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o-na [289]
3 years ago
14

Six cousins inherited a total of 5/8 of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’

s assets did each cousin inherit?
Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0
<h3>Answer:  5/48</h3>

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

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.

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

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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Nutka1998 [239]

Answer:

3,588

Step by step:

7.5 × 24 × 20 = 3120

16.9 × 24 × 10 = 4056

4056 + 3120 ÷ 2 = 3,588

7 0
3 years ago
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I WILL GIVE BRAINLIEST! Please answer these 5 questions correctly! (NO INCORRECT ANSWERS LINKS WILL BE REPORTED NO TROLL ANSWERS
BlackZzzverrR [31]

Answer:

1.) 4a + 55

2.) 88m + 24k - 55

4.) b and d

5.) b and d

6.) a

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Step-by-step explanation:

Hope this helped :)

5 0
2 years ago
Please help me with this.
tatyana61 [14]

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

<h3>How to evaluate a piecewise function at given values</h3>

In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:

<h3>r(- 3): </h3>

-3 ∈ (- ∞, -1]

r(- 3) = - 2 · (- 3) + 9

r (- 3) = 15

<h3>r(- 1):</h3>

-1 ∈ (- ∞, -1]

r(- 1) = - 2 · (- 1) + 9

r (- 1) = 11

<h3>r(1):</h3>

1 ∈ (-1, 5)

r(1) = 2 · 1² - 4 · 1 - 5

r (1) = - 7

<h3>r(5):</h3>

5 ∈ [5, + ∞)

r(5) = 4 · 5 - 7

r (5) = 13

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

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While shopping at store, Billy
romanna [79]

Answer:

A. 270

Step-by-step explanation:

30% can be rewritten as 3/10

To multiply 900 by 3/10, just divide by 10 (90) and multiply by 3 (270)

Therefore, the answer is A. 270

Bonus: To find the actual price, just subtract this amount (270) from the original price (900).

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Daisy is building a rectangular pen for her chickens along one wall in her back yard. She needs to build a fence
frosja888 [35]

Answer:

Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen

1 second/24 frames

so if he started with 0 frames

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time s = (1/24)( f-250) or maybe less time if he had more than 250

24 s </= f - 250

or

f >/= 24 s + 250

Step-by-step explanation:

7 0
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