Question

The penny size of a nail indicates the length of the nail. The penny size

Answer 1

In this question ,it is given that

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.

In the first part we have to solve for n .

And for that firt we add 2 to both sides

$d+2 =4n$

Now we divide both sides by 4, that is

$n = \frac{d+2}{4}$

Part b.

When d=3

$n= \frac{3+2}{4} = \frac{5}{4} = 1.25$

When d =6, we will get

$n=\frac{6+2}{4}=2$

When d =10, we will get

$n = \frac{10+2}{4}= 3$

Answer 2

Answer:

The simplify form of the provided equation in form of n is $n=\frac{d+2}{4}$. For penny size 3, 6, and 10. the lengths of nail is 5/4, 2 and 3 respectively.

Step-by-step explanation:

Consider the provided equation.

$d=4n-2$

Where n is the length (in inches) of the nail and d is the penny size.

Part(a) Solve the equation for n.

Consider the provided equation and add 2 to the both sides.

$d+2=4n-2+2$

$d+2=4n$

Now divide both the sides by 4.

$\frac{d+2}{4}=n$

$n=\frac{d+2}{4}$

The simplify form of the provided equation in form of n is $n=\frac{d+2}{4}$.

Part (B) To find the lengths of nails with the following penny sizes: 3, 6, and 10.

For penny size 3.

Substitute d=3 in $n=\frac{d+2}{4}$.

$n=\frac{3+2}{4}$

$n=\frac{5}{4}$

For penny size 6.

Substitute d=6 in $n=\frac{d+2}{4}$.

$n=\frac{6+2}{4}$

$n=\frac{8}{4}$

$n=2$

For penny size 10.

Substitute d=10 in $n=\frac{d+2}{4}$.

$n=\frac{10+2}{4}$

$n=\frac{12}{4}$

$n=3$

Hence, for penny size 3, 6, and 10. the lengths of nail is 5/4, 2 and 3 respectively.