Rosanne makes 1.5 liters of strawberry lemonade. She pours .25of a liter of lemonade into a thermos to take to the park. Her brother drinks .40 of the remaining lemonade. How much lemonade does Rosanne's brother drink?

He drank 0.5 liters

Step-by-step explanation:

1.5 - 0.25 = 1.25 liters

1.25 x 40% = 0.5

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

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