Dilation with a scale factor 1/3. the original points are three times as big as the transformed points, so the transformation needed to reduce the size by three times smaller.
2+2=4 so now its 4/4*10. 4*10 is 40 so now its 4/40. Dividing both sides by 4 will get you the simplest form 1/10
There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
Answer:
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Step-by-step explanation:
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Answer:
86
Step-by-step explanation:
1,032 ÷ 12 = 86
86 containers would be needed.