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o-na [289]
2 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]2 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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Answer:

Sara should sell each bracelet at <em>$8.50</em> to make a profit of $99.

Step-by-step explanation:

We are given the following:

Total cost = $28.50

Total bracelets to be made = 15

Total profit to be made = $99

Let x be the price at which Sara sells each bracelet to make a profit of $99.

\text{Total sales done = Number of bracelets sold }\times \text{ Sales price of each bracelet}\\

\Rightarrow 15 \times x    ...... (1)

Also,

\text{Total sales price = Total Cost}+ \text{Total Profit} \\

\Rightarrow \$28.50 + \$99 ....... (2)

Equating (1) and (2):

\Rightarrow  28.50 + 99 = 15x\\\Rightarrow x = \dfrac{127.5}{15}\\\Rightarrow x = $8.50

Sara should <em>sell each bracelet at $8.50</em> to make a profit of $99.

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3 years ago
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A car travels 120 miles in 2.5 hours (with a constant speed). What is the car's
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Step-by-step explanation:

120 divided by 2.5 = 40

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The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. Which unit tiles are needed to complete the factorizati
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x² = x * x
10 can be factored:
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(x-5)(x+2) = x(x+2) - 5(x+2)
                 = x² + 2x - 5x - 10
                 = x² - 3x - 10

∴ x - 5 = 0  ⇒⇒⇒ x = 5
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I have attached <span>algebra tiles for the given equation.</span>




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Ella collects 50 bottles to recycle. Of the bottles she collects, 19 are plastic and the rest are glass.
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QUESTION A

The total number of bottles Ella collected is
50


The number of bottles that are plastic is

19

The percentage of bottles that are plastic is

=  \frac{number \: of \: plastic \: bottles}{total \: number \: of \: bottes}  \times 100\%

=  \frac{19}{50}  \times 100\%

= 19 \times 2\%
= 38\%

Therefore 38% of the bottles are plastic.



QUESTION B

The total number of bottles that are glass is
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The total number of bottles Ella collected is
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The percentage of bottles that is glass is
=  \frac{number \: of \: glass \: bottles}{total \: number \: of \: bottles}  \times 100\%

=  \frac{31}{50}  \times 100\%

= 31 \times 2\%
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