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11111nata11111 [884]
3 years ago
13

25 students are learning how to make balloon animals. There are 194 balloons to be shared equally among the students. How many b

alloons are left over after sharing them equally. If each student needs 8 balloons how many balloons are needed
Mathematics
1 answer:
alexdok [17]3 years ago
6 0
25 students
194 balloons

194/25 = 7.76
Each student gets 7 balloons, 7 x 25 = 175 balloons will be used
194 - 175 = 19 balloons remaining (Answer to part 1 of this question)

If each student needs 8 balloons
8 * 25 = 200
200 - 194 = 6 ballons needed (Answer to part 2 of this question)

We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
Each student needs another 1 balloon = 25 balloons, 
We have 19 left over
25 - 19 = 6 balloons need to be purchased (we got the same answer both ways so it is very likely we have the correct answer)
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ANSWER

2 \sqrt{42} +7  \sqrt{2}- 6- \sqrt{21}

EXPLANATION

The given product is:

( \sqrt{14}  -  \sqrt{3} )( \sqrt{12} +  \sqrt{7}  )

We expand using the distributive property to obtain:

\sqrt{14}( \sqrt{12} +  \sqrt{7}) -\sqrt{3}( \sqrt{12} +  \sqrt{7}  )

Extract the perfect squares to get:

\sqrt{14}(2 \sqrt{3} +  \sqrt{7}) -\sqrt{3}( 2\sqrt{3} +  \sqrt{7}  )

Expand further to get;

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2 \sqrt{42} +7  \sqrt{2}- 6- \sqrt{21}

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