Answer:
11/24
Step-by-step explanation:
change it to :
20/24-9/24
then solve
Answer:
The number of questions in sixth assignment must be less than or equal to 28.
Step-by-step explanation:
The number of questions in first five assignments are 11,10,13,14 and 14.
It is given that Mrs hawk assigns her students an average of no more than 15 questions on each assignment. Therefore the average of six assignments is less than or equal to 15 questions.
Let the number of questions in sixth assignment be x
![\text{Average}=\frac{\text{Sum of observations}}{\text{Number of observations}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%7D%3D%5Cfrac%7B%5Ctext%7BSum%20of%20observations%7D%7D%7B%5Ctext%7BNumber%20of%20observations%7D%7D)
Average of six assignments are
![A=\frac{11+10+13+14+14+x}{6}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B11%2B10%2B13%2B14%2B14%2Bx%7D%7B6%7D)
![A=\frac{62+x}{6}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B62%2Bx%7D%7B6%7D)
Since the average of questions is no more than 15, therefore
![A\leq 15](https://tex.z-dn.net/?f=A%5Cleq%2015)
![\frac{62+x}{6}\leq 15](https://tex.z-dn.net/?f=%5Cfrac%7B62%2Bx%7D%7B6%7D%5Cleq%2015)
![62+x\leq 90](https://tex.z-dn.net/?f=62%2Bx%5Cleq%2090)
![x\leq 28](https://tex.z-dn.net/?f=x%5Cleq%2028)
Therefore the number of questions in sixth assignment must be less than or equal to 28.
Answer:
-19/2 or
-9 1/2
Step-by-step explanation:
-1/2 ÷ 1/19
Copy dot flip
-1/2 * 19/1
-19/2
-9 1/2
Y = x + 3 is the answer
the y-intercept is 3, so the answer should have a "+ 3" in it
when you are trying to determine the gradient (the x), you can use two methods
first method:
picture/sketch the line. If the line is going upwards (from left to right), it's positive. If the line is going downwards (from left to right), it's negative. However, this method only works for this question, you should try using the second method more
second method:
use the formula: (y - y) / (x - x)
So, you use the y from one of the brackets and subtract the y from the other bracket. Then, you put it over the x ,from the same bracket as the first y, and subtract the x from the second bracket. If you are confused, look at the picture. (Sorry for the messy explanation)