Answer:
![\frac{8}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B20%7D%3C%5Cfrac%7B12%7D%7B20%7D%3C%5Cfrac%7B15%7D%7B20%7D)
Step-by-step explanation:
We have been given that in the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is 2/5 yellow, Shawn's scarf is 3/5 , and Amanda's scarf is 3/4 yellow.
To make Amanda's argument true, let us compare each fraction by making a common denominator.
We can see that least common denominator of each fraction would be 20.
![\text{Dena's scarf}=\frac{2}{5}\Rightarrow\frac{2*4}{5*4}=\frac{8}{20}](https://tex.z-dn.net/?f=%5Ctext%7BDena%27s%20scarf%7D%3D%5Cfrac%7B2%7D%7B5%7D%5CRightarrow%5Cfrac%7B2%2A4%7D%7B5%2A4%7D%3D%5Cfrac%7B8%7D%7B20%7D)
![\text{Shawn's scarf}=\frac{3}{5}\Rightarrow\frac{3*4}{5*4}=\frac{12}{20}](https://tex.z-dn.net/?f=%5Ctext%7BShawn%27s%20scarf%7D%3D%5Cfrac%7B3%7D%7B5%7D%5CRightarrow%5Cfrac%7B3%2A4%7D%7B5%2A4%7D%3D%5Cfrac%7B12%7D%7B20%7D)
![\text{Amanda's scarf}=\frac{3}{4}\Rightarrow\frac{3*5}{4*5}=\frac{15}{20}](https://tex.z-dn.net/?f=%5Ctext%7BAmanda%27s%20scarf%7D%3D%5Cfrac%7B3%7D%7B4%7D%5CRightarrow%5Cfrac%7B3%2A5%7D%7B4%2A5%7D%3D%5Cfrac%7B15%7D%7B20%7D)
Since
, therefore, Amanda's scarf has the most yellow.
Answer:
E
Step-by-step explanation:
dy/dt = y² − 1
When -1 < y < 1, dy/dt is negative. So the solution is decreasing between y = -1 and y = 1.
Only one graph is consistently decreasing in that range, and that's the last graph.
Answer:
Yes, the student is correct
Step-by-step explanation:
Given
![(0,-10)](https://tex.z-dn.net/?f=%280%2C-10%29)
Required
Does it represent the x intercept
At the x intercept, the value of x is 0.
So, the function
becomes ![(0,y)](https://tex.z-dn.net/?f=%280%2Cy%29)
can be compared to ![(0,y)](https://tex.z-dn.net/?f=%280%2Cy%29)
Hence, the student is correct
It would b C because there are 6 sides and out of the 6, you want one number, which is 4, so that’s why it would be C