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Which set of statements shows the correct steps to find 45 percent of 75?

A. Write 45 percent as 9 - 5 percent, and write 5 percent as [tex]\(\frac{1}{20}\)[/tex]. Then, find [tex]\(\frac{1}{20}\)[/tex] of 75: [tex]\(75 \times \frac{1}{20} = \frac{75}{20} = 3.75\)[/tex]. Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.

B. Write 45 percent as 9 - 5 percent, and write 5 percent as [tex]\(\frac{1}{2}\)[/tex]. Then, find [tex]\(\frac{1}{2}\)[/tex] of 75: [tex]\(75 \times \frac{1}{2} = \frac{75}{2} = 33.75\)[/tex]. Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.

C. Write 45 percent as [tex]\(\frac{1}{45}\)[/tex]. Then, find [tex]\(\frac{1}{45}\)[/tex] of 75: [tex]\(75 \times \frac{1}{45} = \frac{75}{45} = 1.67\)[/tex]. So, 45 percent of 75 is 1.67.

D. Write 45 percent as [tex]\(\frac{1}{4.5}\)[/tex]. Then, find [tex]\(\frac{1}{4.5}\)[/tex] of 75: [tex]\(75 \times \frac{1}{4.5} = \frac{75}{4.5} = 16.7\)[/tex]. So, 45 percent of 75 is 16.7.



Answer :

GinnyAnswer
To find 45 percent of 75, follow these steps:

1. Convert the percentage to a decimal by dividing by 100.
2. Multiply the resulting decimal by the number in question.

Let's go through the steps:

1. Convert 45 percent to a decimal:
[tex]\[ 45 \% = \frac{45}{100} = 0.45 \][/tex]

2. Multiply this decimal by 75:
[tex]\[ 0.45 \times 75 = 33.75 \][/tex]

So, 45 percent of 75 is 33.75.

The correct set of statements from your options is:
```
Write 45 percent as 9 - 5 percent, and write 5 percent as [tex]\(\frac{1}{20}\)[/tex]. Then, find [tex]\(\frac{1}{20}\)[/tex] of [tex]\(75: 75 \times \frac{1}{20} = \frac{75}{20} = 3.75\)[/tex]. Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
```

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