4p+25=6p-18-12+9p Distribute
4p+25=15p-30 Combine like terms
25=11p-30 Subtract 30 from both sides
11p=55 Divide
p=5
Next term will be 100
as series is 18²,16²,14²,12² so next will be 10²
hope it helps
Answer:
She need 10.5 inches border
Step-by-step explanation:
Length of box =![\frac{1}{2} inches](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20inches)
Breadth of box =![4\frac{3}{4} inches](https://tex.z-dn.net/?f=4%5Cfrac%7B3%7D%7B4%7D%20inches)
Breadth of box =![\frac{19}{4} inches](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B4%7D%20inches)
Height of box = 7 inches
Now we are given that Soledad wants to run a border around the top of the box.
So, Length of top = Perimeter = ![2(l+b)=2(\frac{1}{2}+\frac{19}{4})=10.5](https://tex.z-dn.net/?f=2%28l%2Bb%29%3D2%28%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B19%7D%7B4%7D%29%3D10.5)
Hence She need 10.5 inches border