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2 years ago

5

Which percentage of weight was lost if a patient weighed 102 kg and is currently 96 kg?

1 answer:

galina1969 [7]2 years ago

4 0

Answer:

Step-by-step explanation:

you have to make a box like this:

║ ---------- ║------------ ║ label one side percent and the other amount

║ x% ║ 96 kg ║

║ _ _ _║_____ _║ Now if the patient originally weighed 102 kg which

║100% ║ 120 kg ║ is 100% place the numbers in the bottom box.

║ _ _ _ ║ _ _ _ ║ and if the patient currently weighs 96 kg then let

Percent Amount percentage of the weight lost be x. Now cross multiply. You should get 100*96=120*x. Simplify that to get 9600=120x, now divide by 120 on both sides and you get 80 so x= 80. But the problem isn't done yet. Now you have to subtract 80% from 100% to find the weight lost, because 80% is the percentage of the current weight. after you have subtracted you get 20

20% of the original weight was lost.

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2 years ago

What is the sum of all positive integers smaller than $1000$ that can be written in the form $100\cdot 2^n$, where $n$ is an int

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Answer:

The sum is 1575.

Step-by-step explanation:

Consider the provided information.

It is given that positive integers smaller than 1000 and that can be written in the form $100\cdot 2^n$

Where n is integer that means the value of n can be a positive number or a negative number.

For n = 0

$100\cdot 2^{0}=100$

For n=-1

$100\cdot 2^{-1}=50$

For n=-2

$100\cdot 2^{-2}=25$

For n = -3 the obtained number is not an integer.

Now consider the positive value of n.

For n=1

$100\cdot2^1 = 200$

For n=2

$100\cdot2^2 = 400$

For n=3

$100\cdot2^3 = 800$

For n=4 the obtained number is greater than 1000.

Now add all the numbers.

$100+50+25+200+400+800=1575$

Hence, the sum is 1575.

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