Question

Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35

Answer 1

The answer is option D and B

Explanation:

To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number

So we have

5 percent of 35 is written as

`(5)/(100) * 35 \\ = (1)/(20) * 35 \\ = (7)/(4)`

We have the answer as

1.75

From the options the one that has the same value as the above answer are

0.05 × 35 and 5/100 × 35

Hope this helps you

Answer 2

B and D

Explanation:

5% of 35 can be represented as 5%
`\cdot35`.

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So,
`(5)/(100)`. Multiplying by 35 gets us
`(5)/(100)\cdot35`

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is
`(5)/(100)`. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.05

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us
`0.05\cdot35`, so choice D works too.

Hope this helped!