2/5 = 8/20 and 3/10 = 6/20 which = add the numerator 14 so 14/20 and will have 6 pints left over so she will need to buy 8 pints
ANSWER
Paul and Matt will take
![9.9 \: \: hours](https://tex.z-dn.net/?f=9.9%20%5C%3A%20%5C%3A%20hours)
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
![= \frac{1}{18}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1%7D%7B18%7D%20)
Next, calculate Matt's rate, which is,
![= \frac{1}{22}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1%7D%7B22%7D%20)
Let us assume that, Paul and Matt took
![x \: hours](https://tex.z-dn.net/?f=x%20%5C%3A%20hours)
to do the work together.
Then, the rate of working together is,
![= \frac{1}{x}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
![\frac{1}{18} + \frac{1}{22} = \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B18%7D%20%2B%20%5Cfrac%7B1%7D%7B22%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
Simplify the left hand side
![\frac{11 + 9}{198} = \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%20%2B%209%7D%7B198%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
![\frac{20}{198} = \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B198%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
We reciprocate both sides to get (You could have also done cross multiplication).
![\frac{198}{20} = \frac{x}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B198%7D%7B20%7D%20%3D%20%5Cfrac%7Bx%7D%7B1%7D%20)
Answer:
3/5
Step-by-step explanation:
you need to subtract the two fractions then you can divide them by 2 to make them in their simplest form!
HOPE THIS HELPS!!!
In this case we are dealing with the pythagorean theorm involving right angled triangles. This theorm states that a^2 + b^2 = c^2 which means the square of the hypotenuse (side c, opposite the right angle) is equal to the square of the remaining two sides.
In this case we will say that a = 3963 miles which is the radius of the earth. c is equal to the radius of the earth plus the additional altitude of the space station which is 250 miles; therefore, c = 4213 miles. We must now solve for the value b which is equal to how far an astronaut can see to the horizon.
(3963)^2 + b^2 = (4213)^2
b^2 = 2,044,000
b = 1430 miles.
The astronaut can see 1430 miles to the horizon.