An athlete goes to the gym and runs on the treadmill, burning 300 calories. The athlete then lifts weights for x amount of hours, burning 50 calories per hour. Which equation represents the total (T) calories the athlete will burn

T = 300 + 50x

Step-by-step explanation:

Tread mill calories burned = 300 calories

Weight lifting hours = x

Calories burned per hour during weight lifting = 50

Total calories burned :

Teadmill calories + weight lifting hours * calories burned per hour

T = 300 + 50x

y + 11 = (1/4)(x + 16)

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4