:

a problem states: "there are 9 more pencils than pens in a container. there are 25 writing utensils in the container in all. how many pens are there in the container? "

let p represent the number of pens.

which equation represents the situation?

2p + 9 = 25

p + 9 = 25

2(p+9)=25

2p−9=25

b i think

step-by-step explanation:

not really sure

d

step-by-step explanation:

i used the pitagoras theoreme

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