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elena55 [62]
3 years ago
9

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

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

<u> </u><u>N</u><u>e</u><u>g</u><u>a</u><u>t</u><u>i</u><u>v</u><u>e</u><u> </u><u>rational</u><u> </u><u>number</u><u> </u> :

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

<u> </u><u>Positive</u><u> </u><u>rational</u><u> </u><u>numbers</u><u> </u> :

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.

8 0
3 years ago
HELP PLEASE ASAP
kondaur [170]
Answer: D. $3,450
Given: 2,500 shares of a stock bought for $8 a share
<span>Probabilities:  the stock will rise to a value of $32 a share is 22%</span>  <span>                                                the stock will fall to $3 a share is 78%</span>
<span>Question: What is the expected value of the investor’s profit from buying the stock?</span>
Solution: (22%(32-8)-78%(8-3))2500
                (.22(24)-.78(5))2500
                (5.28-3.9)2500
                (1.38)2500
                3450
8 0
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:

6 0
3 years ago
Read 2 more answers
40% of 25 is?.. help!
antoniya [11.8K]

Answer:

40% of 25 is <u>10</u>

Step-by-step explanation:

4 0
3 years ago
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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 <u>2w + 2</u>   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  <u>The width is 8 ft</u>

Substitute into the original expression for Length

Length here is <u>2w + 2</u> :  2(8) + 2   16 + 2 = 18

<u>The Length is 18 feet.</u>

<u>Check:</u>   in the original equation P = 2w + 2L

52 = 2(8) + 2(18)

52 = 16 + 36  TRUE!

3 0
3 years ago
Read 2 more answers
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