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3 years ago

Drag each rational number to the correct location on the table.

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

8 0

Answer:

 Negative rational number  :

${ \sf{ \frac{ {}^{ - }1 }{ {}^{ + }7 } \: \: and \: \: \frac{ {}^{ - }4 }{ {}^{ + }5 } \: \: and \: \: \frac{ - 4}{ + 5} \: \: and \: \: \frac{ + 4}{ - 5} }} \\$

 Positive rational numbers  :

None

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively:

$k_{1} = \frac{y_{1}}{x_{1}}$

$k_{1} = \frac{45.5}{13}$

$k_{1} = \frac{7}{2}$

$k_{2} = \frac{y_2}{x_2}$

$k_{2} = \frac{49}{14}$

$k_{2} = \frac{7}{2}$

$k_{3} = \frac{y_{3}}{x_{3}}$

$k_{3} = \frac{52.5}{15}$

$k_{3} = \frac{7}{2}$

Since $k_{1} = k_{2} = k_{3}$ , the constant of proportionality is 3.5.

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3 years ago

HELP PLEASE ASAP

kondaur [170]

Answer: D. $3,450
Given: 2,500 shares of a stock bought for $8 a share
Probabilities: the stock will rise to a value of $32 a share is 22% the stock will fall to $3 a share is 78%
Question: What is the expected value of the investor’s profit from buying the stock?
Solution: (22%(32-8)-78%(8-3))2500
(.22(24)-.78(5))2500
(5.28-3.9)2500
(1.38)2500
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3 years ago

Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 1

quester [9]

Answer:

1610

Step-by-step explanation:

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3 years ago

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40% of 25 is?.. help!

antoniya [11.8K]

Answer:

40% of 25 is 10

Step-by-step explanation:

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The perimeter of a rectangle is 52 feet. The length is 2 more than twice the width. What is the length of the rectangle?

SashulF [63]

Answer: The Length of the rectangle is 18 feet.

The width is 8 feet

Step-by-step explanation: Perimeter is 2w + 2L

Length here is 2w + 2 Substitute this value for L in the equation.

P = 2w + 2L

52 = 2w + 2(2w + 2) distribute and add

52 = 2w + 4w + 4

52 = 6w + 4 Subtract 4 from both sides, Then divide both sides by 6 to solve for w

48 = 6w

8 = w The width is 8 ft

Substitute into the original expression for Length

Length here is 2w + 2 : 2(8) + 2 16 + 2 = 18

The Length is 18 feet.

Check: in the original equation P = 2w + 2L

52 = 2(8) + 2(18)

52 = 16 + 36 TRUE!

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