One faucet fills a barrel in 6 minutes while an another one - in 12 minutes. if both faucets are turned on for one minute, what fraction of the barrel will be left to fill?

3/4th part will be left to be filled.

Step-by-step explanation:

One faucet fills a barrel in 6 minutes therefore in one minute the part of a barrel will be filled = 1/6

Similarly second faucet fills the barrel in 12 minutes and in one minute second faucet will fill the part of barrel = 1/12

Now both the faucets are turned on for one minute therefore total part of the barrel is filled = 1/6 + 1/12 = 3/12 = 1/4

Therefore part of barrel left to be filled = 1 - 1/4 = 3/4

step-by-step explanation:

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.