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Mashcka [7]
3 years ago
13

Explain how to model the division of –24 by –4 on a number line.

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

Here's one way to do it.

Step-by-step explanation:

-24 ÷ (-4)

-24 is the final number on the number line

-4 means you count by 4s on the number line moving backwards.

  1. Start at 0 facing forward.
  2. Move backwards in steps of four units from 0 to -24.
  3. Count the number of steps you took (six).

Answer: +6 (The sign is + because you are still facing forward).

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State the type of angles and solve for the yven vatizble.
Alika [10]

Answer:

1st option

Step-by-step explanation:

The 2 angles are alternate exterior angles and are congruent , so

3x = 2x + 20 ( subtract 2x from both sides )

x = 20

4 0
3 years ago
Terrell Trucking Company is in the process of setting its target capital structure. The CFO believes that the optimal debt-to-ca
Eduardwww [97]

Answer:

40% or 0.4

Step-by-step explanation:

The optimal capital structure (OCS) of a firm is defined as "the proportion of debt and equity that results in the lowest weighted average cost of capital (WACC) for the firm"

The brief explanation of this is that OCS is the factor used by a company in maximising their stock price, and this generally calls for a Debt-to-capital or "Debit-to-equity" ratio.

From the table above, the company's stock ratio is highest or maximised at 37.75 (under Projected Stock Price Column)

This can be traced to 40% under Debt/Capital ratio column

Hence, the Debt/Capital Ratio of 40%,

Because it must equate to 100%, we say that the firm's optimal capital structure is 40% debt and 60% equity.

This is also the debt to capital ratio, where the firms WACC is minimized.

5 0
4 years ago
What is the measure of the angle x?
NISA [10]

Answer:

40

Step-by-step explanation:

angle AOB= 2x=80

x=80/2

x=40

5 0
2 years ago
One positive number is 8 more than twice another. If their product is 234 find the numbers
Setler [38]

Answer:

Step-by-step explanation:

Let the larger number = x

Let the smaller number = y

x = 2*y + 8

x * y = 234              Put the first  equation into the second.

(2y + 8)*y = 234      Remove the brackets

2y^2 + 8y = 234     Subtract 234 from both sides

2y^2 +  8y - 234 =0 Factor out 2

2(y^2 + 4y - 117) = 0 Divide by 2

y^2 + 4y - 117 = 0

(y + 13)(y - 9)

y = 9 is one answer

x * y = 234

x * 9 = 234         Divide by 9

x = 234/9

x = 26

The two numbers are 9 and 26

3 0
2 years ago
What is the domain of the following function? Show work <br> f(x)=(2x-1)/((2x^2)-9x+10)
Romashka-Z-Leto [24]

Step-by-step explanation:

f ( X) = ( 2X - I ) / 2X ^ 2 - 9X + 10

= 2X-1 ) /( 2X- 5 ) ( x - 2 )

set of zeros of denominator are :

2X- 5 . = 0

X= 5/2

or

X-2=0

X=2

set of zeros of denominator = { 5/2 ,2 }

domain = R - { 5/2,2 }

7 0
3 years ago
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