Thursday

August 25, 2016
Total # Posts: 35,552

**probability**

what is 360/(360+318) ?
*August 9, 2016*

**probability**

what is (61/100)(640) rounded to the nearest whole number ?
*August 9, 2016*

**probability**

use the concept that Bob showed you here: http://www.jiskha.com/display.cgi?id=1470754142
*August 9, 2016*

**Opt math URGENT**

RS = (1/16)(-6cosØ) I picked a random angle, Ø = 25 LS ≠ RS the equation is not true, thus we can't prove the identity
*August 9, 2016*

**Maths**

routine right-angled triangle trig x/3.8 = cos 65 x = 3.8cos 65° take over
*August 9, 2016*

**Math**

4x + 3.0 = -4x + 2.6 4x + 4x = 2.6 - 3.0 carry on, it is easy
*August 9, 2016*

**Math**

Start with the unit x x 1 x 6 1 -2 6 1, no way x 7 2 -1 7 2 , no way x 8 3 0 8 3 , not really a 3 digit number >b>1 9 4 ---- looks good 1 10 5 , no way
*August 9, 2016*

**Math**

"of" usually means multiplication , not subtraction, so you want (1/8)(12) = 12/8 = 3/2
*August 9, 2016*

**math**

smaller number --- x next consecutive number ---- x+1 3(1/(x+1)) - 1/x = 3/10 multiply each term by 10x(x+1), the LCM 30x - 10(x+1) = 3x(x+1) 30x - 10x - 10 = 3x^2 + 3x 3x^2 - 17x + 10 = 0 (x - 5)(3x - 2) = 0 x = 5 or x = 2/3 but our number was to be an integer, so x = 5 the ...
*August 9, 2016*

**Maths**

one number ---- x , the larger the other --- 14-x x(14-x) = 40 14x - x^2 = 40 x^2 - 14x + 40 = 0 (x-10)(x-4) = 0 x = 10 or x = 4 the two numbers are 10 and 4.
*August 7, 2016*

**Maths**

No typo, the solution is correct first case was 2 years ago 2nd case is 6 years from now what is the time difference? Husnain, I even checked to show you that answer is correct.
*August 6, 2016*

**Maths**

2 years ago: Susie---- x Ronald --3x 6 years from now: Susie = x+8 Ronald = 3x + 8 3x+8 = 2(x+8) x = 8 2 years ago, Ronald was 24 So now he is 26 check: ages now: Ronals --- 26 Susie ---- 10 6 years from now Ronald will be 32 Susie will be 16 Ronald is twice as old as Susie, ...
*August 6, 2016*

**ratio and proportions**

number of rabbits ---- x number of cats ------- 2x number of dogs ----- 3(2x) = 6x 6x - 10 = x 5x = 10 x = 2 so 2 rabbits 4 cats 12 dogs
*August 6, 2016*

**Math**

S(1) = 1/(1*2*3) = 1/6 S(2) = 1/6 + 1/(2*3*4) = 1/6 + 1/24 = 5/24 S(3) = 5/24 + 1/(3*4*5) = 5/24 + 1/60 = 9/40 Wolfram said: http://www.wolframalpha.com/input/?i=1%2F(1*2*3)+%2B+1%2F(2*3*4)+%2B+1%2F(3*4*5)+%2B+...+%2B+1%2F(n*(n%2B1)*(n%2B2))
*August 6, 2016*

**math**

−4≤2x+6<18 subtract 6 -10 ≤ 2x < 12 divide by 2 -5 ≤ x < 6 remember, only multiplication and division by a negative number will affect the inequality sign. Since I multiplied by +2, nothing happened.
*August 6, 2016*

**algebra**

let's assume you have 1/√(x+1) multiply top and bottom by √(x+1) 1/√(x+1) * √(x+1)/√(x+1) = √(x+1)/(x+1)
*August 6, 2016*

**math**

correct
*August 6, 2016*

**Algebra**

If you meant: (1/2)x(2x-4)^2 = (1/2)(x)( 2(x-2) )^2 = (1/2)(x)(2^2)(x-2)^2 = (1/2)(x)(4)(x-2)^2 = 2x(x-2)^2 ----> that answer was correct or 2x^3 - 8x^2 + 8
*August 5, 2016*

**Algebra**

smaller number ---- x "The larger of two numbers is 5 less than twice the smaller number" ---> 2x - 5 Now just translate: "The sum " ---> + "The sum of [four times the larger] and [twice the smaller number] ---> 4(2x-5) + 2x " is 100"...
*August 5, 2016*

**Incorrect Subject label - Maths**

discussed here: http://www.jiskha.com/display.cgi?id=1412345782
*August 5, 2016*

**ALGEBRA**

this has been answered
*August 5, 2016*

**A**

Once you see the pattern, listing 7 numbers in each case is a trivial problem. Option 1 - they tell you the pattern Option 2 - square the numbers Option 3 - double the previous number
*August 5, 2016*

**Math**

6 workers do 1 km in 4 days 1 worker does 1 k m in 4/6 or 2/3 days 4 workers do 1 km in 8/3 days 4 workers do 3 km in 3(8/3) or 8 days
*August 4, 2016*

**insight academy**

amount invested at 10% -- x amount invested at 12% ---- 12000 - x .10x + .12(12000 - x) = 1280 easy to solve for x
*August 4, 2016*

**Math**

you probably meant: A= (x+4)/(xsquared+9x+20) = (x+4)/((x+4)(x+5)) = 1/(x+5) , x ≠ -4 B = (3xsquared-9x)/(xsquared+3x-18) = 3x(x - 3)/((x+6)(x-3)) = 3x/(x+6) , x ≠ 3 clearly they are not equivalent I am sure you can handle the algebra from this point.
*August 3, 2016*

**math**

value = mt + 1500 when t = 4, value = 800 800 = 4m + 1500 4m = -700 m = -175 value = -175t + 1500 plug in t = 5 to find value
*August 3, 2016*

**someone please help me. - Precalc**

y=cos(x−5π/2) amplitude = 1 period = 2π If we had the simple curve y = cos x the quarter points would be (0,1) , (π/2, 0) , (π, -1), (3π/2 , 0) , and repeating at (2π, 1) but we shifted our basic cosine curve 5π/2 units to the right, so...
*August 3, 2016*

**Math**

It says f'(x) = 2x-1 for x ≤ 1, so x = 1 is included and valid for f'(x) to get f'(1) = 1 for x ≤ 1, f(x) = x^2 - x + c which is a parabola opening upwards, we don't know c but notice that when x = 1 , f(1) = c so it "ends" at (1,c) for x&...
*August 3, 2016*

**Math**

height --- 4.9 base --- 3.9 area = (1/2)base x height = ...
*August 3, 2016*

**Math Problem**

lots of "dogs and chicken" problems listed below in Related Questions. Take a look at some of them
*August 3, 2016*

**Math**

Think about where the zeros can come from 1! = 1 , 2! = 2 , 3! = 6 , 4! = 24, 5! = 120 <-- our first zero ..... 10! = 3628800 <-- our 2nd zero that is, a zero comes from a number ending in 2 multiplied by a number ending in 5, or by a number ending in 0 so the zeros ...
*August 3, 2016*

**maths**

cost price ---- x final selling price = 1.04x but that represents 90% of the marked price so the marked price = 1.04x/.9 = 1.1555...x so the marked price is 15.55..% higher than the cost price. e.g. suppose the cost price is $100 marked up price = 100(1.155...) = 115.56 now ...
*August 3, 2016*

**math**

suppose you had 5 bags and each bag would contain 6 apples. How many apples would you have? What operation did you just perform? Do the same for your question.
*August 3, 2016*

**calculus**

height = -4.9t^2 + vt+ c but it said "groundlevel" ---> c=0 height = -4.9t^2 + vt 0 = -4.9(400) + 20v 20v = 1960 v = 98 So the initial velocity was 98 m/s height = -4.9t^2 + 98t d(height)/dt = -9.8t + 98 = 0 at maximum height -9.8t + 98 = 0 t = 10 seconds (We ...
*August 2, 2016*

**Math**

routine right-triangle trig. cos35° = 42/hypotenuse hypotenuse = 42cos35 = 34.4 ft to the nearest whole number, 34 ft
*August 2, 2016*

**math**

It gets even more complicated when you consider that more than likely compound interest would have been used. So at what rate are 24 payments equivalent to a present value of 3438 ? 165(1 - (1+x)^-24)/x = 3438, where x is the monthly rate tough to solve, used Wolfram: http://...
*August 2, 2016*

**maths**

number of boys ---- b number of girls ----- g b = 4g + 3 b-3 = 4g g= (b-3)/4 e.g. let the number of boys be 43 then girls = (43-3)/4 = 10 4 times the number of girls plus 3 = 4(10)+3 = 43 which is the number of boys
*August 2, 2016*

**Math**

They would be separating at 500 ft/min time to go 3000 ft at that speed = 3000/500 min or = 6 minutes or time taken --- x minutes distance of one student = 300x distance of other student = 200x 300x + 200x = 3000 500x = 3000 x = 6 , just like above.
*August 2, 2016*

**Math**

1 L take you 64/7 km 9/8 L take you (64/7) * (9/8) or 72/7 km or 10 2/7 km = appr 10.29 km again, I repeat my concern about decimals vs fractions. First of all you rounded off intermediate answers, so the error just gets compounded
*August 2, 2016*

**Math**

40 5/6 = 240/6 + 5/6 = 245/6 review how to change a mixed fraction to a usable fraction.
*August 2, 2016*

**Math**

(5/9) / x = (245/6) / 1 245x/6 = 5/9 245x = 6(5/9) = 10/3 x = 10/735 = 2/147 or appr .0136 1 cm^3 weighs 2/147 kg you are correct, notice that since the original data was given in exact fractions, it might be a good idea to state the answer as a fraction
*August 2, 2016*

**Opt math**

Let ABC be a right-angled triangle with ∠ABC = 60° and ∠CAB = 30°. Let ABD be a right-angled triangle on the same side of AB with ∠ABD = 40° and ∠DAB = 50° Suppose that AC and BD intersect at E, and that the length of BC is 1, so that ...
*August 2, 2016*

**Math**

25x³-36x step1, common factor = x(25x^2 - 36) step2, recognize the difference of squares = x(5x-6)(5x+6)
*August 2, 2016*

**maths**

original price ---- x reduced price = .8x number of kg purchased at original price = 160/x number of kg purchased at reduced price = 160/(.8x) 160/(.8x) - 160/x = 2/5 200/x - 160/x = 2.5 40/x = 2.5 2.5x = 40 x = 16 find the original rate ???? the reduced price = .8(16) = 12.8...
*August 2, 2016*

**maths**

I sure hope these are not US or Canadian dollars. number of kg of expensive : cheaper = 5x : 2x cost = 250(5x) + 75(2x) = 1400x selling price = 230(7x) = 1610x percent gain/loss based on cost price = (1610x - 1400x)/(1400x) = 210/1400 = .15 profit is 15%
*August 2, 2016*

**math**

If the question had the dimensions are whole numbers. How about x = appr 1.98 ? http://www.wolframalpha.com/input/?i=2(x(2x)+%2B+x(x%2B2)+%2B+2x(x%2B2))+%3D+63
*August 2, 2016*

**Math**

number of ducks ---- d number of goats ----- g d + g = 30 , they have 1 head each 2d + 4g = 94 or d + 2g = 47 subtract the two equations: g = 17 the d + 17 = 30 ----> d = 13 state the conclusion
*August 2, 2016*

**maths**

What is 1 - (.8)(.9) as a percentage ?
*August 2, 2016*

**maths**

find the original rate ? you meant: find the original price ? let original price be x .8x = 160 x = 160/.8 = 200 but that is for 2.5 kg so original price per kg = 200/2.5 = 80 reduced price per kg = 160/2.5 = 64 notice that 64 equals 80% of 80
*August 2, 2016*

**Math 6th Grade**

the LCM ≥ GCF So the only cases to get a product of 12 is: 12 1 6 2 4 3 suppose we have a LCM of 12 and a GCF of 1 how about 12, 1 coming from 3,4 checking: so the number pair (3,4) has a LCF of 1 , and a HCM of 12, product is (1)(12) = 12 looks good! does 6,2 work? LCM...
*August 2, 2016*

**maths**

total time = 5 hrs, 15 minutes = 5.25 hrs let the total journey be 2x time at 60 km/h = x/60 time at 45 km/h = x/45 x/60 + x/45 = 5.25 = 21/4 times 180 , the LCD 3x + 4x = 945 7x = 945 x = 135 total distance = 2x = 270 km check: 135/60 = 9/4 hrs 135/45 = 3 hrs total time = 9/4...
*August 2, 2016*

**maths**

let the travel time be t hrs let the stoppage time be s hrs without stopping, distance = 60t with stops, distance = 40(t+s) 60t = 40t + 40s 20t = 40s t = 2s So for any given time, the train spends twice the time driving as it does stopping or in hour , the time stopping is 20 ...
*August 2, 2016*

**Math**

brother's age ---- x Lily's age ------- x+ 14 8 years from now: brother's age = x+8 Lily's age = x+14 + 8 = x + 22 x+22 = 2(x+8) solve for x and sub into my definitions
*August 1, 2016*

**Calculus**

find their intersection x^2 - 4x + 1 = -x^2 + 4x - 5 2x^2 - 8x + 6 = 0 x^2 - 4x + 3 = 0 (x-1)(x-3) = 0 x = 1 or x = 3 look at http://www.wolframalpha.com/input/?i=y+%3D+x%5E2+%E2%88%92+4x+%2B+1+,+y+%3D+%E2%88%92x%5E2+%2B+4x+%E2%88%92+5 As you can see, they cross at (1,-2) and...
*August 1, 2016*

**algebra quadratic equations**

base --- x height = x-1 area of triangle = (1/2) base x height (1/2)(x)(x+1) = 105 x^2 + x = 210 x^2 + x - 210 = 0 (x+15)(x-14) = 0 x = -15 or x = 14, but x > 0 base is 14 cm, height is 15 cm check: area = (1/2)(15)(14) = 105 all is good!
*August 1, 2016*

**maths**

after markup ---- > 140% after discount --- .75(140)% = 105% so the trader makes a profit of 5%
*August 1, 2016*

**maths**

right now: number of girls ---- x number of boys --- x+15 after increase: girls ---- 1.15x boys ---- 1.2(x+15) boys - girls = 29 1.2(x+15) - 1.15x = 29 1.2x + 18 - 1.15x = 29 .005x = 11 x = 220 there are 220 girls and 235 boys or a total of 455 students check: 1.2(235) = 282 1...
*August 1, 2016*

**math**

I do not understand the question.
*August 1, 2016*

**Calculus**

Let the right-hand corner vertex be P(x,y) but 3x+2y = 1 y = (1-3x)/2 or 1/2 - (3/2)x area = xy = x(1/2 - (3/2)x) = (1/2)x - (3/2)x^2 d(area)/dx = 1/2 - 3x = 0 for a max of area 3x = 1/2 x = 1/6 y = 1/2 - (3/2)(1/6) = 1/4 ---> P is (1/6 , 1/4) max area = xy = (1/6)(1/4) = 1...
*August 1, 2016*

**PreCalculus**

You didn't define your x and y, but I will assume that they represent length and width. So your first equation of xy = 30 is correct Your second equation makes no sense I will let x be one of the sides costing $55/ft From the data, I get Cost = 40x + 15(x+2y) = 40x + 15x...
*August 1, 2016*

**Math**

13/9 + 10/3 + 4 = 13/9 + 30/9 + 36/9 = ...
*August 1, 2016*

**maths**

The slope of a line equals tan A, where A is the angle that the line makes with the x-axis So the slope of your line is tan (-135°) = 1 then y = x + b but (3,4) lies on it, ... 4 = 3 + b b = 1 y = x + 1 or x - y = -1
*August 1, 2016*

**math (integral)**

You probably meant y=e^(-x^2) look at the graph http://www.wolframalpha.com/input/?i=y%3De%5E(-x%5E2) the maximum ordinate is y = 1 however, the function never reaches the x-axis, so there is a "gap". Unless you left out some vertical boundaries, the question is bogus.
*July 31, 2016*

**math (integral)**

Did you mean y = ln x ? , I will assume you did Make a sketch to see the region in question. so you want ∫ lnx dx from x = 1 to e = [xlnx - x] from 1 to e = elne - e - (1ln1 - 1) = e - e - 0 + 1 = 1 (the integral of lnx should be in your repertoire of standard integrals)
*July 31, 2016*

**Math**

not enough information: Are the chairs in a line? Are the chairs in a circle? Suppose they are in a line. Number of ways to choose 5 of the 8 chairs to seat the boys = C(8,5) = 56 but for each of those choices, we can arrange the 5 boys in 5! ways. number of ways to seat 5 ...
*July 31, 2016*

**maths**

We could do it algebraically but there are so few choices, let's just take the cases. "its unit's digit exceeds twice its ten's digit by 2" ---> 14, 26, 38, 4x, the x would have to be 10 so 14, 26, or 38 in which of these do we get a product of 24 from...
*July 31, 2016*

**algebra**

x^2 + x^2/(x+1)^2 = 3 times (x+1)^2 x^2(x+1)^2 + x^2 = 3(x+1)^2 x^2(x^2 + 2x + 1) + x^2 = 3(x^2 + 2x + 1) x^4 + 2x^3 + x^2 + x^2 = 3x^2 + 6x + 3 x^4 + 2x^3 - x^2 - 6x - 3 = 0 nasty equation, so I tried Wolfram, http://www.wolframalpha.com/input/?i=x%5E4+%2B+2x%5E3+-+x%5E2+-+6x...
*July 31, 2016*

**kaushik**

Simple interest or compound interest? at simple interest, let the original be $x change our times to months ---> 2 yrs, 3 months = 27 months interest = x(.11)(27/24) = 99x/800 x+99x/800 = 4491 x(1 + 99/800)= 4491 x = 3996.44 in 3 years: amount = 3996.44 + 3996.44(.11)(3) = ...
*July 31, 2016*

**math**

assuming log2 (4y) means log2 (4y) I could write 5 as log2 32 so we have: 5 - log2 (4y) = log2 32 - log2 (4y) = log2 (32/(4y)) = log2 (8/y)
*July 30, 2016*

**pre algebra**

let the smaller be x let the larger be 44+x translate: "Five times the smaller is equal to 8 more than the larger" ----> 5x = 44+x + 8 4x = 52 x = 52/4 = 13 smaller is 13 , larger is 57 check 57-13 = 44 , check!! 5 times the smaller is 65 is 65 greater than 57 by ...
*July 30, 2016*

**math**

one number .... x other numbr .... 2x + 3 x(2x+3) = 35 2x^2 + 3x - 35 = 0 it factors .... (2x-7)(x+5) = 0 x = 7/2 or x = -5 but since the numbers are negative x = -5 one number is -5 the other is -7
*July 30, 2016*

**Calculus AB**

From you subject title, I will assume you have studied vectors. let r be the resultant vector 40 min at 3.5 mph = 7/3 miles 20 min -----> 7/6 miles 60 min -----> 7/2 miles 15 min -----> 7/8 miles r = ((7/3)cos0, (7/3)sin0) + ((7/6)cos245, (7/6)sin245) + ((7/2)cos345...
*July 30, 2016*

**Calculus AB**

So the other angle must be 180-2(55) or 70° draw in the height, h You now have a right-angled triangle, let the hypotenuse be x you can find the height by tan 55° = h/10 you can find the side by cos 55° = 10/x once you have x, you can find the perimeter. once you ...
*July 30, 2016*

**Calculus AB**

That was my answer.
*July 30, 2016*

**Calculus AB**

If you make a good sketch , this is not that hard I labeled the cars as A for the farther none, and B as the closer one. Let C be the base of the building So we want to find AB Two right-angled triangles, were clearly the angle at A is 29.5° and the angle at B is 38.2°...
*July 30, 2016*

**Calculus AB**

Let's visualize what we have here: recall that cos Ø = adjacent/hypotenuse and arccos((x+1)/2) mean we have an angle Ø so that cos Ø = (x+1)/2 so construct a right-angled triangle with base of x+1 and hypotenuse 2 and base angle of Ø Let the ...
*July 30, 2016*

**Math**

4*15-11+8-2 = 55
*July 30, 2016*

**Maths**

just plug in n = 1, n = 3, n = 5 If will do the n = 3 S(n) = 3(3) - 2 = 7
*July 30, 2016*

**Math**

Probably meant to type: x= 2-3t, y= -1+5t from x= 2-3t, -----> t = (2-x)/3 rom y= -1+5t ---> t = (y+1)/5 (2-x)/3 = (y+1)/5 3y+3 = 10 - 5x 5x + 3y = 7 slope = -5/3
*July 30, 2016*

**Math**

What is a "po" ?? are we solving 4(4x)^2 + 2(4x) + 5 = 0 ?? (we "solve" equations, you had no equation) let 4x = y, so your equation becomes 4y^2 + 2y + 5 = 0 y = (-2 ± √-76)/8 = (-2 ± 2√19 i)/8 = (-1 ± √19 i)/4 4x...
*July 29, 2016*

**MATH**

the way you typed it ... a = -(1)^n 1^anything = 1 so a = -1
*July 29, 2016*

**math**

a=2/3b 3a = 2b b = 3a/2 c=3/2b 2c = 3b b = 2c/3 thus: 2c/3 = 3a/2 4c = 9a 4/9 = a/c a : c = 4 : 9 notice 2/3b ≠ 2/(3b) I assumed you meant it the way you typed it.
*July 29, 2016*

**statistics**

it said "without replacement" , so the prob that the second is faulty is not 15% Bernie, what part of my solution did you not like ? http://www.jiskha.com/display.cgi?id=1469831346
*July 29, 2016*

**math**

There are actually more than what I gave you. Mine are only from the addition of these angles. How about subtractions ? e.g. 45 - 30 = 15 Can you find some more?
*July 29, 2016*

**math**

How would you get 145°
*July 29, 2016*

**math**

mmmh??? I could do a 30°, 45°, 60° , 90° , 75°, 105°, 120°, 135°, 150°, 165° Can you see any I missed ?
*July 29, 2016*

**Maths**

My assumption is that this question contains a typo. The effect is that I can't do the question.
*July 29, 2016*

**math**

complementary angles add up to 90° let the two angles be 3x and 2x, then their difference is x but 3x + 2x = 90 5x = 90 x = 18 the difference in the two angles is 18° check: one is 3(18) = 54 the other is 2(18) = 36 and what is their difference ??
*July 29, 2016*

**Math**

width ---- w length ---- w+5 P = 2w + 2(w+5) = 2w + 2w + 10 = 4w + 10 4w + 10 ≤ 150 4w ≤ 140 w ≤ 35 max width is 35 m
*July 29, 2016*

**Math**

I am a bit confused myself, unless you have a typo. I will assume you meant your first set to be x = 3-2t, y = -2 + 5t so -1+ 3s = 3 - 2t ---> 2t + 3s = 4 ** and -2 + 5t = 5 - 9s ---> 5t + 9s = 7 *** 3 times ** ---> 6t + 9s = 12 subtract *** t = 5 back in ** 10 + 3s...
*July 29, 2016*

**statistics**

done, look back
*July 29, 2016*

**statistics**

prob = (3/20)(2/19) = 3/190 same question as: I have 20 marbles of which 3 are red I choose 2 without replacement, what is the probability that they are both red
*July 29, 2016*

**math**

So we need a triangle with area of 30 cm^2 let the length of each of the equal sides of the isosceles triangle be x, and the height be h h^2 + 6^2 = x^2 ** but we also know that the area of the triangle is (1/2)(12)h = 30 6h = 30 h = 5 then in ** 25 + 36 = x^2 x^2 = 61 x = &#...
*July 29, 2016*

**math**

By the definition of a rhombus , all sides are equal, so if one side is 10, then all sides are equal to 10. Also, the diagonals bisect each other at right angles creating 4 congruent right-angled triangles. Looking at one of these triangles, we have sides 3x, 4x, and ...
*July 29, 2016*

**oops - Calculus**

dont' know where the 65 came from simply change it to 64 and complete the solution, you should get 48 and 16
*July 28, 2016*

**Calculus**

A product is the result of a multiplication. "product of one of them plus the cube of the other" is mathematically confusing, since "plus" implies addition. I will assume you meant: "product of one of them with the cube of the other" let the one ...
*July 28, 2016*

**maths**

(3-√-16) = 3 - 2i recall: √-1 = i √-16 = √4 x √-1 = 2i
*July 27, 2016*

**Math**

let the two numbers be x and x+1 x + x+1 = S 2x = S - 1 x = (S-1)/2 The square of the larger number minus the square of the smaller number = (x+1)^2 - x^2 = x^2 + 2x + 1 - x^2 = 2x + 1 = (S-1) + 1 = S check: let's take 37, and 38 sum = 75 square of larger =1444 square of ...
*July 27, 2016*

**Math**

15/4 = 3.75 or = 3 3/4 as a mixed fraction or how about (1/2)(7.5) or (1/4)(15 or .....
*July 27, 2016*

**GP**

so the GP terms are: a+d, a+3d, and a+6d (a+3d)/(a+d) = (a+6d)/(a+3d) (a+6d)(a+d) = (a+3d)^2 a^2 + 7ad + 6d^2 = a^2 + 6ad + 9d^2 ad = 3d^2 divide by d a = 3d common ratio : r = (a+3d)/(a+d) = 6d/(4d) = 3/2
*July 27, 2016*