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34kurt
3 years ago
12

an apartment complex contains 200 apartments , of these , x are 3-room apartments, and the others are 4-room apartments . how ma

ny rooms are there in the complex
Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

(800-x)\ rooms

Step-by-step explanation:

Let

x ----> 3-room apartments

200-x ----> 4-room apartments

we know that

To find out how many rooms are there in the complex, sum the number of 3-room apartments multiplied by 3 plus the number of 4-room apartments multiplied by 4

so

3x+4(200-x)

Apply distributive property

3x+800-4x

Combine like terms

(800-x)\ rooms

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The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

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The given inequality can be broken into two individual inequalities as,

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The above two inequalities are combined by "and" in the given compound inequality.

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To correct the sign, "and" should be replaced with "or".

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Answer:

\frac{37}{389}

Step-by-step explanation:

Given that a  medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.

                     Group I           Group II           Total

n                      187                  202                389

favour x             11                    26                  37

The fraction of older Americans who were included in the study suffered broken bones during the three-year period

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