College

Complete each sentence to make it true.

11. ______ is [tex]$5 \%$[/tex] of 12.

12. 60 is ______ [tex]$\%$[/tex] of 240.

13. 15 is [tex]$20 \%$[/tex] of ______.

14. One-fifth of 180 is the same as ______ [tex]$\%$[/tex] of 180.

15. 90 is [tex]$33 \frac{1}{3} \%$[/tex] of ______.

16. [tex]$50 \%$[/tex] means 50 out of ______.

17. 5 out of ______ is equivalent to [tex]$20 \%$[/tex].

18. ______ out of 20 is equivalent to [tex]$40 \%$[/tex].

19. 3 out of 12 is equivalent to ______ [tex]$\%$[/tex].

20. 8 out of 40 is equivalent to ______ out of 100.

Answer :

Sure, let's tackle each question one by one with step-by-step explanations:

11. What is 5% of 12?

To find 5% of a number, multiply the number by 0.05.

Calculation: 12 x 0.05 = 0.6

12. 60 is what % of 240?

To find out what percent 60 is of 240, divide 60 by 240 and multiply by 100.

Calculation: (60 / 240) x 100 = 25%

13. 15 is 20% of what number?

To find the whole number when given a percent, divide the part (15) by the decimal form of the percent (0.20).

Calculation: 15 / 0.20 = 75

14. One-fifth of 180 is the same as what % of 180?

First, find one-fifth of 180, which is 180 / 5 = 36.

Then, see what percentage 36 is of 180.

Calculation: (36 / 180) x 100 = 20%

15. 90 is 33 1/3% of what number?

Convert 33 1/3% to a decimal, which is 0.3333. Divide 90 by this decimal to find the whole number.

Calculation: 90 / 0.3333 ≈ 270

16. 50% means 50 out of what?

50% is another way of saying 50 out of 100.

17. 5 out of what is equivalent to 20%?

Convert 20% to a decimal (0.20) and divide 5 by this decimal.

Calculation: 5 / 0.20 = 25

18. What out of 20 is equivalent to 40%?

To find 40% of 20, multiply 20 by 0.40.

Calculation: 20 x 0.40 = 8

19. 3 out of 12 is equivalent to what %?

Divide 3 by 12 and then multiply by 100 to convert to a percentage.

Calculation: (3 / 12) x 100 = 25%

20. 8 out of 40 is equivalent to what out of 100?

To find the equivalent number out of 100, set up the proportion: 8/40 = x/100 and solve for x.

Calculation: (8 / 40) x 100 = 20

I hope these detailed steps help you understand the solutions to each of these questions!