Answer: All real numbers less than or equal to 3.
Explanation: I took a test with this question and got it right.
3/7 is in simplest form, because they are both prime numbers and have no factors.
Answer:
1) 
2) 
3) 
4) 
Step-by-step explanation:
1) 
Solving using exponent rule: 

So, 
2) 
Using the exponent rule: 
We have:

We also know that: 
Using this rule:

So, 
3) 
Solving:

So, 
4) 
We know that: 

So, 
I'm not sure if this is the easiest way of doing this, but it surely work.
Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

Moreover, let CH=y and BC=z
Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

If we solve the first two equations for y squared, we have

And we can deduce

So that the third equation becomes

(we can't accept the negative root because negative lengths make no sense)
Answer:
Fixed rate is $60.
Step-by-step explanation:
Let us consider per student charge be 'x'.
Let us consider fixed rate be 'b'
Given:
I rent a gym for $150 for 30 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;

Also Given:
another time I rent the gym for $270 for 70 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;

Now we will subtract equation 1 from equation 2 we get;

Dividing both side by 40 we get;

Now we will substitute the value of x in equation 1 we get;

So we can say that the equation can be written as;

Hence we can say that fixed rate is $60 and per student charge is $3.