a man drives for awhile at 45 mph. Realizing he is late ,he increases his speed to 60 mph and completes his 405 mile trip in 8 h
1 answer:
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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:
Part 3) Miguel scored 29 points and Alonzo scored 25 points
Part 4) Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years
Step-by-step explanation:
Part 3) Let
x ----> the number of points that Miguel scored
y ---> the number of points that Alonzo scored
we know that
----> equation A
----> equation B
substitute equation B in equation A and solve for y
Find the value of x
the solution is the point (29,25)
That means ----> Miguel scored 29 points and Alonzo scored 25 points
Part 4) Let
x ----> Morgan's age
y ---> Mr Santos' age
we know that
-----> equation A
----> equation B
substitute equation B in equation A and solve for y
Find the value of x
the solution is the point (14.5,29.5)
That means ----> Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years