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grandymaker [24]

3 years ago

13

Wilhelm built a shelf to hold his trophies. The shelf can support a maximum of 18 pounds, and his trophies each weigh 2 pounds.

What is the maximum number of trophies Wilhelm can place on his shelf?

1 answer:

kirill115 [55]3 years ago

6 0

18 divided by 2 equals 9 trophies

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I need help on this question I’m confused I think a &b are the same and c &d are different but I’m not to sure !

Nina [5.8K]

<h3>Answer: They're all the same</h3>

====================================================

Reason:

$2^6$ means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say

$2^6 = (2*2*2)*(2*2*2)$

The parenthesis are optional, but I find they're handy to count the '2's easier.

----------------

Now notice that

$2^3 = 2*2*2$

So,

$2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\$

The last step is possible because we have two copies of $2^3$ multiplied together.

This shows that choice C is equivalent to A and B.

-------------------

Lastly,

$2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\$

The jump to the last step is possible because we have three copies of $2^2$ multiplied together.

This shows choice D is equivalent to the others.

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