Answer:
9 hours
Step-by-step explanation:
Let :
Landon hours = x
Ben hours = y
x + y = 14 - - (1)
60x + 56y = 820 - - - (2)
From (1)
y = 14 - x
60x + 56(14 - x) = 820
60x + 784 - 56x = 820
4x = 820 - 784
4x = 36
x = 36/4
x = 9
Landon drove for 9 hours
Use distributive property: a(b + c) = ab + ac.
2(w + 7) + 6(3w - 1) = (2)(w) + (2)(7) + (6)(3w) + (6)(-1)
= 2w + 14 + 18w - 6
<em>combine like terms</em>
= (2w + 18w) + (14 - 6) = 20w + 8
<h3>Answer: 2(w + 7) + 6(3w - 1) = 20w + 8</h3>
A) 3/8. You cut 3/4 in half by making the bottom number twice as big and get 3/8
Answer:
B) 24
Step-by-step explanation:
8x3=24
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)