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.
Answer:
0.707
Step-by-step explanation:
cos in the 4th quadrant is positive as well as in 1st quadrant.
cos(-45°) is in the 4th quadrant.
So cos40° must equal cos(-45°) which is 0.707.
Answer:
y=3x - 1
Step-by-step explanation:
slope = 3
It intercepts at -1
y=3x - 1
Answer:
The answer is -16.
Step-by-step explanation:
When you subtract 10 from -6, it need to be 10 lower than the original number. 10 less that -6 is -16