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1 year ago

Dion shares 1/3 cup of nuts equally with his brother.

Mathematics

1 answer:

antiseptic1488 [7]1 year ago

5 0

Each person will get $\frac{1}{6}$ cups of nuts.

Step-by-step explanation:

Given,

Quantity of nuts to share = 1/3 cups of nuts

As Dion will share this with his brother, it means,

1 share of Dion, 1 share of his brother = 2 shares

We will divide the quantity of nuts with 2.

Share of each person = $\frac{1}{3}*\frac{1}{2}$

Share of each person = $\frac{1}{6}$ cups of nuts

Each person will get $\frac{1}{6}$ cups of nuts.

Keywords: fraction, division

Learn more about division at:

#LearnwithBrainly

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In your internship with Lewis, Lee, & Taylor Inc. you have been asked to forecast the firm's additional funds needed (AFN) f

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Answer:

Option B. -$22,000

Step-by-step explanation:

Last year data :

Sales = $200,000

Profit margin = 20%

Total assets = $120,000

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Accruals = $20,000

Sales growth rate = 40%

Calculate total increase in total assets :

Increase in total assets = Total assets × Growth rate

= 120,000 × 40%

= $48,000

Calculate increase in spontaneous liabilities :

Increase in spontaneous liabilities = (50,000 + 20,000) × 40%

= $28,000

Calculate increase in retained dividend :

calculate the increase sales :

increased sales = 200,000 × (1 + 0.40)

= 280,000

calculate profit margin for next year on increase sales :

Profit margin on increased sales = 280,000 × 20%

= $56,000

Calculate retained earning :

Retained earning = profit - payout of profit

= 56,000 - ( 56,000 × 25% )

= 56,000 - 14,000

= $42,000

Calculate AFN :

AFN = Increase in assets - Increase in liabilities - increase in retained earning

= 48,000 - 28,000 - 42,000

= -$22,000

Option B. is the answer.

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2 years ago

You earn $11 per hour delivering pizzas. you also work part-time at a convenience store where you earn $9 per hour. you want to

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We will traduce the sentences into equations.
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1 year ago

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If x = (10 − 3i) and y = (3 − 10i), then xy = -109i and x/y =

Yuliya22 [10]

Xy = -109i
We could find the value of i by substitute the algebraic form of x and y to the equation above

xy = -109i
(10 - 3i)(3 - 10i) = -109i
(10)(3) -3i(3) + 10(-10i) - 3i(-10i) = -109i
30 - 9i - 100i -30i² = -109i

multiply both side by -1
-30 + 9i + 100i + 30i² = 109i
30i² + 9i + 100i - 109i - 30 = 0
30i² - 30 = 0
30i² = 30
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i = -1 or i = 1

Then find the value of x and y if i = -1
If i = -1, therefore
x = 10 - 3(-1)
x = 10 + 3
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y = (3 - 10i)
y = 3 - 10(-1)
y = 3 + 10
y = 13

x/y = 13/13 = 1

Then find the value of x and y if i = 1
x = 10 - 3(1)
x = 10 - 3
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y = (3 - 10i)
y = 3 - 10(1)
y = 3 - 10
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x/y = 7/-7 = -1

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Troyanec [42]

The domain is the x values

y = 2 - x

when x = -3
y = 2 - (-3)
y = 2 + 3
y = 5....so ur points are (-3,5)

when x = -2
y = 2 - (-2)
y = 2 + 2
y = 4....so ur points are (-2,4)

when x = -1
y = 2 - (-1)
y = 2 + 1
y = 3...so ur points are (-1,3)

when x = 0
y = 2 - 0
y = 2....so ur points are (0,2)

when x = 1
y = 2 - 1
y = 1...so ur point are (1,1)

so basically, u plot all of those points

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