Write a system of equations to describe the situation below, solve using elimination, and Fill in the blanks. )) In order to burn calories and lose weight, Kendra is trying to incorporate more exercise into her busy schedule. She has several short exercise DVDs she can complete at home. Last week, she burned a total of 368 calories by doing 3 body sculpting workouts and 4 yoga sessions. This week, she has completed 3 body sculpting workouts and 5 yoga sessions and burned a total of 418 calories. How many calories does each workout burn? L calories and a yoga workout burns ))

A body sculpting workout burns calories and a yoga workout burns calories​

A body sculpting workout burns 56 calories and yoga workout burns 50 calories.

Step-by-step explanation:

Let body sculpting workout burns x calories and a yoga workout burns y calories.

For last week,

3x + 4y = 368 --(1)

This week,

3x + 5y = 418 --(2)

Solving equation (1) & (2)

3x + 4y = 368

3x + 5y = 418 ( - )

- y = -50

y = 50.

therefore, 3x = 368 - 4y

x = 368 - 4 × 50/3

x = 368 - 200/3

x = 168/3

x = 56.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.