Answer:
You take the info and answer the questions with guidance from the tables
Step-by-step explanation:
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:
12+8.2n, this is the answer
Answer: Company A would be a better deal for number of minutes over 200
Step-by-step explanation:
Let x represent the number of minutes that you would use with either company A or company B.
Company A has a monthly charge of $10 plus 5¢ a minute for each minute of long distance calls. It means that the cost of x minutes of long distance call is
10 + 0.05x
Company B has a monthly charge of $8 plus 6¢ a minute for long distance calls. It means that the cost of x minutes of long distance call is 10 + 0.05x
8 + 0.06x
For Company A to be a better deal, it means that
10 + 0.05x < 8 + 0.06x
10 - 8 < 0.06x - 0.05x
2 < 0.01x
0.01x > 2
x > 2/0.01
x > 200
Answer:

Step-by-step explanation:
As 2 and 7 are the only prime divisors of both
and
we know that both can be written as:

Where
is the set of all natural numbers adding the zero (careful because this part is important as I'll explain next).
We also know that 14 divides both numbers and that is actually the greatest common divisor between them. So we can rewrite a and b as follows:

Why do I write them like this? Because this way is easier to observe that if
and
were both greater than zero, then 28 would divide both hence 14 wouldn't be their g.c.d.. Likewise, if
and
were both greater than zero, then 98 would divide both and once again, 14 wouldn't be their g.c.d.
So either of them has to be equal to zero. And then we have that

All we have left to do is find the possible values for
and
so that
and that only happens if
and 