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stellarik [79]
3 years ago
12

On June 19, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share w

as
$33.99. After the split, Keisha received a check for a fractional part of a share. What was the amount of that check?
Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

?

Step-by-step explanation:

on content

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Find X- Y if X= 1/4 and Y= -X <br><br> A) 1/3<br> B) 1/2<br> C) -1/3<br> D)-1/2
77julia77 [94]

Answer:

Step-by-step explanation:

x = 1/4

y = -x = -1/4

x-y=\frac{1}{4}-(-\frac{1}{4})\\\\=\frac{1}{4}+\frac{1}{4}\\\\=\frac{1+1}{4}\\\\=\frac{2}{4}\\\\=\frac{1}{2}

6 0
3 years ago
The product of two consecutive integers is equal to 14 more than 4 times the sum. This can be simplified to x²-7x-18=0. What are
WITCHER [35]

Answer:

-1 and -2, or 9 and 10

Step-by-step explanation:

If x is the smaller integer:

x (x + 1) = 14 + 4 (x + x + 1)

x² + x = 14 + 4 (2x + 1)

x² + x = 14 + 8x + 4

x² − 7x − 18 = 0

Factor using AC method:

(x − 9) (x + 2) = 0

x = -2 or 9

x is the smaller integer, so the larger integers are -1 and 10.  Check each pair of solutions.

-1 and -2:

(-2) (-1) = 14 + 4 (-2 + -1)

2 = 14 + 4 (-3)

2 = 2

9 and 10:

(9) (10) = 14 + 4 (9 + 10)

90 = 14 + 4 (19)

90 = 90

Both solutions work.

7 0
3 years ago
In a pen of goats and chickens there are 25 heads and 90 feet. How many goats and chickens are in the pen.
Anna [14]

Answer:

5 chickens, 20 goats

Step-by-step explanation:

We can set up two equations and use substitution

There are 25 total goats and chickens, so

G + C = 25

Goats have 4 feet and chickens have two, so

4G + 2C = 90\\

By solving for G in the first equation,

G = 25 - C\\

We can now use substitution,

G = 25 - C\\4G + 2C = 90\\4(25 - C) + 2C = 90\\100 - 4C + 2C = 90\\-2C = -10\\C = 5\\

We have 5 chickens, so we have 20 goats.

Let's double check:

5(2) + 20(4) = 90\\10 + 80 = 90\\90 = 90\\

It checks out!

3 0
4 years ago
Identify the closest perfect squares less than and greater than the radicand below, respectively.
wariber [46]
It would be A because they’re both perfect squares
3 0
3 years ago
Graphing/Slopes (Easy points!!) (ASAP) (URGENT) (Please check my other questions)<br><br>​
spin [16.1K]

Answer:

The statement is incorrect because an inverse relationship between y and x would imply that the graph would be a downward curved graph whose slope changes rather than linear which has constant slope  (see image).

Best to express this situation as:
There is a linear relationship between y and x with a negative constant slope. The keyword here is constant since the slope is the same in a linear relationship

Step-by-step explanation:

An inverse relationship exists between y and x when y is proportional to the reciprocal of y

This would be expressed in the form y ∝ \frac{1}{x}

As x decreases , y increases or vice-versa. It is often expressed in equation form as y=\frac{k}{x}  or y = kx^{-1}   where k is a constant and  whose graph is curved in nature. The slope is changing for the range of x values not constant as would be the case for a linear graph

All we can say about the data is that there is a linear relationship between y and x  with a negative constant slope

4 0
2 years ago
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