22. the second one: 4/15x
Answer:
Step-by-step explanation:
150 students/3 classes= 50 students per class
Okay I hope this is what you mean. so if you are saying what is between the numbers 3 and 8 we can make an inequality which will cover all the small decimals between the numbers.
There are 2 different equalities that I'm not sure which one you want.
so the first one would be
![3 \leqslant x \leqslant 8](https://tex.z-dn.net/?f=3%20%5Cleqslant%20x%20%5Cleqslant%208)
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.
If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
![3 < x < 8](https://tex.z-dn.net/?f=3%20%3C%20x%20%3C%208)
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.
If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.
if you use a calculator the answer is 0.00559493
Answer:
The linear speed is ![1,130.4\frac{ft}{min}](https://tex.z-dn.net/?f=1%2C130.4%5Cfrac%7Bft%7D%7Bmin%7D)
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
we have
![r=18\ ft](https://tex.z-dn.net/?f=r%3D18%5C%20ft)
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![C=2(3.14)(18)](https://tex.z-dn.net/?f=C%3D2%283.14%29%2818%29)
![C=113.04\ ft](https://tex.z-dn.net/?f=C%3D113.04%5C%20ft)
step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to
![(10)113.04=1,130.4\ ft](https://tex.z-dn.net/?f=%2810%29113.04%3D1%2C130.4%5C%20ft)
therefore
The linear speed is ![1,130.4\frac{ft}{min}](https://tex.z-dn.net/?f=1%2C130.4%5Cfrac%7Bft%7D%7Bmin%7D)