At the gym, mandi ran 2 miles on the treadmill and then hiked 5 miles burning a total of 370 calories. if mandi burns 17 more calories running than she does biking, how many calories does she burn each mile that she bikes

Mandi burns 35.3  calorie/mile by hiking.

Step-by-step explanation:

Let, Mandi burns calories by running at the rate of x calorie/mile

and, she burns calories by hiking at the rate of y calorie/mile.

Then, according to the question,

2x + 5y = 370 ------------(1)

and 2x - 5y = 17 ---------(2)

So, adding (1) and (2) we get,

4x = 387

⇒ x = 387/4 = 96. 75 -------------(3)

Putting the value of x in (1) we get,

5y =

⇒ 5y = 370 - 193.5 = 176.5

⇒ y = 176.5/5 = 35.3 ---------(4)

So, Mandi burns 35.3  calorie/mile by hiking.

a

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w