Answer: Think about diagonal sides and horizontal bases.
Step-by-step explanation: "Think outside of the box." as they say.
See the screenshot attached.
<h3>
Answer: 5/48</h3>
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Work Shown:
We'll divide the total 5/8 evenly among the 6 cousins.
(5/8) ÷ 6 = (5/8) ÷ (6/1)
(5/8) ÷ 6 = (5/8) * (1/6)
(5/8) ÷ 6 = (5*1)/(8*6)
(5/8) ÷ 6 = 5/48
Each cousin gets 5/48 of the aunt's assets.
So for instance, if the aunt had $48,000 in assets, then each cousin gets (5/48)*(48,000) = 5000 dollars.
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An alternative approach:
Draw 6 rectangles side by side that represent the 6 cousins. Then divide each rectangle into 8 pieces, with 5 pieces shaded. The yellow pieces represent the amount given to the cousins. For any given rectangle, 5/8 of it is shaded yellow. Refer to the diagram below.
Overall we have 6*8 = 48 pieces.
The first cousin gets 5 yellow pieces out of 48 total. The same applies to the other five cousins. So this is a visual way to arrive at the answer 5/48.
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Answer:
the answer is definitely 4
<h3>
Answer is -28</h3>
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Work Shown:
T(2) = 20 means the second term is 20
T(1) = 26 because we go backwards from what the rule says (subtract 6) to step back one term. Going forward, 26-6 = 20.
Since a = 26 is the first term and d = -6 is the common difference, the nth term is
T(n) = a + d*(n-1)
T(n) = 26 + (-6)(n-1)
T(n) = 26 - 6n + 6
T(n) = -6n + 32
Plugging n = 1 into the equation above leads to T(1) = 26. Using n = 2 leads to T(2) = 20.
Plug in n = 10 to find the tenth term
T(n) = -6n + 32
T(10) = -6(10) + 32
T(10) = -60+32
T(10) = -28