Answer :
To find which options have the same value as [tex]\(60\%\)[/tex] of 94, we'll go through each option one by one and check if they match [tex]\(60\%\)[/tex] of 94.
First, let's calculate [tex]\(60\%\)[/tex] of 94:
[tex]\[ 60\% \text{ of } 94 = 0.60 \times 94 \][/tex]
Now, let's determine the values for each option.
1. Option (A): [tex]\(0.06 \cdot 94\)[/tex]
[tex]\[ 0.06 \cdot 94 = 5.64 \][/tex]
2. Option (B): [tex]\(0.6 \cdot 94\)[/tex]
[tex]\[ 0.6 \cdot 94 = 56.4 \][/tex]
3. Option (C): [tex]\(\frac{3}{5} \cdot 94\)[/tex]
[tex]\[ \frac{3}{5} \cdot 94 = 56.4 \][/tex]
4. Option (D): 60.94
This is a numerical value and not a multiplication or percentage. It does not involve any calculation related to percentages of 94. Therefore, it is just the number 60.94.
5. Option (E): [tex]\(\frac{60}{100} \cdot 94\)[/tex]
[tex]\[ \frac{60}{100} \cdot 94 = 56.4 \][/tex]
From our calculations:
- Option (A) yields 5.64
- Option (B) yields 56.4
- Option (C) yields 56.4
- Option (D) is 60.94
- Option (E) yields 56.4
Matching these results with [tex]\(60\% \text{ of } 94\)[/tex], which we know is 56.4, we see that:
Options (B), (C), and (E) have the same value as [tex]\(60\%\)[/tex] of 94.
So, the correct answers are:
- Option (B)
- Option (C)
- Option (E)
First, let's calculate [tex]\(60\%\)[/tex] of 94:
[tex]\[ 60\% \text{ of } 94 = 0.60 \times 94 \][/tex]
Now, let's determine the values for each option.
1. Option (A): [tex]\(0.06 \cdot 94\)[/tex]
[tex]\[ 0.06 \cdot 94 = 5.64 \][/tex]
2. Option (B): [tex]\(0.6 \cdot 94\)[/tex]
[tex]\[ 0.6 \cdot 94 = 56.4 \][/tex]
3. Option (C): [tex]\(\frac{3}{5} \cdot 94\)[/tex]
[tex]\[ \frac{3}{5} \cdot 94 = 56.4 \][/tex]
4. Option (D): 60.94
This is a numerical value and not a multiplication or percentage. It does not involve any calculation related to percentages of 94. Therefore, it is just the number 60.94.
5. Option (E): [tex]\(\frac{60}{100} \cdot 94\)[/tex]
[tex]\[ \frac{60}{100} \cdot 94 = 56.4 \][/tex]
From our calculations:
- Option (A) yields 5.64
- Option (B) yields 56.4
- Option (C) yields 56.4
- Option (D) is 60.94
- Option (E) yields 56.4
Matching these results with [tex]\(60\% \text{ of } 94\)[/tex], which we know is 56.4, we see that:
Options (B), (C), and (E) have the same value as [tex]\(60\%\)[/tex] of 94.
So, the correct answers are:
- Option (B)
- Option (C)
- Option (E)
