Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.
8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.
1/3 * 8/8 = 8/24
3/8 * 3/3 = 9/24
There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.
Hope that helped.
Given :
Hight of the van from the ground, h = 3 feet.
The ramp into the van makes a 12° angle with the ground.
To Find :
How long is the ramp.
Solution :
Let, length of ramp is l .
So, height of ramp in terms of length is given by :

Hence, this is the required solution.
Answer:
A. The slope of Function A is greater than the slope of Function B.
Step-by-step explanation:
The slope of a function can be defined as rise/run. In Function A, the rise/run is 4. The slope in Function B is much easier to see: it is 2. Because 4 is greater than 2, Function A has a greater slope than Function B.
1995. 164 million
2001. 169 million
t = 2001 - 1995 = 6
169 =
![p^{6} = \frac{169}{164}= 1.0304878 \\ p = \sqrt[6]{1.0304878}](https://tex.z-dn.net/?f=%20p%5E%7B6%7D%20%3D%20%5Cfrac%7B169%7D%7B164%7D%3D%201.0304878%20%5C%5C%20%20p%20%3D%20%20%5Csqrt%5B6%5D%7B1.0304878%7D%20%20)
p = 1.00502
t 1 = 2015 - 2001 = 14
f ( t1 ) =

f (t1) = 169 * 1.0762 = 181.27
Answer: a country´s population in 2015 will be
181 million.
$125 is a "must budget" so it will be the constant in the inequality
The fountain is $30 per hour. If they spend x hours, then their budget for fountain will be
fountain = 30x
The inequality
Their budget is maximum $250, that means they are able to spend less than or equal to $250
constant + fountain ≤ 250
125 + 30x ≤ 250
<em>This is the inequality expression</em>