The penny size of a nail indicates the length of the nail. The penny size d
is given by the literal equation d=4n−2
, where n
is the length (in inches) of the nail.

a. Solve the equation for n

n=


b. Use the equation from part (a) to find the lengths of nails with the following penny sizes: 3, 6, and 10.
A 3-penny nail is__inches.

A 6-penny nail is__inches.

A 10-penny nail is__inches.

Respuesta :

By working with the given linear equation we will see that:

a) n = (d + 2)/4

b)

  • A 3-penny nail is_5/4_inches.
  • A 6-penny nail is_2_inches.
  • A 10-penny nail is_3_inches.

How to solve the equation for n?

Here we have the linear equation:

d = 4n - 2

We want to solve it for n, it means that we need to isolate n in one side of the equation.

If we first add 2 in both sides of the equation, and then we divide both sides by 4, we will get:

d + 2 = 4n

(d + 2)/4 = n

That is the equation solved for n.

b) The penny size is d, and n is the length of the nail, then:

if d = 3, we have:

n = (3 + 2)/4 = 5/4

if d = 6, then:

n = (6 + 2)/4 = 2

if d = 10, then:

n = (10 + 2)/4 = 3

Thus:

  • A 3-penny nail is_5/4_inches.
  • A 6-penny nail is_2_inches.
  • A 10-penny nail is_3_inches.

if you want to learn more about linear equations:

https://brainly.com/question/1884491

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