On monday lance ran 30 min and swam 20 min. his fitness app told him he burned 610 calories. on wednesday the fitness app told him he burned 695 calories when he ran 25 min and swam 40 min. how many calories he burned for one min?

Iance burned 15 calories per minute running and 8 calories per minute swimming

Step-by-step explanation:

Let

x = number of calories burned per minute running

y = number of calories burned per minute swimming

On Monday

ran 30 min - burned 30x calories

swam 20 min - burned 20y calories

In total,   calories.

On Wednesday

ran 25 min - burned 25x calories

swam 40 min - burned 40y calories

In total,

You get the system of two equations:

Multiply the first equation by 4 and subtract the second equation from the first:

Substitute it into the first equation:

Iance burned 15 calories per minute running and 8 calories per minute swimming

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

honesty mood

step-by-step explanation: