Answer:
0, because the house is already painted. If this isn't a riddle then, it should take 4 days because that is half the people, two times the workload per person.
If there are multiple operations at the same level on the order of operations off from left to right and you work like this first noticed that there are no parentheses or exponents so we moved to multiplication and division with any sense of parentheses
Answer:
<em>The fraction of the beads that are red is</em>
Step-by-step explanation:
<u>Algebraic Expressions</u>
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
![\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Br%2By%2Bb%7D%20%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B1%5D)
Knowing that:
![\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7By%7D%3D%5Cfrac%7B2%7D%7B3%7D%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B2%5D)
![\displaystyle \frac{y}{b}=\frac{5}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7By%7D%7Bb%7D%3D%5Cfrac%7B5%7D%7B4%7D)
Multiplying the equations above:
![\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7By%7D%5Cfrac%7By%7D%7Bb%7D%3D%5Cfrac%7B2%7D%7B3%7D%5Cfrac%7B5%7D%7B4%7D)
Simplifying:
![\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Bb%7D%3D%5Cfrac%7B5%7D%7B6%7D%20%20%20%20%20%20%20%5Cqquad%5Cqquad%20%20%20%20%5B3%5D)
Dividing [1] by r:
![\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Br%2By%2Bb%7D%3D%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B1%2By%2Fr%2Bb%2Fr%7D)
Substituting from [2] and [3]:
![\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Br%2By%2Bb%7D%3D%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B1%2B3%2F2%2B6%2F5%7D)
Operating:
![\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Br%2By%2Bb%7D%3D%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B%5Cfrac%7B10%2B3%2A5%2B6%2A2%7D%7B10%7D%7D)
![\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Br%2By%2Bb%7D%3D%5Cdisplaystyle%20%5Cfrac%7B10%7D%7B10%2B15%2B12%7D)
![\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Br%7D%7Br%2By%2Bb%7D%3D%5Cdisplaystyle%20%5Cfrac%7B10%7D%7B37%7D)
The fraction of the beads that are red is ![\mathbf{\frac{10}{37}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B10%7D%7B37%7D%7D)
Answer:
Good question! The correct answer is a) increases and b) increases.
While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.