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5x+20+16
the expression is 5x+36
Answer:
![12\frac{1}{2}\ bows](https://tex.z-dn.net/?f=12%5Cfrac%7B1%7D%7B2%7D%5C%20bows)
Step-by-step explanation:
we know that
It’s takes 3/5 yard of ribbon to make a bow
using proportion
Find out how many bows could you make with 7 1/2 yards of ribbon
Remember that
![7\frac{1}{2}\ yd=\frac{7*2+1}{2}=\frac{15}{2}\ yd](https://tex.z-dn.net/?f=7%5Cfrac%7B1%7D%7B2%7D%5C%20yd%3D%5Cfrac%7B7%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B15%7D%7B2%7D%5C%20yd)
so
![\frac{(3/5)}{1}\ \frac{yd}{bow}=\frac{(15/2)}{x}\ \frac{yd}{bows}\\\\x=\frac{(15/2)}{(3/5)}\\\\x=\frac{75}{6}\ bows\\\\x=12.5\ bows](https://tex.z-dn.net/?f=%5Cfrac%7B%283%2F5%29%7D%7B1%7D%5C%20%5Cfrac%7Byd%7D%7Bbow%7D%3D%5Cfrac%7B%2815%2F2%29%7D%7Bx%7D%5C%20%5Cfrac%7Byd%7D%7Bbows%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B%2815%2F2%29%7D%7B%283%2F5%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B75%7D%7B6%7D%5C%20bows%5C%5C%5C%5Cx%3D12.5%5C%20bows)
Convert to mixed number
![12.5\ bows=12\frac{1}{2}\ bows](https://tex.z-dn.net/?f=12.5%5C%20bows%3D12%5Cfrac%7B1%7D%7B2%7D%5C%20bows)
Given polynomials:
21x³ and 28x^5
Factorise each term:
21x³ = 3 x 7 x x³
28x^5= 4 x 7 x x² x x³
So, greatest common factor = 7 x x³ =7x³
Answer: 7x³