Question

So can someone help me... PLEASE

Answer 1

Answer:

B. , C.,  D. ,E.

Step-by-step explanation:

The given equation is:-

5 = 2/ 3. x

=> x =15/ 2

• Checking option A.

=> 5. 2/ 3

=> 10/ 3

10/ 3 ≠ 15/ 3

So, option A isn't the right answer  

• Checking option B

=> 5/(2/ 3)

=> (5 × 3)/ 2

=> 15/ 2

15/ 2 = 15/ 2

So, option B is  the correct answer.

• Checking option C

=> 5 ÷ (2/ 3)

=> 5 × 3/ 2

=> 15/ 2

So, option C is the right answer.

• Checking option D

=> 15/ 2

Since, it's value is equal to the value of x( x= 15/ 2)

Option D is the right answer.

• Checking option E

=> 3/ 2 . 5

=> 15/ 2

so, option E is the right answer.

Hence, we see that option B, C, D and E are the right answers.

______________

Hope this helps!

Answer 2

Question :

Select the Correct Options for the given expression from the Options Given below :

$\textsf {Option A :} \:\:5\times\frac{2}{3}\\\\\\\textsf {Option B :} \:\:\frac{5}{\frac{2}{3}}\\\\\\\textsf {Option C :} \:\:5\div\frac{2}{3}\\\\\\\textsf {Option D :} \:\: 15\div2\\\\\\\textsf {Option E :} \:\:\frac{3}{2}\times5$

Given :

We have to select the solutions for the expression $5=\frac{2}{3}x$ from the given Options below

To Find :

The expressions that are the solutions to  $5=\frac{2}{3}x$

Options Given :

$\textsf {Option A :} \:\:5\times\frac{2}{3}\\\\\\\textsf {Option B :} \:\:\frac{5}{\frac{2}{3}}\\\\\\\textsf {Option C :} \:\:5\div\frac{2}{3}\\\\\\\textsf {Option D :} \:\: 15\div2\\\\\\\textsf {Option E :} \:\:\frac{3}{2}\times5$

Solution :

Checking Option A :

Let the solution of x be   $5\times\frac{2}{3}$  

$5\times\frac{2}{3}=x\\\\\\5=x\div\frac{2}{3}\\\\\\5=x\times\frac{3}{2}\\\\\\(5=\frac{3}{2}x )\neq (5=\frac{2}{3}x)\\\\\\\textsc{L.H.S }\neq\textsc{R.H.S }$

Therefore Option A is not a correct solution for the expression

Checking Option B :

Let the solution of x be $\frac{5}{\frac{2}{3}}$  

$\frac{5}{\frac{2}{3}}=x\\\\\\5\times\frac{3}{2}=x\\\\\\5=x\div\frac{3}{2}\\\\\\5=x\times\frac{2}{3}\\\\\\5=\frac{2}{3}x\\\\\\(5=\frac{2}{3}x)=(5=\frac{2}{3}x)\\\\\\\textsc{L.H.S = R.H.S}$

Therefore Option B is an solution for the expression

Checking Option C :

Let the solution  of  x be $5\div{\frac{2}{3}}$

$5\div{\frac{2}{3}}=x\\\\\\5\times{\frac{3}{2}}=x\\\\\\5=x\div{\frac{3}{2}}\\\\\\5=x\times{\frac{2}{3}}\\\\\\5={\frac{2}{3}}x\\\\\\(5={\frac{2}{3}}x)=(5={\frac{2}{3}}x)\\\\\\\textsc{L.H.S = R.H.S}$

Therefore Option C is an solution for the expression

Checking Option D :

Let the solution  of  x be  ${\frac{15}{2}}$  

${\frac{15}{2}}=x\\\\\\\to\frac{15}{2} \textsf{ can be written as }5\times\frac{3}{2}\\\\\\5\times\frac{3}{2}=x\\\\\\5=x\div\frac{3}{2}\\\\\\5=x\times\frac{2}{3}\\\\\\5=\frac{2}{3}x\\\\\\(5=\frac{2}{3}x)=(5=\frac{2}{3}x)\\\\\\\textsc{L.H.S = R.H.S}$

Therefore Option D is an solution for the expression

Checking Option E :

Let the solution  of  x be  ${\frac{3}{2}}\times 5$

${\frac{3}{2}}\times 5=x\\\\\\5=x\div\frac{3}{2}\\\\\\5=x\times\frac{2}{3}\\\\\\5=\frac{2}{3}x\\\\\\(5=\frac{2}{3}x)=(5=\frac{2}{3}x)\\\\\\\textsc{L.H.S = R.H.S}$

Therefore Option E is an solution for the expression

Answer:

Therefore Options B , C , D and E are the Correct Options.

Be Brainly!