You have 45 pencils. five out of every 9 are yellow pencils and the rest are brown. how many pencils are yellow? show your

Five out of every nine pencils are yellow. You can make a fraction for this:

You have 45 pencils. To find the amount of yellow pencils, multiply the fraction by 45. First set up the equation:

Make 45 as a fraction so that you'll be multiplying fractions together. It will also make it easier.

To write a whole number as a fraction, ALWAYS make the whole number the denominator and 1 as the numerator.

Here is the "new equation":

Multiply. You multiply the numerators and denominators together.

That means 25 pencils are yellow

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