The correct answer is C. Note that the question implying that x is positive means x must always be greater than 0. Statement 1 is insufficient since x^2 = 3 => x = sqrt(3) or -sqrt(3) Statement 2 is insufficient because note that since we're not told y has to be an integer, y can take on the value 6...

This is not too bad of a problem if you remember the following: Average speed = (total distance)/(total time) Assume the distance from town A to B was d, then it follows that: d/x = Since this is distance over speed, it is the time it took Jacob to drive from Town A to Town B. d/y = Time it took Jac...

(0.93(x) + 0.75(10 - x))/(10) = 0.85

0.18(x) + 7.5 = 8.5

x = 100/18 = 50/9 = 5 5/9

Choose option 4.

Note that for each month of life, the animal population has a 90% chance of living. Therefore, the number of animals expected to survive the first 3 months of life is:

200(0.9)^3 = 200(81*9)/(1000) = (81*9)/5 => ((80 + 1)*9)/5

= 144 + 9/5 = 145.8

About 146

Choose B.

Let each side of the square be x. Area of square = x^2 Area of rectangular playground = (x + 30)(x - 20) Equating the two: x^2 = (x + 30)(x - 20) x^2 = x^2 + 10x - 600 600 = 10x => x = 60 m Choose E. Jim just made a slight mistake when he wrote -10x instead of +10x, so the answer should indeed be +6...

Assume that each ounce of corn puffs provides c calories and each ounce of fruit x provides x calories. c + 8x = 257 After the substitution, we find that that number of calories that fruit y provides for each ounce is x/(1.8). c + 8x/(1.8) = 185 Solving both the equations: 8x(8/18) = 72 => x = 81/4 ...

2a = 3b = 1 => a = 1/2 and b = 1/3

x(a + b) = y => y/x = (a + b) = 1/2 + 1/3 = 5/6

Choose D.

Let the number of votes casted be x.

Amount of votes received by Beth = 3x/10
Remaining votes = 7x/10
In order for Beth to receive 1/2 of the votes casted, she needs to receive x/2 votes.

x/2 - 3x/10 = x/5

(x/5)/(7x/10) = 2/7

Choose B.