You have 48 minutes to exercise at the gym. The elliptical trainer burns 9 calories per minute, while the treadmill burns 8 calories per minute. You want to burn 400 calories total using both machines. How much time should you spend on each machine

16 minutes on the elliptical trainer and 32 minutes on the treadmill.  

Step-by-step explanation:

We have the following relation for the training in both machines:

   (1)

Where:

t₁: is the time spent on the elliptical trainer

t₂: is the time spent on the treadmill    

With:

   (2)  

From equation (2) we have:

   (3)

By entering equation (3) into (1):

Now, we can find t₁:

Therefore, you should spend 16 minutes on the elliptical trainer and 32 minutes on the treadmill.

I hope it helps you!

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

step-by-step explanation: i dont