.05x = 16000 x=320,000
5x2 - 6x = 0Factor the left side:x (5x - 6) = 0The equation is satisfied ifx = 0,or if5x - 6 = 05x = 6x = 6/5
Letx = number of nickels 7x = number of dimes 7x (.10) + x (.05) = 3.75 .7x + .05x = 3.75 .75x = 3.75 x = 3.75/.75 = 5 nickels 7x = 35 dimes
Let X be the original price .05X = first discount new price is X-.05X .20(X-.05X) = 2nd discount new price is X -.05X - .20(X-.05X) new price = X - .05X -.20X + .01X = X - .24X equiv discount = .24 = 24%
9E-05x
5x^2 + 40x = 05x(x + 8) = 05x = 0 or x + 8 = 0x = 0 or x = -8Check:
no .05+ 25= 25.5
.05x = 16000 x=320,000
5x2 - x - 4 = 0(5x + 4) (x - 1) = 05x + 4 = 05x = -4 ===> x = -(4/5)x - 1 = 0 ==> x = 1
.05x=2300 x=2300/.05 x=46000
x + 4x = 05x = 0x = 0/5x = 0
15
15
5x + (4 - 4x) = 05x + 4 - 4x = 0x + 4 = 0Subtract 4 from each side:x = -4
.05x=7474/.05 = xx = 1480100% is 1480, 1/15 is 6.6666% so 6.666% of 1480 = 98.66698.6666