QuestionFind $n$ , $d$ , and $p$ such that $\frac{n}{100}=\frac{1}{d}=p \%$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $\frac{n}{100}=\frac{1}{d}=p \%$ . . We need to find the values of $n$ , $d$ , and $p$ that satisfy this equation.
3. The percentage $p$ is a decimal value.

STEP 2

First, let's rewrite the equation in a more standard form, separating the equalities.
$\frac{n}{100}=\frac{1}{d}$ $\frac{1}{d}=p \%$

STEP 3

Let's solve the first equation for $d$ .
$d = \frac{100}{n}$

STEP 4

Now, let's solve the second equation for $d$ .
$d = \frac{1}{p \%}$

STEP 5

Since both equations are equal to $d$ , we can set them equal to each other and solve for $n$ .
$\frac{100}{n} = \frac{1}{p \%}$

STEP 6

Cross multiply to solve for $n$ .
$n =100 \cdot p \%$

STEP 7

Now that we have $n$ in terms of $p$ , we can substitute this into the first equation to solve for $d$ .
$d = \frac{100}{100 \cdot p \%}$

STEP 8

implify the equation to find $d$ .
$d = \frac{1}{p \%}$

STEP 9

So, the values of $n$ , $d$ , and $p$ that satisfy the equation are $n =100 \cdot p \%$ $d = \frac{}{p \%}$ $p = p \%$

Was this helpful?

QuestionFind $n$ , $d$ , and $p$ such that $\frac{n}{100}=\frac{1}{d}=p \%$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $\frac{n}{100}=\frac{1}{d}=p \%$ . . We need to find the values of $n$ , $d$ , and $p$ that satisfy this equation.
3. The percentage $p$ is a decimal value.

STEP 2

First, let's rewrite the equation in a more standard form, separating the equalities.
$\frac{n}{100}=\frac{1}{d}$ $\frac{1}{d}=p \%$

STEP 3

Let's solve the first equation for $d$ .
$d = \frac{100}{n}$

STEP 4

Now, let's solve the second equation for $d$ .
$d = \frac{1}{p \%}$

STEP 5

Since both equations are equal to $d$ , we can set them equal to each other and solve for $n$ .
$\frac{100}{n} = \frac{1}{p \%}$

STEP 6

Cross multiply to solve for $n$ .
$n =100 \cdot p \%$

STEP 7

Now that we have $n$ in terms of $p$ , we can substitute this into the first equation to solve for $d$ .
$d = \frac{100}{100 \cdot p \%}$

STEP 8

implify the equation to find $d$ .
$d = \frac{1}{p \%}$

STEP 9

So, the values of $n$ , $d$ , and $p$ that satisfy the equation are $n =100 \cdot p \%$ $d = \frac{}{p \%}$ $p = p \%$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind nnn, ddd, and ppp such that n100=1d=p%\frac{n}{100}=\frac{1}{d}=p \%100n​=d1​=p%.

Studdy Solution

STEP 1

Assumptions1. The equation given is n100=1d=p%\frac{n}{100}=\frac{1}{d}=p \%100n​=d1​=p%. . We need to find the values of nnn, ddd, and ppp that satisfy this equation.3. The percentage ppp is a decimal value.

STEP 2

First, let's rewrite the equation in a more standard form, separating the equalities.n100=1d\frac{n}{100}=\frac{1}{d}100n​=d1​1d=p%\frac{1}{d}=p \%d1​=p%

STEP 3

Let's solve the first equation for ddd.d=100nd = \frac{100}{n}d=n100​

STEP 4

Now, let's solve the second equation for ddd.d=1p%d = \frac{1}{p \%}d=p%1​

STEP 5

Since both equations are equal to ddd, we can set them equal to each other and solve for nnn.100n=1p%\frac{100}{n} = \frac{1}{p \%}n100​=p%1​

STEP 6

Cross multiply to solve for nnn.n=100⋅p%n =100 \cdot p \%n=100⋅p%

STEP 7

Now that we have nnn in terms of ppp, we can substitute this into the first equation to solve for ddd.d=100100⋅p%d = \frac{100}{100 \cdot p \%}d=100⋅p%100​

STEP 8

implify the equation to find ddd.d=1p%d = \frac{1}{p \%}d=p%1​

STEP 9

So, the values of nnn, ddd, and ppp that satisfy the equation aren=100⋅p%n =100 \cdot p \%n=100⋅p%d=p%d = \frac{}{p \%}d=p%​p=p%p = p \%p=p%

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind $n$ , $d$ , and $p$ such that $\frac{n}{100}=\frac{1}{d}=p \%$ .

Assumptions1. The equation given is $\frac{n}{100}=\frac{1}{d}=p \%$ . . We need to find the values of $n$ , $d$ , and $p$ that satisfy this equation.
3. The percentage $p$ is a decimal value.

First, let's rewrite the equation in a more standard form, separating the equalities.
$\frac{n}{100}=\frac{1}{d}$ $\frac{1}{d}=p \%$

Let's solve the first equation for $d$ .
$d = \frac{100}{n}$

Now, let's solve the second equation for $d$ .
$d = \frac{1}{p \%}$

Since both equations are equal to $d$ , we can set them equal to each other and solve for $n$ .
$\frac{100}{n} = \frac{1}{p \%}$

Cross multiply to solve for $n$ .
$n =100 \cdot p \%$

Now that we have $n$ in terms of $p$ , we can substitute this into the first equation to solve for $d$ .
$d = \frac{100}{100 \cdot p \%}$

implify the equation to find $d$ .
$d = \frac{1}{p \%}$

So, the values of $n$ , $d$ , and $p$ that satisfy the equation are $n =100 \cdot p \%$ $d = \frac{}{p \%}$ $p = p \%$