Abril earned a total of $60 mowing lawns around her neighborhood. she charges $8 an hour and received $20 in tips .use the equation 8h+20=60 to determine h, the number of hours she spent mowing lawns

She spent 5 hours mowing lawns.

Step-by-step explanation:

To solve, we will just use some algebra

8h + 20 = 60 | Subtract 20 from both sides

8h = 40 | Divide both sides by 8

h = 5

We can confirm this by plugging it back into the original formula.

8(5) + 20 = 60

40 + 20 = 60

60 = 60

a - base

b - exponent

so,

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