0.05 = 5 (1/150) + 1/xWrite the left side as a fraction:5/100 = 5/150 + 1/xMultiply each side by 'x':5x/100 = 5x/150 + 1Multiply each side by 100:5x = 500x/150 + 100Multiply each side by 150:750x = 500x + 15,000Subtract 500x from each side:250x = 15,000Divide each side by 250:x = 60
Supposing that the actual pool is (a)m long and (b)m wide, then the total property will be (a+6)m long and (b+4)m wide.The next step is to find a relationship between a and b.ab = 150Therefore a = 150/bTherefore, total property area will be:(150/b + 6)(b+4)= 150 + 600/b + 6b + 24= 6b + 600/b + 174= 6b + 600b-1 + 174Taking the derivative and setting it to zero:0 = (6b + 600b-1 + 174)'= 6 + -1*600*b-2= 6 - 600/b2Therefore:6 = 600/b21 = 100/b2b2 = 100b = 10a = 150/10= 15To check whether we have the minimum for area, take the second derivative:(6 - 600/b2)' = (6 - 600b-2)'= 0 - -2*600b-3= 1200b-3= 1200/b3If b is positive, the second derivative will also be positive, so we do have a minimum.Therefore total area of the property:(a+6)m * (b+4)m = (15+6)m * (10+4)m= 21m * 14m= 294m2
64+86=150 84+66=150 94+56=150
5,400
155
4
150
150
150
A quarter of 600 ml is 150 ml. To find a quarter of a quantity, you divide it by 4. So, 600 ml divided by 4 equals 150 ml.
40
LCM of 150 and 600 is 600.
150, 225, 300, 375, 450, 525, 600, 675 +75 . . .
Least common multiple of 150 200 and 600 is 600.
150% of 600 would be 900. We can break this down. What is 100% of 600? It's 600. What is 50% of 600? It's 300. So 100% (600) + 50% (300) = 150% or 900.
150 225 300 375 450 525 600 675 750 and so on ...
The LCM is 600.