Hello there,
To write an improper fraction you will have to divide whole number by denominator than add the numerator...
7 * 1 = 7
7 + 4 = 11
The denominator stays the same...
11/7
Answer: 11/7
Hope I helped!!
-Char
Given that initial time for jogging is,
![a_{_1}=14](https://tex.z-dn.net/?f=a_%7B_1%7D%3D14)
After each week the time is increased by
![d=7](https://tex.z-dn.net/?f=d%3D7)
This gives an arithmetic sequence.
To find n such that,
![a_n=70](https://tex.z-dn.net/?f=a_n%3D70)
Therefore,
![\begin{gathered} a_n=a_1+(n-1)d \\ n=\frac{a_n-a_1}{d}+1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a_n%3Da_1%2B%28n-1%29d%20%5C%5C%20n%3D%5Cfrac%7Ba_n-a_1%7D%7Bd%7D%2B1%20%5Cend%7Bgathered%7D)
So,
![\begin{gathered} n=\frac{70-14}{7}+1 \\ =\frac{56}{7}+1 \\ =8+1 \\ =9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20n%3D%5Cfrac%7B70-14%7D%7B7%7D%2B1%20%5C%5C%20%3D%5Cfrac%7B56%7D%7B7%7D%2B1%20%5C%5C%20%3D8%2B1%20%5C%5C%20%3D9%20%5Cend%7Bgathered%7D)
Therefore, 9 weeks before you are up to jogging 70 minutes.
Answer:
the answer to this will be 32+4r if you simplify