Answer:
Y=40
Explanation:
Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8 y must equal 40.
6:30 = 8:40
or
30/6= 5
Y/8= 5
Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.
Answer:
2975.978
Step-by-step explanation:
This is pretty easy, just keep the order going on.
Here is the CORRECT order:
2 Thousand(s)
9 Hundred(s)
7 Ten(s)
5 One(s)
decimal part because there is <em>th</em> after each type of number (ex. thousand<em>th)</em>
9 Tenth(s)
7 Hundredth(s)
8 Thousandth(s)
Answer:
1/20 or 0.05
Step-by-step explanation:
Assuming that all five posters are different, the number of ways to randomly place those posters is given by:
If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:
Therefore, the probability is:
The probability is 1/20 or 0.05.
Answer:
OPTION C
Step-by-step explanation:
We have the following rules:
![$ \sqrt[a]{x} = x^{\frac{1}{a} $](https://tex.z-dn.net/?f=%24%20%5Csqrt%5Ba%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Ba%7D%20%24)
and
OPTION A: ![$ x \sqrt[7]{x} $](https://tex.z-dn.net/?f=%24%20x%20%5Csqrt%5B7%5D%7Bx%7D%20%24)
= 
= 
So, it can be eliminated.
OPTION B: ![$ \bigg ( \frac{1}{\sqrt[7]{x}} \bigg )^9 $](https://tex.z-dn.net/?f=%24%20%5Cbigg%20%28%20%5Cfrac%7B1%7D%7B%5Csqrt%5B7%5D%7Bx%7D%7D%20%5Cbigg%20%29%5E9%20%24)
= 
= 
= 
So, this option is also eliminated.
OPTION C: ![$ x . \sqrt[7]{x} $](https://tex.z-dn.net/?f=%24%20x%20.%20%5Csqrt%5B7%5D%7Bx%7D%20%24)
= 
= 
= 
So, OPTION C is the answer.
Answer: y = -x/3 + 5
Step-by-step explanation:
What we know:
- Our points are (-3, 6) and (0, 5)
First, we need to find the slope. The formula for finding slope is y2 - y1/x2 - x1.
Now, we need to plug in our values.
5 - 6/0 - (-3)
Solve.
-1/3
Our slope is -1/3.
But now we need to find the y-intercept. To do this, we will use the equation y = mx + b.
You can use either coordinate pair, but I will be using (-3, 6) first.
Plug in the values.
6 = -1/3(-3) + b
Simplify.
6 = 1 + b
Subtract 1 to both sides.
6 - 1 = 1 - 1 + b
5 = b
The y-intercept is 5. Now we can put everything together!
y = -1/3x + 5
y = -x/3 + 5
For the coordinate (0, 5), you do the same thing.
5 = -1/3(0) + b
5 = 0 + b
5 = b
y = -1/3x + 5
y = -x/3 + 5
