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Answers by Tim E.

OK, I ASSUME YOU MEAN   4 / (SQRT(2) + 3)    CORRECT ??   IF SO, TO RATIONALIZE WE NEED TO REMOVE THE SQRT FROM THE DENOM.    WE DO THAT BY MULTIPLYING NUMBERATOR AND DENOMINATOR BY  THE CONJUGATE   THE CONJUGATE IS USING...

let X = NUMBER OF EGG SANDWICHES let Y = NUMBER OF TUNA SANDWICHES     SO THE RATIO  X/Y  =  2/3     NOW,  X / (Y + 15)  = 1/3      SO WE HAVE 2 EQUATIONS, 2 UNKNOWNS.    CROSS MULTIPLY...

if I read this right, and the square root is of the quantity (2x+5)   SQRT(2X+5) = X + 3     square both sides   2X + 5 = (X+3)^2   2X + 5 = X2 + 6X + 9     combine terms, and put all on...

Interest = 2.65%   Initial Value = $10,000   after 1 year, the value is   10,000 x 1.0265 = 10,265.00 after 2 years, the value is 10,000 x 1.0265 x 1.0265 so each year the previous value is just mult by 1.0265   i    year   ...

mean = 82 1 std dev = 5 2 std dev = 10   for a normal distribution  +/- 1 std dev = 68.2 %   or 34.1% to each side of the mean +/- 2 std dev = 95.4 %   or 47.7% to each side of the mean   I hope this graphically shows the...

Find the time (answer)

THE PHYSICS EQN IS JUST  X = ACC*T2/2  + V*T + X0   FOR BOTH CARS, THEY HAVE NO INITIAL SPEED V1  OR DISPLACEMENT X0   SO X = ACC*T2/2    CAR A HAS ACC = 5.5  BUT LEAVES 1.5 SEC AFTER CAR B CAR B HAS ACC = 4.4   XB...

the number of each coin times their value is the total amount, so   P = number of pennies N = number of nickels D = number of dimes   so we can write our total cents equation:   P(1) + N(5) + D(10) = 64      ! numbers...

the question doesn't say how many dolls.  there would be an infinite number.  But we'll just form the equation for the nth doll.      Largest doll =  12 inches 2nd doll      =  (12) x 0.7 3rd doll      =  (12...