Answer:
0.24
Step-by-step explanation:
2.88/12=0.24
Answer:
Restating the question clearly:
Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?
Answer:
He drinks
in 1 hour
Step-by-step explanation:
![Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\](https://tex.z-dn.net/?f=Rate%5C%20of%5C%20drinking%5C%20%3D%5C%203%5Cfrac%7B1%7D%7B2%7D%5C%20liters%5C%20per%5C%20%5Cfrac%7B2%7D%7B3%7D%5C%20of%5C%20an%5C%20hour%5C%5C)
![\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters](https://tex.z-dn.net/?f=%5Ctherefore%5C%203%5Cfrac%7B1%7D%7B2%7D%5C%20liters%5C%20is%5C%20consumed%5C%20in%5C%20%5Cfrac%7B2%7D%7B3%7D%20%5C%20hours%5C%5C%5Cfrac%7B7%7D%7B2%7D%20%5C%20liters%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5C%20hours%5C%5Ccross-multiplying%5C%5C7%20%5Ctimes%203%5C%20liters%20%3D%202%20%5Ctimes%202%5C%20hours%5C%5C21%5C%20liters%20%3D%204%5C%20hours%5C%5C4%5C%20hours%5C%20%3D%2021%5C%20liters%5C%5C%5Ctherefore%5C%20for%5C%20%201%5C%20hour%5C%5C%5Cfrac%7B4%7D%7B4%7D%5C%20hours%20%3D%20%5Cfrac%7B21%7D%7B4%7D%5C%20liters%5C%5C1%5C%20hour%20%3D%205.25%5C%20liters%5C%5C5.25%5C%20liters%20%3D%205%5Cfrac%7B1%7D%7B4%7D%5C%20liters)
Answer:
4( t - 7) ( t - 3 )
Step-by-step explanation:
4t² - 40t + 84
4(t² - 10t + 21)
4( t - 7) ( t - 3 )
the slope of the line is y = -1/2x -2
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