Answer:
100
Step-by-step explanation:
let the unknown number be y
y= 8850/88.5
y=100
Because the average is 7.7, his total points are equal to 7.7*10=77.
Because 7*10<77<8*10, Luke cannot have scored 8 10s. We now seek to prove that he can score 7 tens.
This leaves him with three tests left, that sum to 7 marks. There are clearly many ways to arrange this - for example, 2, 3, and 3 on the first three tests, then ten on all seven other tests. As this shows that 7 10s works and we have proven that 8 10s does not work, 7 is the maximum amount of 10s Luke could have scored.
Answer:
The distance between Eddie's home and the school is 3000 m
Step-by-step explanation:
Consider the provided information.
His sister started walking at 8.00 am at an average speed of 50 m/min. Eddie started walking at 8.05 am at a speed of 60 m/min. Eddie caught up with his sister at mid-point between the school and his home.
Let the distance between school and home is x.
Let t is the time taken by Eddie sister to reach at mid-point between school and home.
Eddie caught up with his sister at mid-point between the school and his home.
That means his sister covers x/2 distance.
Speed of Eddie sister is 50 m/min.
.....(1)
Eddie started walking at 8.05 am at a speed of 60 m/min.
![t-5=\frac{\frac{x}{2}}{60}](https://tex.z-dn.net/?f=t-5%3D%5Cfrac%7B%5Cfrac%7Bx%7D%7B2%7D%7D%7B60%7D)
.....(1)
Equate both the equation as shown:
![\frac{\frac{x}{2}}{50}=\frac{\frac{x}{2}}{60}+5](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bx%7D%7B2%7D%7D%7B50%7D%3D%5Cfrac%7B%5Cfrac%7Bx%7D%7B2%7D%7D%7B60%7D%2B5)
![\frac{x}{100}=\frac{x}{120}+5](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B100%7D%3D%5Cfrac%7Bx%7D%7B120%7D%2B5)
![\frac{x}{100}-\frac{x}{120}=5](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B100%7D-%5Cfrac%7Bx%7D%7B120%7D%3D5)
![\frac{12x-10x}{1200}=5](https://tex.z-dn.net/?f=%5Cfrac%7B12x-10x%7D%7B1200%7D%3D5)
![2x=6000](https://tex.z-dn.net/?f=2x%3D6000)
![x=3000](https://tex.z-dn.net/?f=x%3D3000)
Hence, the distance between Eddie's home and the school is 3000 m
Answer
Mimi made a total of 16 kilometers
Step-by-step explanation:
Answer:
3pi/13 is irrational because any irrational number divided by anything will always end up irrational.