Set three balls aside. Divide the remaining 6 balls into 2 groups of 3 and weigh them. If the groups weigh the same, the lightest ball must be in the group you set aside. Otherwise, the lightest ball is in the group that weighed less. Take the group of thee that remains and set aside one ball. Weigh the other two. If the two balls weigh the same, the lightest ball must be the one you set aside. Otherwise, the lightest ball is the one that weighed less.
In this hypothetical problem written by Richard Rusczyk: Tweedledum says, "The sum of your weight and twice mine is 361 pounds." Tweedledee says, "Contrariwise, the sum of your weight and twice mine is 362 pounds." If they are both correct, how much do Tweedledum and Tweedledee weigh together? Tweedledum and Tweedledee weigh 120 and 121 pounds respectively. (NB: Tweedledum and Tweedledee never actually had this converstion, and in the original book their weight remains a mystery...)
To get Tweedledee's side of it, divide 361 by 2 to get 180.5 lbs. Since they are the same exact size and age in proportion to their body size, shape, and age, then they are both 180.5 lbs. To find half of 361 lbs., just divide it by 2. To get Tweedledee's side of it, do the same for that number, and you get 181 lbs. They are arguing with one another as to what their weight is.
Twice the sum of 'x' and 'y' . . . 2(x+y) The sum of twice 'x' and 'y' . . . (2x+y)
The diameter of a circle is twice the radius.The diameter of a circle is twice the radius.The diameter of a circle is twice the radius.The diameter of a circle is twice the radius.
The measure of A is 60.
12
If Earth had the same size but twice the mass you would weight twice as much
Put the ball in the grass then water it twice
Put the ball in the grass then water it twice
Tough question to get into one sentence! You can do it in two weighings. Select any two of the balls and place one on each pan. If the scale balances, the third ball is the oddball. A second comparison will determine whether the oddball is lighter or heavier than the other two balls. Simply replace one of the first two balls with the oddball. If the oddball is heavier, its pan will drop; if it's lighter, its pan will rise. But what if the scale fails to balance the first time? (It is twice as likely that the scale will fail to balance when selecting two of the three balls at random for the first comparison!) If the scale fails to balance on the first comparison of two randomly selected balls, then you know that the oddball is on the scale, but you do NOT know which one it is, and you don't know whether it's heavier or lighter than the other two. A second comparison will resolve those issues. Remove the lighter ball from its pan and replace it with the third ball. If the scale remains out of balance, then you know that the heavier ball is the oddball, which is, of course, heavier than the other two. If, however, the scale balances, then the ball you removed is the oddball and is lighter than the other two.
no they have 4
One scale is reading 200N and the other is reading 400N.
Neither of them are absolute scales so that 2 degrees is not twice as warm (hot) as 1 degree. 10 degrees is not ten times as hot as 1 deg.
No big balls are often good
Richie Ashburn
i will be twice as heavy
because we have absolute temperature scales (Kelvin and Rankin). Something at 20'K is twice as hot as something at 10'K.