Answer:
47/12, or 3 11/12
Step-by-step explanation:
9 1/2 - 5 7/12 > convert to improper fractions
19/2 - 67/12
make same denominator (12)
19/2 * 6 = 114/12
114/12 - 67/12 = 47/12
Answer:
Step-by-step explanation:
Distance traveled in
hours = ![\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D)
Distance traveled in 1 hour =
÷ ![1\frac{4}{5}](https://tex.z-dn.net/?f=1%5Cfrac%7B4%7D%7B5%7D)
÷ ![\frac{9}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B5%7D)
![= \frac{3}{10}*\frac{5}{9}\\\\=\frac{1}{2}*\frac{1}{3}\\\\=\frac{1}{6}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B3%7D%7B10%7D%2A%5Cfrac%7B5%7D%7B9%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B6%7D)
distance traveled in 3 1/5 hours = ![\frac{1}{6}*3\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%2A3%5Cfrac%7B1%7D%7B5%7D)
=
Answer:
The equation of line with given points is y - 4 = 3 ( x + 2 ) .
Step-by-step explanation:
Given as :
The points of line are ( 1 , 13 ) and ( - 2 , 4 )
The point slope intercept equation of line is
y -
= m ( x -
)
Where m is the slope of line
So , Slope , m = ![\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Or, m = ![\frac{4 - 13}{ - 2 - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%20-%2013%7D%7B%20-%202%20-%201%7D)
Or, m = ![\frac{ - 9}{ - 3}](https://tex.z-dn.net/?f=%5Cfrac%7B%20-%209%7D%7B%20-%203%7D)
∴ m = 3
Now The equation of line is
y -
= m ( x -
)
Or. y - 13 = 3 ( x - 1 )
Or, y - 13 = 3 x - 3
Or, y = 3 x - 3 + 13
∴ y = 3 x + 10
I.e y - 4 = 3 x + 6
Or, y - 4 = 3 ( x + 2 )
Hence The equation of line with given points is y - 4 = 3 ( x + 2 ) . Answer
The least common multiple would be 209