Well, he only needs 5 gallons of beverages. Because he buys two containers of each, however, that means he bought 320 gallons total (I would say). How I got my answer:
There are 8 pints in a gallon (8 x 2)
There are 4 quarts in a gallon (4 x 2)
There are 16 cups in a gallon (16 x 2)
There are 128 ounces in a gallon (128 x 2)
With that being said, we can add these to find the total amount of gallons of beverages Julius bought. 16 + 8 + 8 + 32 + 256 = 320.
Hopefully this helps!
<u>Answer:</u>
or ![f(7)=-1.67](https://tex.z-dn.net/?f=f%287%29%3D-1.67)
<u>Step-by-step explanation:</u>
We are given the following function of x and we are to find the value of
:
![f ( x ) = \frac { 3 } { x + 2 } - \sqrt { x - 3 }](https://tex.z-dn.net/?f=%20f%20%28%20x%20%29%20%3D%20%5Cfrac%20%7B%203%20%7D%20%7B%20x%20%2B%202%20%7D%20-%20%5Csqrt%20%7B%20x%20-%203%20%7D%20)
Substituting the given value (7) in the above function to get:
![f(x)=\frac{3}{x+2}-\sqrt{x-3}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3%7D%7Bx%2B2%7D-%5Csqrt%7Bx-3%7D)
![f ( 7 )= \ frac{3}{7+2}-\sqrt{7-3}](https://tex.z-dn.net/?f=%20f%20%28%207%20%29%3D%20%5C%20frac%7B3%7D%7B7%2B2%7D-%5Csqrt%7B7-3%7D)
![f(7) = \frac { 3 } { 9 } - \sqrt { 4 }](https://tex.z-dn.net/?f=%20f%287%29%20%3D%20%5Cfrac%20%7B%203%20%7D%20%7B%209%20%7D%20-%20%5Csqrt%20%7B%204%20%7D%20)
![f(7)=\frac{1}{3}-2](https://tex.z-dn.net/?f=f%287%29%3D%5Cfrac%7B1%7D%7B3%7D-2)
![f(7)=\frac{1}{3}-\frac{6}{3}](https://tex.z-dn.net/?f=f%287%29%3D%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B6%7D%7B3%7D)
or ![f(7)=-1.67](https://tex.z-dn.net/?f=f%287%29%3D-1.67)
Answer:
450 per month
Step-by-step explanation:
5000-1400=3600
3600/8=450
Since Peter already has 1400 dollars saved you can subtract that form the total amount and since he is trying to get the rest in eight months you just divide the difference by eight.
Beats me man not enough information
let point A has coordinates (-9;12),B(-3;12),C(-5;10) and D(-11;10).Then the vector AB={6;0}, BC={2;-2}, CD={6;0}, AD={2;-2} and their and the length of the vectors
![|AB| = |CD| = \sqrt{ {6}^{2} + {0}^{2} } = \sqrt{36} = 6 \\ |BC| = |AD| = \sqrt{ {2}^{2} + {( - 2)}^{2} } = \sqrt{8}](https://tex.z-dn.net/?f=%20%7CAB%7C%20%3D%20%7CCD%7C%20%3D%20%5Csqrt%7B%20%7B6%7D%5E%7B2%7D%20%2B%20%7B0%7D%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B36%7D%20%3D%206%20%5C%5C%20%7CBC%7C%20%3D%20%7CAD%7C%20%3D%20%5Csqrt%7B%20%7B2%7D%5E%7B2%7D%20%2B%20%7B%28%20-%202%29%7D%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B8%7D%20)
![p = 6 + 6 + \sqrt{8} + \sqrt{8} = \\ = 12 + 2 \sqrt{8} = 17.66\approx18](https://tex.z-dn.net/?f=p%20%3D%206%20%2B%206%20%2B%20%5Csqrt%7B8%7D%20%2B%20%5Csqrt%7B8%7D%20%3D%20%5C%5C%20%3D%2012%20%2B%202%20%5Csqrt%7B8%7D%20%3D%2017.66%5Capprox18)