally correct
*November 11, 2015*

**Precalc**

a) correct b) log(5/7) = log 5 - log 7 you have both of these, just do the subtraction c) log 1.5 = log (3/2) = log3 - log 2 you have both of these d) log (3/14) = log(3/( (2)(7) ) = log 3 - log2 - log 7 again, you have those 3 values log 12 = log(4 x 3) = log 4 + log3 = log 2...
*November 11, 2015*

**Geometry**

Why did you not look at my solution ? http://www.jiskha.com/display.cgi?id=1447283907
*November 11, 2015*

**mATH**

Heather, your answer does not work 10 more than 7 times 59 = 423 9 fewer than 5 times his age reversed = 5(95) - 9 = 466 let the tens digit of his age be x let the units digit of his age be y his age is 10x+y 10 more than 7 times his age = 7(10x+y) + 10 9 fewer than 5 times ...
*November 11, 2015*

**Math**

I constructed the triangle so that DE || BC AB = 5+3.5 = 8.5 DE: DE/5 = 5.1/8.5 DE = 25.5/8.5 = ... AC: x/6 = 3.5/5 x = 6(3.5)/5 = ... AC = 6 + x EC: just found that AC: also done
*November 11, 2015*

**Algebra**

just solve the two equations... p^2 + 16q = 1200 ---> p^2 = 1200 - 16q 300 - p^2 + 6q = 0 ---> p^2 = 300 + 6q 300 + 6q = 1200-16q 22q = 900 q = 900/22 = 450/11 = appr 40.9 then p^2 = 300 + 6(450/11) = 4650/11 = appr 422.7
*November 11, 2015*

**Geometry**

Method 1: use the slope of the 3 lines to find the angles the lines make with the x-axis. Then subtract the angles to determine the angle between the lines method 2: use the formula tanØ = |(m1-m2)/(1+m1m2)| where Ø is the angle between lines with slope m1 and m2...
*November 11, 2015*

**ALGEBRA**

function1 is a parabola with a vertex of (-1,-3) so its minimum is -3 since function2 shows a minimum value of 0 the first statement is true min value of -3 at the point (-1,-3).
*November 11, 2015*

**Algebra**

after cutting out squares with sides n by n we would have the following: n=1 , dimensions: 18 by 26 by 1 , not given n=2, dimensions: 16 by 26 by 2 , given incorrectly n=3, dimensions: 14 by 24 by 3 , not given , but V = n=4, dimensions: 12 by 22 by 4 , V = 1056 n=5, ...
*November 11, 2015*

**Math**

#2, h^2 = 12^2 + 9^2 = 225 h = √225 = 15 , so B #3 C, 3^3 = 27 , none of the others are cubes #4 √9 - 7 = 3-7 = -4 , which is an integer, so D #5 C , √(36/49) = 6/7 #6 He needs √11 which is appr 3.3 , so your choice of a piece of 3 feet would not even ...
*November 11, 2015*

**Math**

1. irrational means not rational So if a number is not rational, then it is irrational B
*November 11, 2015*

**Math**

number of adult tickets --- x number of children tickets -- 99-x 4x + 2.5(99-x) = 300 solve for x
*November 11, 2015*

**math**

F = 1.8°C + 32 F - 32 = 1.8C C = (F-32)/1.8 or C = (5/9)(F - 32)
*November 11, 2015*

**math**

temp six hours ago ---- x 2x - 6 = 20 go for it
*November 11, 2015*

**math**

practise to translate from English to Math let her original amount be x "she added $26 to the amount originally in the account " ---> 26+x "and doubled the sum" ----> 2(26+x) "she would get the new amount" ---> 2(x+26) = 264 your turn
*November 11, 2015*

**math**

The number is not 36, it is 63 "my tens digit is twice my ones digit" : so, if the ones digit is x then the tens digit is 2x x+2x=9 3x=9 x=3 so the number is 63
*November 11, 2015*

**correction - Math**

prob(4reds) = (9/23)(8/22)(7/21)(6/20) = 18/1265 or prob(4reds) = C(9,4) / C(23,4) = 126/8855 = 18/1265 = appr .014 prob(2 out of 4 are red) = C(9,2) * C(14,2)/C(23,4) = 36*91/8855 = 468/1265 = appr .37
*November 11, 2015*

**Calculus 1**

Well, I simply offered another approach. I would have expected you to change the 40 to 23.
*November 11, 2015*

**Calculus 1**

Steve, I had my definitions reversed, but http://www.jiskha.com/display.cgi?id=1384823309 Only superficially checked the arithmetic on both
*November 11, 2015*

**correction - math**

so you would have 3/7 of your money left (3/7)x = 15 3x= 105 x = 35 so you spent 4/7 of that which $20 check: you started with $35 spent 4/7 of that which is $20, leaving you with $15, as stated
*November 10, 2015*

**correction - Math**

I did the first 2 parts here: http://www.jiskha.com/display.cgi?id=1447035932 #3. prob(none of the 4 are red) = C(14,4)/C(23,4) = 1001/8855 = 13/115
*November 10, 2015*

**Compound interest**

The title of your post says "compound interest" but then you use "simple interest". i = .0525/12 = .004375 n = 36 cost of stereo = 200 + 70(1 - 1.004375^-36)/.004375 = 200 + 2326.87 = 2526.87 you had that, ok, good b) paid: = 36*70+200 = 2720 Do they accept...
*November 10, 2015*

**Math**

how did you possible get 60? from above: 2(3x) + 3x = 144 9x = 144 x = 16 as defined each boy gets 3x = 3(16) = 48 (each girl gets 18) check: 2boys + 3 girls = 2(48) + 3(16) = 144 , as needed
*November 10, 2015*

**Math**

amount for girl -- x amount for boy -- 3x 2(3x) + 2x = 144 8x = 144 take over
*November 10, 2015*