Dwayne wants to attend more group exercise classes at his gym. This week, he plans to attend 4 cardio classes and 5 weightlifting classes, which will last a total of 377 minutes. Next week, he hopes to attend 4 cardio classes and 3 weightlifting classes, which will last a total of 303 minutes. Given that all cardio classes and all weightlifting classes are the same length, how long is each class?

37 minutes long

Step-by-step explanation:

let y = the amount of weightlifting classes

5 - 3 = 2

2 weightlifting classes = 377 - 303

2y = 74

y = 37

each weightlifting class is 37

so each class is 37 minutes long

well the answer to that is xoxoxo

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places