Lisa is choosing between two exercise routines. in routine #1, she does only running, burning 8.5 calories per minute. in routine #2, she burns 28 calories walking. she then runs at a rate that burns 2.9 calories per minute. for what amounts of time spent running will routine #1 burn at most as many calories as routine #2? use t for the number of minutes spent running, and solve your inequaliy for t

For at most 5 minutes spent on running burning calories in Routine #1 will be at most to Routine #2.

Step-by-step explanation:

Given:

Let the number of minutes spent on running be 't'.

For Routine #1:

Calories burn each minute on running = 8.5

Total calories burn will be equal to Calories burn each minute on running multiplied by the number of minutes spent on running.

framing in equation form we get;

Total calories burn in Routine #1 =

For Routine #2:

Calories burn in walking = 28 calories

Calories burn each minute on running = 2.9

Total calories burn will be equal to sum of Calories burn in walking and Calories burn each minute on running multiplied by the number of minutes spent on running.

framing in equation form we get;

Total calories burn in Routine #2 =

We need to find amounts of time spent running will Routine #1 burn at most as many calories as Routine #2.

So we can say that;

Total calories burn in Routine #1 Total calories burn in Routine #2

Combining like terms we get;

Dividing both side by 5.6 we get;

Hence For at most 5 minutes spent on running burning calories in Routine #1 will be at most to Routine #2.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

sure i'm up for it

step-by-step explanation: