Answer:
![x=\frac{9}{8}\ yards](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9%7D%7B8%7D%5C%20yards)
![x=1.125\ yards](https://tex.z-dn.net/?f=x%3D1.125%5C%20yards)
Step-by-step explanation:
Let's call x the length of each piece in yards
If the ribbon is cut into 8 equal pieces then the sum of the pieces is:
![x+x+x+x+x+x+x+x=8x](https://tex.z-dn.net/?f=x%2Bx%2Bx%2Bx%2Bx%2Bx%2Bx%2Bx%3D8x)
Then:
![8x=9\ yards](https://tex.z-dn.net/?f=8x%3D9%5C%20yards)
Now we solve the equation for x
![8x=9\ yards](https://tex.z-dn.net/?f=8x%3D9%5C%20yards)
Divide both sides of equality by 8
![\frac{8}{8}x=\frac{9}{8}\ yards](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B8%7Dx%3D%5Cfrac%7B9%7D%7B8%7D%5C%20yards)
![x=\frac{9}{8}\ yards](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9%7D%7B8%7D%5C%20yards)
So the length of each piece is
of a yard.
This is: 1.125 yards
Answer:
162.9
Step-by-step explanation:
10 to the first power is 10 and 10 x 16.29=162.9
14 and the remainder is 3
Answer:
![3^{\frac{7}{10} }](https://tex.z-dn.net/?f=3%5E%7B%5Cfrac%7B7%7D%7B10%7D%20%7D)
Step-by-step explanation:
= 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10
Jelly beans - $0.98 per pound
chocolate drops - $0.67 per pounds
Terri's bag = 2.1 pounds and $1.56
p = represents the pounds jelly beans.
c = represents the pounds in chocolate drops
p + c = 2.1
0.98p + 0.67c = 1.56
c = 2.1 - p ; number of pounds of chocolate drops
0.98p + 0.67(2.1 - p) = 1.56
0.98p + 1.41 - 0.67p = 1.56
0.98p - 0.67p = 1.56 - 1.41
0.31p = 0.15
p = 0.15/0.31
p = 0.48 pounds of jelly beans
c = 2.1 - 0.48
c = 1.62 pounds of chocolate drops.