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irakobra [83]
3 years ago
6

A and b are positive integers and a–b = 3. Evaluate the following: 27^ (1/3 b)/9^ (1/2 a)

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

1/27

Step-by-step explanation:

27^(b/3)/9^(a/2) = (27^(1/3))^b/(9^(1/2))^a = (3^b)/(3^a) = 3^(b-a)

= 3^(-(a-b)) = 3^-3 = 1/3^3 = 1/27

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Step-by-step explanation:

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Read 2 more answers
Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the
Levart [38]

Answer:

Subtracting 7

Step-by-step explanation:

<u><em>Given:</em></u>

<em>Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack. </em>

<u><em>To Find:</em></u>

<em>What kind of sequence is this?</em>

<u><em>Solve:</em></u>

<em>Let's make a table:</em>

<em />

<em>[1 stack]  45 </em>

<em>[2 stack] 38</em>

<em>[3 stack] 31</em>

<em>[4 stack] 24</em>

<em />

<em>Now all we have to do is subtract to see what each is:</em>

<em>45 - 38 = 7</em>

<em>38 - 31 = 7</em>

<em>31 - 24 = 7</em>

<em>Thus,</em>

<em>[1 stack]  45 ⇒ 7</em>

<em>[2 stack] 38 ⇒ 7 </em>

<em>[3 stack] 31 ⇒ 7 </em>

<em>[4 stack] 24 ⇒ 7 </em>

<em>Hence, each stack is going down by 7.</em>

<em />

<u><em>Kavinsky</em></u>

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