You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both machines. if one machiene burns 8 calories a minute and the other burns 6 calories a minute, how much time should you spend on each machine? keep in mind that you have to spend an even amount of minutes at each mechiene.

m represents the number of minutes :) ( idk if its right )

Step-by-step explanation:

8m + 6(40-m)=300

8m + 240 - 6= 300

99

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is