Answer:
Here, the given problem,
The total number of hours = ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
Now, the number of hours to make each invitation card = ![\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
Hence, the total number of invitations = ![\text{Total hours}\div \text{Hours needed for an invitation }](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20hours%7D%5Cdiv%20%5Ctext%7BHours%20needed%20for%20an%20invitation%20%7D)
![=\frac{3}{4}\div \frac{1}{12}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%7D%7B4%7D%5Cdiv%20%5Cfrac%7B1%7D%7B12%7D)
a. Scale the number line from 0 to 1,
In which each unit represents ![\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
By the number line,
![\frac{9}{12}\div \frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B12%7D%5Cdiv%20%5Cfrac%7B1%7D%7B12%7D)
![=9](https://tex.z-dn.net/?f=%3D9)
b. By model,
Take a grid which shows 1 hour and each box of the grid represents 1/12th hour,
By the grid,
![\frac{3}{4}\text{ part of grid}=\frac{9}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5Ctext%7B%20part%20of%20grid%7D%3D%5Cfrac%7B9%7D%7B12%7D)
![=\frac{3}{4}\div \frac{1}{12}=9](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%7D%7B4%7D%5Cdiv%20%5Cfrac%7B1%7D%7B12%7D%3D9)
That is, the number of hours to make invitation = 9
c. ![\frac{3}{4}\div \frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5Cdiv%20%5Cfrac%7B1%7D%7B12%7D)
![\frac{3}{4}\times 12=3\times 3=9](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5Ctimes%2012%3D3%5Ctimes%203%3D9)
Answer:
It helps families who or who do not have the resources and helps them with money issues
Step-by-step explanation:
hope it helps
Answer:
![\boxed{y=4x^3-x^2-50x+25}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D4x%5E3-x%5E2-50x%2B25%7D)
Step-by-step explanation:
The given function is
![y=(x-5)(x+5)(2x-1)](https://tex.z-dn.net/?f=y%3D%28x-5%29%28x%2B5%29%282x-1%29)
Observe that, the first two factors are from difference of two squares.
![\Rightarrow y=(x^2-5^2)(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-5%5E2%29%282x-1%29)
![\Rightarrow y=(x^2-25)(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%28x%5E2-25%29%282x-1%29)
We expand the brackets using the distributive property to obtain;
![\Rightarrow y=2x^2(2x-1)-25(2x-1)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D2x%5E2%282x-1%29-25%282x-1%29)
![\Rightarrow y=4x^3-x^2-50x+25](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D4x%5E3-x%5E2-50x%2B25)
The above function is now in standard form, since the terms are arranged in descending powers of
.
Answer:
Just getting points i hope u find the answer tho :))
Step-by-step explanation:
Answer:
x = 113 degrees
Step-by-step explanation:
Both angles are alternate exterior angles so they have the same measurement.