High School

Which equation has a value greater than 7,245?

A. [tex]\frac{1}{3} \times 7,245[/tex]

B. [tex]\frac{2}{3} \times 7,245[/tex]

C. [tex]\frac{3}{3} \times 7,245[/tex]

D. [tex]\frac{3}{2} \times 7,245[/tex]

Answer :

To determine which equation has a value greater than 7,245, we will evaluate each equation one by one:

1. Calculate [tex]\(\frac{1}{3} \times 7,245\)[/tex]:
This is the first equation. When you multiply [tex]\(\frac{1}{3}\)[/tex] by 7,245, the result is 2,415.
Since 2,415 is less than 7,245, this value does not meet our criteria.

2. Calculate [tex]\(\frac{2}{3} \times 7,245\)[/tex]:
For the second equation, multiplying [tex]\(\frac{2}{3}\)[/tex] by 7,245 gives us 4,830.
4,830 is also less than 7,245, so this equation doesn't give us a value greater than 7,245.

3. Calculate [tex]\(\frac{3}{3} \times 7,245\)[/tex]:
The third equation is essentially 1 [tex]\(\times\)[/tex] 7,245, which results in 7,245.
Since 7,245 is equal to 7,245, it is not greater, so this doesn't satisfy the condition either.

4. Calculate [tex]\(\frac{3}{2} \times 7,245\)[/tex]:
In the final equation, multiplying [tex]\(\frac{3}{2}\)[/tex] by 7,245 gives 10,867.5.
This number is greater than 7,245, which meets the condition we are looking for.

Therefore, the equation [tex]\(\frac{3}{2} \times 7,245\)[/tex] results in a value (10,867.5) that is greater than 7,245.