Let width be x so length = 2x -65 perimeter = 2x + 2(2x-65) = 830 solve for x 2x + 4x - 130 = 830 6x = 960 x = 960/6 = 160 so width = 160 and length = 2x160 -65 = 255 :)
Let width be x so length = 2x -65 perimeter = 2x + 2(2x-65) = 830 solve for x 2x + 4x - 130 = 830 6x = 960 x = 960/6 = 160 so width = 160 and length = 2x160 -65 = 255 :)
Let one number be x so other number must be x-3/4 x + x - 3/4 = 9 1/4 = 37/4 solve for x 2x = 37/4 + 3/4 = 40/4 x = 40/(2x4) = 40/8 = 5 so one number is 5 and other number is 5-3/4 = 4 1/4 :)...
Let amount Kevin kept for himself = x x + x/2 + x/4 = 735000 solve for x 7x/4 = 735000 x=420000 Kevin got = $420,000 Daughter got = 420000/2 = $210,000 Father got = 420000/4 = $105,000
Top soil required = 50 x 40 x 0.5 = 1000 cubic feet = 1000/27 cubic yard Option 1 Bags required = 1000/3 = 333.33 ~ 334 bags cost = 334 x 2.25 = $751.50 Option 2 Cost = (18 x 1000/27) +50 = $716.67 Option 1 is less expensive...
Let amount invested in 6% account = X So amount invested in 9% account = X + 2000 Interest earned by 6% account = X x 6/100 x 1 = 6x /100 Interest earned by 9% account = (X+2000) x 9/100 x 1 = 9x/100 + 180 as per question 6x/100...
Let number of T shirts bough6t = x 15x + 6 = 111 solve for x 15x = 111 - 6 x = 105/15 x= 7 :)
πr2h = 1.84 ft3 /min - as long as flow rate is constant and independent of height of water in the pool. 3.14 x 152ft2 x h = 1.84 ft3 /min calculate h :)
distance between two points whose coordinates are x1y1 and x2y2 ü√(y2-y1)2 + (x2-x1)2 In this case a and b are on x axis and their y coordinates are 0. Plug in values x2 = b and x1=a Distance = b-a also we know absolute value of b-a is...
Distance travelled = ∫ (0.3t2 + 8t)dt Integrate from t = 0 to 4 Distance travelled = 0.3t3/3 + 8t2/2 Distance travelled = (0.3 x 43/3 + 8 x 42/2) - 0 Distance travelled = 70.4 units :)
3x + 5x + 9x = 136 17x = 136 x = 136/7 length of all the pieces are: 3 x 136/7, 5 x 136/7, 9 x 136/7 :)
Assume sister read x books so sagar read x+5 x + x + 5 = 23 2x = 18 x = 9 sister read 9 books sagar read 9+5 = 14 books :)
120 + 1.5x = 150 + 1x Time of make pies on Monday = 120 minutes Time to make pie on Tuesday - 150 minutes x = number of potatoes Solve for x 0.5x = 30 x = 60 :)
Volume of sphere, V = 4/3 Π r3 Rate of change of volume with respect to time = dV/dt Differentiate expression of V with respect to time(per week) dV/dt = 4/3 x Π x 3r2 = 4Πr2dr/dt radius r...
Function of instantaneous height with respect to time instantanious distance = 6 + ut - 1/2 gt2 u = initial velocity = 20 ft/sec g = acceleration due to gravity t = time Fucntion of final velocity with respect to time Final velocity...
1 mole of NaCl will have 6.023 x 1023 atoms 8.56 x 1033 moles will have 6.023 x 1023 x 8.56 x 1033 = 51.55688 x 1056 atoms :)
Assume Bert started with x money spent on notebook = 4.75 Remaining money = x-4.75 spent on text book = 1/2 (x - 4.75) remaining money = (x - 4.75) - 1/2(x - 4.75) = 1/2(x - 4.75) spend on sheet music = 4 remaining...
Second plan will fetch him = .25 + .5 + 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 255.75 second plan would be most profitable. :)
Find slopes of both lines. If product of the slopes is -1 then the line are perpendicular. Slope of line AB = (9-6)/(-4 -1) = -3/5 Slope of line CD = (1-9)/(3-9) = 8/6=4/3 Products of two slopes is not -1 so lines are not perpendicular :)
Assume 100 beans in the soup Lentils = 36/100 x 100 = 36 Green = 33.33/100 x 36 = 12 If green lentils are removed left beans = 100 - 12 = 88 Left beans = 88/100 x 100 = 88% of original beans x = 8...
Amount = principal ( 1+ r)n Amount = 1200 ( 1+ 4.5/100)55-19 = 5852.85