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SMART PPL PLEASE HELP!!! (explain your reasoning for bainliest)

SMART PPL PLEASE HELP!!! (explain your reasoning for bainliest)-example-1
User Turismo
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2 Answers

9 votes
hi !

1.) False

take the first equation (45/100 x 72) and reduce it using the Least Common Denominator method to 9/20 x 72 to get 32 2/5. Using the same method, reduce the second equation to 5/8 (divide both the numerator and denominator to get 9) and multiply it by the LCD, 100, which would equal 62 1/2. now you have two different fractions, 32 2/5 and 62 1/2. you can either cross multiply the bigger numbers or you can reduce the equations to 9/5 x 18 and 5/2 x 25. Either way, if you cross multiply you will get your answer, false.

2.) True

Percents need to be multiplied by 0.01 (one-one hundredth.) multiply 16 by 0.01 and you get 0.16. Then you just multiply 0.16 by 250 and get 40. Now, to get the other percentage you would also multiply 250 by 0.01 and get 2.5. like earlier, you multiply the decimal, 2.5, to the other number, 16, and you get 40.

hope this helps :]
User CatalystNZ
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3.9k points
11 votes

Answer:

1. False

2. True

Explanation:

If you work out the math for both you'll see that 45/100*72=32.4 and 45/72*100=62.5. Without doing the math; 45/100 is going to give you a different value than 45/72. Multiplying 100 by 45/72 is just going to add another place at the end and not change the actual value. For the second one, you are trying to figure out what part of 250 is 16% and vise versa. This means that the chunks the include that % are going to be equal. You aren't changing values, just finding chunks.

I hope this helps! Sorry if it doesn't make sense.

User Donnett
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3.9k points