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Answers by Amarjeet K.

Assess It #40 (answer)

 72 + b2 = 252   b2 = 252 - 72   b2 = 625 - 49   b2 = 576   b= √576 = 24   :)

Let speed of wind be "w" mph plane speed with the wind = 200+ w  mph plane speed into the wind = 200 - w   mph   Time to travel 500 miles with wind = 500/(200+w) hours Time to travel 500 miles into the wind = 500/(200-w) hours   so   500/(200...

Total ingredients have been reduced by a factor of 280/400= 0.7 All the ingredients should also be reduced by the same factor Chicken - 190 x 0.7 = 133 kg Eggs - 115 x 0.7 = 80.5 kg Sugar - 95 x 0.7 = 66.5 kg :)

Stopping distance is directly proportional to square of speed. So if speed is doubled stopping distance will be 22=4 times = 4x110 = 440ft. :)

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 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...

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...