Four fewer than two fewer than three times a number. You need to be very careful about phrases like three times a number reduced by two for 3*x-2 because the phrase could also refer to three times (a number reduced by two) ie 3*(x-2).
3x + 12 < 20
Three eighths. Imagine you have 8 marbles. o o o o o o o o Three eighths (3/8) is where you have three marbles o o o Two eighths (2/8) is where you only have two marbles o o Hence, 3/8 is the larger one. Happy times!
Depends on the color of the marbles, or more specifically, it depends upon how many of the marbles are blue. If 0 marbles are blue, then the chance is 0. If 1 marble is blue, then the chance is 1/4. If 2 marbles are blue, then the chance is 1/2. If 3 marbles are blue, then the chance is 3/4. If 4 marbles are blue, then the chance is 1. These probabilities assume that you draw only once. The other possibilities are that you draw twice, or three times, or four times. If drawing multiple times, it can be done by putting back each marble after it was drawn, or by keeping it out after it has been drawn.
5x < 20
at least 39 blue marbles
3n-7
Four fewer than two fewer than three times a number. You need to be very careful about phrases like three times a number reduced by two for 3*x-2 because the phrase could also refer to three times (a number reduced by two) ie 3*(x-2).
Set up the problem as: y=number of yellow marbles & 4y=number of blue marbles. 40=y+4y or 40=5y or y=8. Therefore number of blue marbles is 4*8 = 32.
This expression would be 3x-7.
3x + 12 < 20
They started off with A = 128, B = 32.
48 marbles
Three eighths. Imagine you have 8 marbles. o o o o o o o o Three eighths (3/8) is where you have three marbles o o o Two eighths (2/8) is where you only have two marbles o o Hence, 3/8 is the larger one. Happy times!
The maximum number of marbles you have to draw is three. 1) Draw a marble. It is either white or black. 2) Draw a second marble. If it is the same colour as the first marble, we are done after two draws. 3) Otherwise, the drawn marbles have different colours. Draw a third marble. No matter what you draw next, you must have two marbles of the same colour.
Depends on the color of the marbles, or more specifically, it depends upon how many of the marbles are blue. If 0 marbles are blue, then the chance is 0. If 1 marble is blue, then the chance is 1/4. If 2 marbles are blue, then the chance is 1/2. If 3 marbles are blue, then the chance is 3/4. If 4 marbles are blue, then the chance is 1. These probabilities assume that you draw only once. The other possibilities are that you draw twice, or three times, or four times. If drawing multiple times, it can be done by putting back each marble after it was drawn, or by keeping it out after it has been drawn.
5x < 20