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Leno4ka [110]
3 years ago
11

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

Mathematics
2 answers:
Alecsey [184]3 years ago
6 0

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

lakkis [162]3 years ago
4 0

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.

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