Question

if n= m/x+q, find the value of q when N=1 4/5 , m = 9 and x=2​

Answer 1

Value of q is 3.

Given:

• If $n = \frac{m}{x + q}$

To find:

• Find the value of q, when $n = 1 \frac{4}{5}$, m=9, and x=2.

Solution:

Concept to be used:

1. Convert mixed fraction into improper fraction.
2. Put the values in the equation.
3. Solve for q.

Step 1:

Convert value of n.

We know that mixed fraction can be converted into improper fraction as shown below:

$a \frac{b}{c} = \frac{ac + b}{c}$

So,

$1 \frac{4}{5} = \frac{(1 \times 5) + 4}{5}$

or

$\bf 1 \frac{4}{5} = \frac{9}{5}$

Step 2:

Put the values into the equation.

$\frac{9}{5} = \frac{9}{2 + q}$

or

cancel 9 from both sides.

$\frac{1}{5} = \frac{1}{2 + q}$

or

$2 + q = 5$

or

$q = 5 - 2$

or

$\bf \red{q = 3}$

Thus,

Value of q is 3.

#SPJ3

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Answer 2

Answer:

Value of q is 3.

  Given:

  If  $n=\frac{m}{x+q}$

To Find:

  The value of q, when $n=1\frac{4}{5}$, $m=9$,$x=2$

Solution:

 Concept  to be used:

• Convert mixed fraction into improper fraction.
• Put the values in the equation.
• Solve for q.

Step 1,

Convert value of n.

we know that mixed fraction can be converted into improper fraction as shown below:

  $a\frac{b}{c}$$=\frac{ac+b}{c}$

So,        $1\frac{4}{5} =\frac{9}{5}$

Step 2:

 Put the values into the equation.

$\frac{9}{5} =\frac{9}{2+q}$

cancel 9 from both sides,

$\frac{1}{5}=\frac{1}{2+q}$

$2+q=5\\q=5-2\\q=3$

Value of q=3

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