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Thepotemich [5.8K]
3 years ago
15

Drew is packing a moving box he has a square framed poster with an area of 9 ft.² the cube shaped box has a volume of 30 ft.³ wi

ll the poster lie flat in the box
Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0
<span>The square framed poster has an area of 9 square feet making the dimensions of the poster 3 feet by 3 feet. Drew's box is a cube with a total volume of 30 cubic feet. This fives a dimension of 3.1 feet on a side. Therefore the poster will fit inside the box.</span>
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A company has $14,000 in liabilities and $15,000 in equity. Calculate the company's debt to equity ratio as a percentage.
liberstina [14]

The required debt-equity ratio is 14:15

<u>Solution:</u>

<em>Given:</em>

Liabilities of the company = $14000

Equity of the company = $15000

<em>To calculate: </em>The debt-equity ratio

Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,

\text { Debt Equity ratio }=\frac{\text { Debt }}{\text { Equity }}=\frac{14000}{15000}=\frac{14}{15}

\text { Debt Equity ratio }=\frac{14}{15} \rightarrow 14: 15

The debt-equity ratio reflects the ability of shareholder equity to cover all outstanding debts in the event of a business downturn.

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3 years ago
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Bezzdna [24]
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6 0
3 years ago
Why is 12 a composite number
Gwar [14]
Because it's a positive number that can be gained by multiplying two smaller positive numbers.
5 0
3 years ago
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Solve for X and Y: <br> Y=2+7x and -2x+6y=-28
Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

  • y=2+7x....... equation (1)
  • -2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

- 2x + 6(2 + 7x) =  - 28 \\

simplify it

- 2x + 12 + 42x =  - 28 \\ 40x + 12 =  - 28

subtract 12 from both sides

40x + 12 - 12 =  - 28 - 12 \\ 40x =  - 40

divide both sides by 40

\frac{40x}{40}  =  \frac{ - 40}{40} \\ x =  - 1

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y =  - 5

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

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1 year ago
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Rainbow [258]

Answer:

A\cap B={2,4}

Step-by-step explanation:

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