Answer: (d)
Step-by-step explanation:
Given
It takes 14 hours with 40 mph to reach the theatre
so, the distance traveled is given by
![\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}](https://tex.z-dn.net/?f=%5CRightarrow%20d_1%3D40%5Ctimes%2014%5C%5C%5CRightarrow%20d_1%3D560%5C%20%5Ctext%7Bmiles%7D)
It is given that d is the distance from theatre to friend's house
So, d must be less than
i.e.
![d](https://tex.z-dn.net/?f=d%3Cd_1)
So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.
Answer:
2765
Step-by-step explanation:
5x500=2500
5x50=250
5x3=15
2500+250+15=2765
Answer:
![4\frac{23}{24}](https://tex.z-dn.net/?f=4%5Cfrac%7B23%7D%7B24%7D)
Step-by-step explanation:
We want to simplify:
![2\frac{1}{3}(4\frac{1}{4}\div 2)](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B3%7D%284%5Cfrac%7B1%7D%7B4%7D%5Cdiv%202%29)
We convert to improper fraction to get:
![\frac{7}{3}(\frac{17}{4}\div 2)](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%28%5Cfrac%7B17%7D%7B4%7D%5Cdiv%202%29)
We now deal with the parenthesis by multiplying with the reciprocal of 2.
![\frac{7}{3}(\frac{17}{4}\times \frac{1}{2} )](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%28%5Cfrac%7B17%7D%7B4%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%29)
This gives:
![\frac{7}{3}(\frac{17}{8})](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%28%5Cfrac%7B17%7D%7B8%7D%29)
We multiply to get:
![\frac{7}{3}(\frac{17}{8})](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%28%5Cfrac%7B17%7D%7B8%7D%29)
This simplfies to:
![\frac{119}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B119%7D%7B24%7D)
We write as mixed number
![4\frac{23}{24}](https://tex.z-dn.net/?f=4%5Cfrac%7B23%7D%7B24%7D)