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Ivan
2 years ago
12

I'LL GIVE YOU BRAINIEST! 1 1/5 · x/3 = 9/10 solve for x

Mathematics
2 answers:
joja [24]2 years ago
8 0

\huge\text{Hey there!}

\huge\textbf{Equation:}

\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}

\huge\textbf{Solve:}

\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}

\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}

\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}

\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}

\huge\textbf{Simplify it:}

\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}

\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}

\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}

\huge\textbf{Simplify it:}

\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}

\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}

\mathbf{\rightarrow x = \dfrac{45}{20}}

\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}

\mathbf{\rightarrow x = \dfrac{9}{4}}

\mathbf{x \approx 2 \dfrac{1}{4}}

\huge\textbf{Therefore, your answer should be:}

\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

shusha [124]2 years ago
7 0

<u>Question</u><u> </u><u>:</u>

  • 1 1/5 . x/3 = 9/10 Solve for x

<u>Solution</u><u> </u><u>:</u>

>> (5 × 1 + 1 / 5) × (x / 3) = 9 / 10

>> (5 + 1 / 5) × (x / 3) = 9 / 10

>> (6 / 5) × (x / 3) = 9 / 10

>> 6 × x / 5 × 3 = 9 / 10

>> 6x / 15 = 9 / 10

>> 2x / 5 = 9 / 10

>> 2x × 10 = 5 × 9

>> 20x = 45

>> x = 45 / 20

>> x = 9 / 4

Therefore,

  • Value of x is 9 / 4 !!
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