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Find the unknown value.

Find The Unknown Value class=

Sagot :

ᴜᴋɪʏᴏ

Hello gonzaleznoah570!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \tt\frac{48}{16} = \frac{ \boxed{}}{8} \\ [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Let's take the value inside the box as 'x'. So, now our equation becomes...

[tex] \tt \: \frac{48}{16} = \frac{x}{8} \\ [/tex]

Now, using cross multiplication, solve it.

[tex] \tt \: \frac{48}{16} = \frac{x}{8} \\ \tt \: 48 \times 8 = 16 \times x \\ \tt \: 384 = 16x \\ \tt \frac{384}{16} = x \\ \boxed{\boxed{ \bf \: 24 = x}}[/tex]

  • The value of the [tex]\boxed{}\\[/tex] is 24.

__________________

Hope it'll help you!

ℓu¢αzz ッ

MisterBrian

Hello There!

Question:-

Find the unknown value

Equation Given:-

[tex]\sf \dfrac{48}{16} = \dfrac{\boxed{}}{8} [/tex]

Solution:-

Let's us assume that the value of the unknown number be b.

The Equation would be :-

[tex]\sf \longmapsto \: \dfrac{48}{16} = \dfrac{b}{8} [/tex]

Firstly, Cross multiply :-

[tex]\sf \longmapsto \: (48)*(8)=b*(16)[/tex]

On Simplification of this equation :-

[tex]\sf \longmapsto384 = b*(16)[/tex]

[tex]\sf \longmapsto384 = 16b[/tex]

Overturn The equation given :-

[tex]\sf \longmapsto16b = 384[/tex]

Divide both sides by 16 :-

[tex]\sf \longmapsto \: \dfrac{16b}{16} = \dfrac{384}{16} [/tex]

On Simplification of this equation :-

Cancel 16 and 16, Result is 1b, which equals to b.

[tex]\sf \longmapsto \dfrac{ \cancel{16}b}{ \cancel16} = \dfrac{384}{16} [/tex]

Then cancel 384/16, which results to 24.

[tex]\sf \longmapsto \: b = \cancel\dfrac{384}{16} [/tex]

[tex]\sf \longmapsto \: b = 24[/tex]

Put the value of b (24) on 48/16 = b/8 :-

[tex]\sf \longmapsto \: \dfrac{48}{16} = \dfrac{24}{8} [/tex]

______________________________________

Henceforth,The unknown value is 24.

[tex]\boxed{ \bf \: \dfrac{48}{16} = \dfrac{24}{8} }[/tex]

________________________________

Please let me know if you have any questions.

~MisterBrian

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