Answer:
5.5 cm
Step-by-step explanation:
We are given that
Total number of chain links=1000
Length of chain=0.055 km
We have to find the length of a single chain link in cm.
Length of chain=
m
1 km=1000 m
Length of chain=![55\time 100=5500 cm](https://tex.z-dn.net/?f=55%5Ctime%20100%3D5500%20cm)
1 m=100 cm
Length of single chain link=![\frac{5500}{1000} cm](https://tex.z-dn.net/?f=%5Cfrac%7B5500%7D%7B1000%7D%20cm)
Length of single chain link=5.5 cm
Hence, the length of single chain link=5.5 cm
I'm slightly confused. Is it saying 500$ is part of her expense or the cap of which she doesn't want to go over?
I'm under the impression 3,722$ is her cap in she makes 3,722/month. If that is true she is well over and the payments are working.
Answer:
x=2
Step-by-step explanation:
plz mark as brainliest
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:
![\frac{3}{8}-\frac{3}{16}\Rightarrow \frac{6}{16}-\frac{3}{16}=\frac{3}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B3%7D%7B16%7D%5CRightarrow%20%5Cfrac%7B6%7D%7B16%7D-%5Cfrac%7B3%7D%7B16%7D%3D%5Cfrac%7B3%7D%7B16%7D)
Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.
![1](https://tex.z-dn.net/?f=1%3C%5Cfrac%7B3%7D%7B16%7D%2B%28n-1%29%5Ccdot%20%5Cfrac%7B3%7D%7B16%7D)
Let us solve for n.
![1](https://tex.z-dn.net/?f=1%3C%5Cfrac%7B3%7D%7B16%7D%2B%5Cfrac%7B3%7D%7B16%7Dn-%5Cfrac%7B3%7D%7B16%7D)
![1](https://tex.z-dn.net/?f=1%3C%5Cfrac%7B3%7D%7B16%7Dn)
![1\cdot \frac{16}{3}](https://tex.z-dn.net/?f=1%5Ccdot%20%5Cfrac%7B16%7D%7B3%7D%3C%5Cfrac%7B16%7D%7B3%7D%5Ccdot%20%5Cfrac%7B3%7D%7B16%7Dn)
![5.333](https://tex.z-dn.net/?f=5.333%3Cn)
![n>5.333](https://tex.z-dn.net/?f=n%3E5.333)
We can also write next terms of our sequence as:
![\frac{3}{16},\frac{6}{16}, \frac{9}{16},\frac{12}{16},\frac{15}{16},\frac{18}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B16%7D%2C%5Cfrac%7B6%7D%7B16%7D%2C%20%5Cfrac%7B9%7D%7B16%7D%2C%5Cfrac%7B12%7D%7B16%7D%2C%5Cfrac%7B15%7D%7B16%7D%2C%5Cfrac%7B18%7D%7B16%7D)
Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
Answer: The answer is 12 ways.
Step-by-step explanation: Given that For members of Abe's family are travelling to Canada for vacations. They have four seats in the centre section of the plane. Also, Abe wants to sit next to his brother Ben. We need to find the number of ways in which they can sit.
Since Abe will sit next to his brother Ben, so we can count both of them as one. Hence, taking them as one member, three members can sit in 3! ways.
Also, Abe and Ben among themselves can sit in 2! ways.
Therefore, the total number of ways in which they can sit
= 3! × 2!
=3 × 2 × 1 × 2 × 1
=12.
Thus, the number of ways is 12.