Wednesday

April 1, 2015

April 1, 2015

Total # Posts: 29,347

**Trigonometry**

I tried your #1 with x=10° and it did not work so it is not even an identity #2 and #3. you will have to remember that cos 2A = 1 - 2sin^2 A , and sin 2A = 2sinAcosA or cosx = 1 - 2sin^2 (x/2) , and sinx = 2sin(x/2)cos(x/2)
*February 3, 2015*

**correction - Math**

I should have read your question a bit more carefully It asked for the equation of the lines perpendicular to the line joining the points Now the question makes even less sense, since we don't know through which point our perpendicular will pass Your answers appear to find...
*February 3, 2015*

**Math**

Are those supposed to be your answers ? None make any sense, since it asked for the equation of the line I will do a) 2 points (1,4) and -1,1) slope = (1-4)/(-1-1) = -3/-2 = 3/2 , note that the brackets in the first calculation are essential using the point (1,4) y-4 = (3/2)(x...
*February 3, 2015*

**linear algebra**

My explanation of step 4 of my method is not as clear as I intended. The webpage I gave you states it better and shows the pattern Btw, if you had a 4 by 4 you better get several sheets of paper, since you have to bring it from a 4 by 4 to a 3 by 3, that alone would involve 16...
*February 3, 2015*

**linear algebra**

There are several ways to find the matrix, here is my method 1. find the determinant of A, I go det(A) = 1 2. flip the matrix along its top-left to bottom-right diagonal to get -5 -3 -9 2 1 3 2 1 4 3. replace each of the terms of this matrix by its cofactors e.g -5 is replaced...
*February 3, 2015*

**Math**

recall that cos (2x) = 1 - 2sin^2 x or cos x = 1 - 2sin^2 (x/2) then yours is ... sin (x/2) = 1 - (1 - 2sin^2 (x/2)) sin (x/2) = 2sin^2 (x/2) 2sin^2 (x/2) - sin (x/2) = 0 sin x/2(2sin x/2 - 1) = 0 sin (x/2) = 0 or sin(x/2) = 1/2 case 1: sin (x/2) = 0 x/2 = 0 , π, 2π ...
*February 3, 2015*

**Math Help**

Even though you got the correct answer you did not follow the required method. (That's like winning a 100 m backstroke race by using the butterfly stroke , you would be DQ'd) It said to use the Half-Angle formula There are two, sin (2A) = 2sinAcosA and cos(2A) = cos^2 ...
*February 3, 2015*

**maths surds please help and explain**

Ok, so you are saying a. 1/√a + 2 = (1/√a)(√a/√a) + 2 = (√a)/a + 2 b. still not clear if you meant √(18/25) or √18 /25 for first interpretation: = 3√2/5 for 2nd interpretation: = 3√2 /25 c). I will take the original as ...
*February 3, 2015*

**maths surds please help and explain**

e) is the only one not ambiguous, √5*(√72/√3) = √5*√24 = √120 = 2√30 Also your use of x is not consistent in c) you are using x as a multiplier, in d) you are using x as a variable if you have to show a multiplication signs, either use...
*February 3, 2015*

**maths surds please help and explain**

you really have to use brackets to establish the order of operations you want. e.g. in #1, the way you typed it it would be (1/√a) + 2 but I sense you meant 1/(√a + 2) in b) did you mean √(18/25) ? etc
*February 3, 2015*

**algebra**

You have 3 terms, two of which contain the common factor (2a-b) Is that -8 at the end supposed to be a multiplier ? The way you typed it, it does not factor.
*February 3, 2015*

**math**

speed = distance / time clearly the car went 123 miles in 2 hours so speed = ?????
*February 2, 2015*

**math**

width --- x length --- 4x x(4x) = 144 x^2 = 36 x=6 width = 6 ft, length = 24 ft check: area = 6x24 = 144
*February 2, 2015*

**MATH**

David Lane's webpage is perfect for this type of question and replaces the charts and tables found in the back of textbooks http://davidmlane.com/hyperstat/z_table.html Just fill in the data for c) remember that 96% would be shorter. You might want to use the second ...
*February 2, 2015*

**Calculus - Differentiation**

I would write it as y = 3(1 - 6x^4)^-1 , and use the chain rule dy/dx = -3(1 - 6x^4)^-2 (-24x^3 = 72x^3/(1 - 6x^4)^2
*February 2, 2015*

**Math - Answer Check**

translation is correct scale factor of radii is 2 scale factor of area is 4 , you didn't say what scale factor
*February 2, 2015*

**Math - Answer Check**

Your question makes no sense to me. All circles are "similar" to each other.
*February 2, 2015*

**calculus**

f(x) = 2x + sin(2x) f ' (x) = 2 + 2cos(2x) = 0 2cos(2x) = -2 cos 2x = -1 I know cos π = -1 so 2x = π x = π/2
*February 2, 2015*

**calculus**

after 1 sec, d = 6(1) + 2 = 8 after 4 sec, d = 6(16) + 2(4) = 104 avg velocity = total distance/total time = (104-8)(4-1) = 32 miles/hr
*February 2, 2015*

**geometry**

done, check back to your previous post of this. Btw, have some patience. You only gave the other one about 10 minutes for a response.
*February 2, 2015*

**Geometry**

Let's assume that they are in the same line of sight, that is, the two ships and the lighthouse are in the same plane. Label the farther ship A and the nearer ship B Label the top of the lighthouse L and its bottom M I see the following angles, angle A = 20° angle LBM...
*February 2, 2015*

**math**

I assume that some of the numbers can be the same, otherwise the least possible multiplication would be 1x2x3x4x5x6 = 720 so to get 36 using the smallest possible numbers would be 1x1x2x2x3x3 and the least possible sum = 15
*February 2, 2015*

**Vectors**

you made an error in the initial addition. 2a = 6x + 4y b = 5x - 4y add them: 2a + b = 11x x = (2a+b)/11 or 2a/11 + b/11 , which is the given answer now plug the x back into the first equation: 5x - 4y = b 5(2a+b)/11 - 4y = b times 11 5(2a + b) - 44y = 11b 10a + 5b - 44y = 11b...
*February 2, 2015*

**Math**

To be similar, corresponding sides must be in the same ratio that is AB/EF = BC/FG = etc Find the lengths and test if the ratios are the same
*February 2, 2015*

**Math**

test for AS: .8-1.6 = -.8 .4-.8 = -.4 , so not AS test for GS: .8/1.6 = .5 .4/.8 = .5 .2/.4 = .5 , YUP, its GS
*February 2, 2015*

**Math**

yup, #3 has all 3 points satisfying the equation (I did not check any of the others)
*February 2, 2015*

**math**

net discount price = (.93)(.9)(.97)(250) = 202.97 or equivalent discount = 1 - .93(.9)(.97) = .18811 or 18.811% net discount price = 250 - .18811(250) = 202.97
*February 2, 2015*

**maths help please**

#1 multiply both sides by x 6x^3 + 5x^2 = 21x x(6x^2+ 5x - 21) = 0 x=0 or x= -5±√529)/12 = (-5 ± 23)/12 = 3/2 or -7/3 but x ≠ 0 in the original equation, we can't divide by zero x = 3/2 or x = -7/3 B) multiply each term by 2x x^2 + 12x = -20 x^2...
*February 2, 2015*

**math**

success could be : basketC, orange basketD, orange prob = (1/2)(26/39) + (1/2)(18/33) = 20/33
*February 2, 2015*

**math**

x/1= 16/12 x= 16/12 = 4/3 inch
*February 1, 2015*

**Math**

Wow, that is fast. What is it ? .85km/s = 850 m/s = 850 m/(1/60) min = 850(60) m/min = 51000 m/min btw, that would be 3060 km/h
*February 1, 2015*

**Math**

Micah : Sue =2 : 5 or 2x : 5x Let Will's share by y total bill = y + 7x Sue - Will = 6 5x - y = 6 or y = 5x-6 Will = (1/3)(total) y = (1/3)(y+7x) 3y = y + 7x 2y = 7x ---> y = 7x/2 in y = 5x-6 7x/2 = 5x-6 7x = 10x - 12 3x=12 x=4 then y = 5(4)-6 = 14 So the dinner cost y...
*February 1, 2015*

**Algebra**

Your dealing with parabolas and quadratic equations. If you have never learned this, I don't see how you can help him. He must know how to find the vertex of the above parabola, either by completing the square or a short formula which he must memorize. h(t) = -16t^2 + 96t...
*February 1, 2015*

**Algebra**

Basic algebra question: let the large number be x let the smaller number be y x - y = 12 x + 3y = 20 subtract them 4y = 8 y = 2 in x-y=12 x -2=12 ---> x = 14 the larger number is 14, the smaller is 2
*February 1, 2015*

**jiskha review**

Thank you Jam. I have been a volunteer on Jiskha for many years and do it for several reasons 1. I love mathematics 2. In my retirement and "old" age, it keeps my mind active 3. I live in Canada and life has been very good to me, so I enjoy giving back some of it.
*February 1, 2015*

**Algebra**

using 1 bill: 1, 5, 10, 20 using 2 bills 6, 11 ,21 15, 25, 30 using 3 bills : 16, 26, 31, 35 using 4 bills : 36 For a total of 15 different costs Notice Madison missed a few Or the number of subsets of 4 things = 2^4 = 16 but that includes the null set , or not using any bills...
*February 1, 2015*

**Math**

assume 2^(1/2) is a rational number in the form a/b, where a/b is reduced to lowest terms 2^(1/3) = a/b cube both sides 2= a^3/b^3 2b^2 = a^3 the left side of this equation is even then the right side of the equation must be even Properties of integers: if you cube an even ...
*February 1, 2015*

**Stats**

Think about how you obtained that mean? didn't you add the total of the 10 children and divide by 10 ? so the total must have been 172 Let the new kid's score be x then (172+x)/11 = 18 172+x = 198 x = 26
*January 31, 2015*

**Math**

Elis --- y Samuel --- y-10 David --- y+20 y+y-10+y+20 = 140 3y = 130 y = 130/3 = 43 1/3 newspapers ???? Something is rather bogus about your question. Notice mathematically my answer is correct: Elis sold 43 1/3 Samuel sold 33 1/3 David sold 63 1/3 43 1/3 + 33 1/3 + 63 1/3 = 140
*January 31, 2015*

**Math**

women --- x children --- x+6 men ---- (1/3)(x+6) total passengers = x + x+6 + (1/3)(x+6)
*January 31, 2015*

**math**

original number: men -- 3x women -- 4x 3x+4x = 126 7x=126 x = 18 so we had 54 men and 72 women new count: men = 56 women = 80 new ratio : men : women = 56:80 = 7 : 10
*January 31, 2015*

**Math**

let the height be x cm original volume = (45)(25)x cm^3 = 1125x cm^3 remember 1L = 1000 cm^3 (the beauty of the metric system) volume removed = (45)(25)(x-4) which is 22500 1125(x-4) = 22500 1125x - 4500 = 22500 1125x = 27000 x = 24 the height was 24 cm
*January 31, 2015*

**Add maths form 4**

that's not what you had, so make the necessary changes in my solution.
*January 31, 2015*

**Add maths form 4**

I will assume that you meant the equation to be 2qx(x+1) - 8x^2 - 1 = 0 2qx^2 + 2qx - 8x^2- 1 = 0 x^2(2q - 8) + 2qx - 1 = 0 a quadratic with a = 2q-8 b=2q c=-1 to have no real roots, b^2 - 4ac < 0 4q^2 - 4(2q-8)(-1) < 0 4q^2 + 8q - 32 < 0 q^2 + 2q - 8 < 0 (q+4)(q-2...
*January 31, 2015*

**Math**

let the cost price be x original selling price = x + .4x or 1.4x after 20% discound ... final selling price = (.8)(1.4x) = 1.12x which looks like a 12% profit based on cost b) if x = 448 If by "marked" price you mean final selling price, then 1.12(448) = 501.76 ...
*January 31, 2015*

**Trigo**

The angle of "elevation" means it was measured from ground level up So angle QPB = 54 angle QPA = 46 leaving you with 54-46 or 8° or angle APB = 8° In the right-angled triangle APQ, angle P = 54° so angle B = 90-54 = 36°
*January 31, 2015*

**Trigo**

Did you make your sketch? On mine, I labeled the bottom of the building Q, the top of the flagpole B and its bottom A I have a right-angled triangle APQ and a scalene triangle ABP. Angles can be easily found In triangle ABP, I have angle BPA = 8° angle PBA = 36° angle ...
*January 31, 2015*

**algebra**

old price --- x new price ----x+9 increase in old price = (4/5)(x+9) new price = x+ (4/5)x+9) x+9 = x + (4/5)(x+9) 9 = (4/5)(x+9) 45 = 4x + 36 4x = 9 x = 9/4 cents ?? or 2.25 cents check: old price -- 2.25 cents new price --11.25 cents other way to get new price: increase in ...
*January 31, 2015*

**Calculus**

And Math should be and is fun.
*January 31, 2015*

**Calculus**

or let x = 2.44535353.. times 100 100x = 244.535353.. subtract them 99x = 242.09 x = 242.09/99 = 24209/9900 or 2 4409/9900
*January 31, 2015*

**Trigo**

make your sketch let the point below the ballon be P let the distance from the 60° position to P be x then the other distance is 350-x You have two right-angled triangles let the height be h m (the common side to the two triangles) for the 1st triangle: tan60 = h/x h = ...
*January 31, 2015*

**Calculus**

To be concave up the 2nd derivative must be positive, so -x^2 + x + 6 > 0 x^2 - x - 6 < 0 (x-3)(x+2) < 0 looking at y = x^2 - x - 6 , we see from our solution above that it has x-intercepts of 3 and -2, thus it is above ( greater than zero) for x < -2 or x > 3
*January 30, 2015*

**math**

very similar to the other question you had http://www.jiskha.com/display.cgi?id=1422645251 10!11!/(7!13!) = (10x9x8x7! 11!)/(7! 13x12x11x10!) = 10x9x8/(13x12x11) (after the 7!10! cancel) = 60/143
*January 30, 2015*

**math**

you are correct in the final answer, but I object to your "work" the statement 121a^2b^2 = 11ab is wrong it should be 121a^2b^2 = (11ab)^2 same for your next line you could have checked your answer ... (11ab + 2b)^2 = 121a^2b^2 + 44ab + 4b^2
*January 30, 2015*

**college Algebra**

let the sales over $7000 be x 2150 + .08x = 3120 .08x = 970 x = 12125 so he must have sales of 12125+7000 or $19,125
*January 30, 2015*

**MATH**

automatically rule out A and D, last terms are not perfect squares Also rule out B, since both front and back must be positive. So it could only be C , if any at all. take √ of both first and last, multiply those results, then double to get the middle term. looks like C ...
*January 30, 2015*

**math**

btw, this is true for all values of n, not just positive integers. e.g. let n = 2.3 (2/3)^2.3 (3/2)^(2.3-1) = (2/3)^2.3 (3/2)^(1.3) = (2/3)^2.3 (2/3)^-1.3 = (2/3)^(2.3 - 1.3) = (2/3)^1 = 2/3
*January 30, 2015*

**math**

(2/3)^n (1 1/2)^n-1 =(2/3)^n (3/2)^(n-1) = (2/3)^n (2/3)^(1 - n) = (2/3)(n + 1-n) = (2/3)^1 = 2/3
*January 30, 2015*

**Algebra 2**

No, Jasmine I gave you the solution and the answer.
*January 30, 2015*

**Algebra 2**

really quite simple, just subtract them f(x) - g(x) = -2x+4- (-6x-7) = -2x+4 + 6x+7 = 4x + 11
*January 30, 2015*

**math**

quick way: on your calculator find a key usually labeled n! (on mine to find 6!, I keystroke like this: 6 2ndF n! = to get 720 so for (6!8!)/(9!5!) you should get 2/3 or .6666... or use the definitions: also recall that the concept that 9! = 9x8! since this suits our ...
*January 30, 2015*

**Math- check my answers pls**

Was told I had to log in to view.
*January 30, 2015*

**math**

first term: a common difference = 2 sum of first 3 terms = a + a+d + a+2d = 3a + 6 sum of first 9 terms = (9/2)(2a + 8(2)) = 9(a + 8) = 9a + 72 so 3a+6 = ar and 9a+72 = ar^2 square 3a+6 = ar^2 9a^2 + 36a + 36 = a^2r^2 r^2= (9a^2 + 36a + 36)/a^2 from the other equation, r^2 = (...
*January 30, 2015*

**algebra**

first of all, if you are going to factor an equation, get the RS equal to zero x^2 + 5x + 6 = 0 Now can you think of 2 number, which when multiplied gives you 6, and which when added give you 5 ?? How about 2 and 3 ---> 2+3 = 5 and 2x3 = 6 so (x-2)(x-3) = 0 then x-2=0 or x-...
*January 30, 2015*

**Math**

Picking up the equation found by Bosnian at A = 12t + 18t^2 dA/dt = 12 + 36t ---> the instantaneous rate of change for any t when t = 2 dA/dt = 12 + 36(2) = 84 cm^2/second
*January 30, 2015*

**math**

w = 5/8 L wl = 360 (5/8)L^2 = 360 L^2 = 576 L = √576 = 24
*January 30, 2015*

**math**

Same type of problem as the one I just did for you above this post.
*January 30, 2015*

**business math**

single equivalent discount = 1 - .9(.8)(.7) = .496 = 49.6% 49.6% off 9500 = 4712 final price = 9500-4712 = 4788 or , the long way 10% of 9500 = 950 after 1st discount: 9500-950 = 8550 20% discount on 8550 = 1710 after 2nd discount:8550-1710 = 6840 30% of 6840 = 2052 after 3rd ...
*January 29, 2015*

**Mathh**

10/13 = .7692.. or 77% I don't see that answer
*January 29, 2015*

**algebra**

In that case (1/8 + (x+4)/16 )/( (x+4)/x + 4/x ) = ( (2 + x+4)/16) / ( x+4 + 4)/x) = (x+6)/16 * x/(x+8) = x(x+6)/(x+8)
*January 29, 2015*

**algebra**

Was it perhaps (1/8 + (x+4)/16 )/( (x+4)/x + 4/x ) ??
*January 29, 2015*

**algebra**

ok, taking it the way you typed it (1/8 + x + 4/16)/(x + 4/x^2 + 4/x) = (1/8 + x + 1/4)/(x + 4/x^2 + 4/x)*(16x^2/(16x^2) = (2x^2 + 32x^3 + 4x^2)/(16x^3 + 64 + 64x) which does not come close to any of the given answers, so the original is missing some important brackets
*January 29, 2015*

**algebra**

You MUST include brackets to establish the correct order of operation. I will assume you meant: 6/(x-6) + 3x/(x+5) - 1/( (x-6)(x+5) ) notice that the common denominator is (x-6)(x+5) so ... ( 6(x+5) + 3x(x-6) - 1)/( (x-6)(x+5) ) = (6x + 30 + 3x^2 - 18x - 1)/((x-6)(x+5)) = (3x^...
*January 29, 2015*

**math**

Daniel -- x John --- x+30 David --- 3(x+30) solve for x, the plug into my definitions x + x+30 + 3(x+30) = 400
*January 29, 2015*

**math**

make a rough sketch, let D be (x,y) vector AC = vector AB + vector AD <5,0> = <3,2> + <x-1,y-2> <5,0> = <x+2,y> x+2 = 5 ---> x = 3 y = 0 D is (3,0)
*January 29, 2015*

**math**

5 minutes depletes 3% of water 1 minute depletes 3/5 % of water 50 minutes depletes (3/5)(50) % or 30% of water We can't answer the number of gallons, unless we know how many gallons we started with
*January 29, 2015*

**Algebra**

written as 4x = y^2, you should realize that you have a parabola, with its axis of symmetry the x-axis, vertex as (0,0), opening to the right. domain: x ≥ 0 range : any real number btw, it is not a function e.g. both (4,4) and (4,-4) lie on it, so we have 2 different y ...
*January 29, 2015*

**Algebra**

looks like an AS a = 9 , d = 1 , n = ? a + (n-1)d = 87 9 + (n-1) = 87 n = 87-8 = 79 sum(79) = (79/2)(first + last) = (79/2)(9+87) = 3792 or sum = sum(all of 87) - sum(all of 8) = 87(88)/2 - 8(9)/2 = 3792
*January 29, 2015*

**math**

When the x = 0 in any point, that point lies on the y-axis Janine's error is probably not studying or not doing her homework
*January 29, 2015*

**Math**

You have made a contradictory statement. Is there a question?
*January 28, 2015*

**mixed number**

But he did tell you that in the first place. Did you not look at his solution? Looks pretty straight forward and correct to me.
*January 28, 2015*

**Geometry midpoint formula**

midpoint of diameter = ( (6+15)/2 , (8+8)/2) = ( 21/2 , 8) equation: (x-21/2)^2 + (y-8)^2 = r^2 plug in (6,8) 81/4 + 0 = r^2 (x-21/2)^2 + (y-8)^2 = 81/4 any other point? how about the y-intercept, let x = 0 441/4 + (y-8)^2 = 81/4 y-8 = ±√90 = ±3√10 y...
*January 28, 2015*

**Math**

Wow, 10 in a row without a single sign from you that you tried or where your difficulty lies. Where are you having difficulties, or did you just assume that we would do this assignment for you?
*January 28, 2015*

**Math**

you know A = π r^2 replace r with 2t^2 + 1 and expand differentiate to find the rate of change plug in t = 2
*January 28, 2015*

**Math**

rate of change of volume = change in volume / change in time = (30-0)/(5-0) = 6 cm^3 /second so if it fulls up at 6 cm^3 in 1 second , how much will there be in 12 seconds ?
*January 28, 2015*

**math**

-32 ≤ 24-2f 2f ≤ 24+32 2f ≤ 56 f ≤ 28 5 + c/9 ≥ -31 c/9 ≥ -31-5 c/9 ≥ - 36 c ≥ -324
*January 28, 2015*

**Geometry**

Let's assume that you are hanging the picture vertically, that is, the width is 20 and the length vertically is 25. so you want to maintain the ratio of height : width right now, height : width = 25 : 20 = 5 : 4 new width = 20+10 = 30 new height = x x/30 = 5/4 4x = 150 x...
*January 27, 2015*

**math**

number of pages ---- x (5/12)x = 24 x = 24(12/5) = 57.6 ??? You have confusing information. According to your wording the 24 pages he read on Monday were 5/12 of the total, but that came out to a partial page. Is that what you wanted? Were there perhaps 3 days?
*January 27, 2015*

**algebra**

2l + 2w = 22 l + w = 11 ---> l = 11 - w area = 30 lw = 30 (11-w)(w) = 30 11w - w^2 = 30 w^2 - 11w + 30 = 0 (w-5)(w-6) = 0 w = 5 or w = 6 if w = 5 , l = 11-5 = 6 if w = 6, l = 11 - 6 = 5 the dimension is 5 by 6 mm
*January 27, 2015*

**Math**

If you haven't already done so, you must memorize the basic trig rations of the 30-6-90° right-angled triangle, as well as the 45-45-90 triangle I often make a quick sketch of those and it is then easy to get those trig ratios you should recognize that tan60° = &#...
*January 27, 2015*

**math**

base will be 20-2x by 20-2x, and the height will be x Volume = x(20-2x)(20-2x) or x(20-2x)^2 clearly each of the dimensions must be positive, so 20-2x > 0 -2x > -20 x < 10 In my notation, 0 < x < 10, I will let you change it to yours.
*January 27, 2015*

**Calculus**

cost to produce 120 units = C(120) = 1000+5.7(120) + .7(120^2) = = 11764 cost to produce 100 units = C(100) = 8570 rate of change = (11764-8570)/(120-100) = 3194/20 = 159.70 dollars/unit repeat the process for 100 to 101
*January 27, 2015*

**algebra 2**

You have a typo and don't state how high above the water the diving board is. I will give it an arbitrary value of 6 ft. So the equation of height is h = -16t^2 + 10t + 6, where h is in ft and t is in seconds , where t ≥ 0 for a max height, we need the vertex of that...
*January 27, 2015*

**physics- vectors**

You must have meant, "What are (a) the magnitude and (b) the angle (relative to +x) of Vector C " A = (11.6cos36.5 + 11.6sin36.5) = (appr 9.32, 6.90) B = (14cos17.1 + 14sin17.1) = (appr13.38 , 4.12) vector C = (22.71 , 11.02) magnitude = √22.71^2 + 11.02^2) = ...
*January 27, 2015*

**algebra**

Algebaric expressions: algebraic expressions that are just plain barbaric.
*January 27, 2015*

**Kate**

I made a rough sketch of triangle JKR and filled in the angles. A basic property of triangles is that in any triangle, the smallest side is opposite the smallest angle, and the largest side is opposite the largest angle Since angle J of 75° is the largest, side RK must be ...
*January 27, 2015*

**math**

or, stated another way if x = 0 , y = -16 let's plug it in.... 0 + k(-16) + 15 = 0 k = 15/16
*January 26, 2015*

**math**

let's just look at the antifreeze, right now the volume of antifreeze is .7(4) L or 2.8 L Let the amount of the current fluid we are draining be x L Now 70% of that is antifreeze, so the amount of antifreeze we lose is .7x So the actual amount of antifreeze left in the rad...
*January 26, 2015*

**Math**

co-workers check -- x your check ------- .7x x + .7x = 695 1.7x = 695 x = 408.82 co-wks = $408.82 yours = .7(408.82) = $286.18 add them up to verify my answer
*January 26, 2015*

**Math**

Do you have a typo? You said, "What is P ?" but you said P = {1,2,3,4} , so we know it
*January 26, 2015*

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