Answer and Step-by-step explanation:
<em>116 b.</em>
![2^{10} = 1024\\2^8 = 256\\\\1024 + 256 = 1280\\\\\\2^5 = 32\\2^3 = 8\\\\32 - 8 = 24](https://tex.z-dn.net/?f=2%5E%7B10%7D%20%3D%201024%5C%5C2%5E8%20%3D%20256%5C%5C%5C%5C1024%20%2B%20256%20%3D%201280%5C%5C%5C%5C%5C%5C2%5E5%20%3D%2032%5C%5C2%5E3%20%3D%208%5C%5C%5C%5C32%20-%208%20%3D%2024)
1280 × 24 = 30720
<u>30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.</u>
<em>116 c.</em>
![16^3 = 4096\\8^3 = 512\\\\4096 - 512 = 3584\\\\\\4^3 = 64\\2^3 = 8\\\\64 + 8 = 72](https://tex.z-dn.net/?f=16%5E3%20%3D%204096%5C%5C8%5E3%20%3D%20512%5C%5C%5C%5C4096%20-%20512%20%3D%203584%5C%5C%5C%5C%5C%5C4%5E3%20%3D%2064%5C%5C2%5E3%20%3D%208%5C%5C%5C%5C64%20%2B%208%20%3D%2072)
3584 × 72 = 258048
<u>258048 ÷ 60 = 4096. 4096 is the solution; the expression is divisible by 63.</u>
<em>116 d.</em>
![125^2 = 15625\\25^2 = 625\\\\15625 + 625 = 16250\\\\\\5^2 = 25\\\\25 - 1 = 24](https://tex.z-dn.net/?f=125%5E2%20%3D%2015625%5C%5C25%5E2%20%3D%20625%5C%5C%5C%5C15625%20%2B%20625%20%3D%2016250%5C%5C%5C%5C%5C%5C5%5E2%20%3D%2025%5C%5C%5C%5C25%20-%201%20%3D%2024)
16250 × 24 = 390000
<u>390,000 ÷ 39 = 10,000. 10,000 is the solution; the expression is divisible by 39.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
20 and 25.
Step-by-step explanation:
Given:
They both teach total 45 yoga classes each week.
Erica teaches 15 fewer than twice as many as Bo.
To find:
How many classes does each instructor teach per week = ?
Solution:
Let number of classes are taken by Bo = ![x](https://tex.z-dn.net/?f=x)
Then number of classes are taken by Erica =
(given)
Total number of classes are taken by both = 45 (given)
According to the question.
+
= 45
![3x - 15 = 45](https://tex.z-dn.net/?f=3x%20-%2015%20%3D%2045)
By adding both side by 15
![3x = 60\\](https://tex.z-dn.net/?f=3x%20%3D%2060%5C%5C)
By dividing both side by 3
![x = 20](https://tex.z-dn.net/?f=x%20%3D%2020)
number of classes are taken by Bo =
= 20
number of classes are taken by Erica = ![2x - 15](https://tex.z-dn.net/?f=2x%20-%2015)
= ![2\times20 - 15 = 40- 15 = 25\\](https://tex.z-dn.net/?f=2%5Ctimes20%20-%2015%20%3D%2040-%2015%20%3D%2025%5C%5C)
Therefore, number of classes are taken by Bo and Erica is 20 and 25.
In side the triangle. Each median is split in the ratio 2:1 by the intersection.