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Gwar [14]
3 years ago
10

Someone Please Help Me With This n _ = 1 6 3

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

n=48

Step-by-step explanation:

n  

_ = 1 6

3

Multiply each side by 3

n/3 * 3 = 16*3

n = 48

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At a certain company, the annual winter party is always held on the second of Friday of December. What is the latest possible da
vitfil [10]

Answer:

The latest possible date is December, 14th.

Step-by-step explanation:

Notice that the second Friday of December is n+7, where n is the date for the first Friday of December. So, the latest the first Friday, the latest the second. As the weeks have seven days, the first Friday will be between 1st and 7th of each month. So, the latest first Friday will be 7th. Therefore, the latest second Friday will be 14th.

7 0
3 years ago
After filling a gas tank the odometer read 39.007.2 after the next filling it read 39.469.2 it took 17.5 gal to fill the tank, h
Nastasia [14]
(39,469.2 - 39,007.2)/17.5 will give you miles per gallon
The total miles driven were 462 miles/17.5 gal = 26.4 miles per gallon
3 0
3 years ago
Describe the following variation: y/x2=5
Firdavs [7]
We are asked to describe the variation \displaystyle{ \frac{y}{x^2}=5, 

that is y=5x^2

for x≠0, in which case x=y=0, we distinguish the following intervals:

I   = (-infinity, -1]
II  = (-1, 0)
III = (0, 1)
III = [1, infinity)

Case I, consider the cases (examples)   x= -5, and x= -6

5(-6)^2\ \textgreater \ 5(-5)^2, so we can conclude that the greater the x, the smaller the y.

Case II, consider x= -1/2 < x=-1/3

5(-\frac{1}{2})^2= \frac{5}{4}\\\\ 5(-\frac{1}{3})^2= \frac{5}{9}\\\\\frac{5}{9}\ \textless \  \frac{5}{4}

thus, the greater the x, the smaller the y.


Case III, consider the cases (examples)   x= 5, and x= 6

5(6)^2\ \textgreater \ 5(5)^2, so we can conclude that the greater the x, the greater the y.

Case III, consider x= 1/3 < x=1/2

5(\frac{1}{2})^2= \frac{5}{4}\\\\ 5(\frac{1}{3})^2= \frac{5}{9}\\\\\frac{5}{9}\ \textless \ \frac{5}{4}

thus, the greater the x, the greater the y.


Conclusion:

y=0 only if x is 0. Otherwise y>0 always:

for x<0,   x and y are inversely proportional

for x>0,   x and y are directly proportional.


Remark, an other possible consideration in cases could be x<0 and x>0 only.


Remark, 
another approach is considering the graph of y=5x^2, which is a parabola, with the vertex at (0, 0) opening upwards.

From the graph we can find the same conclusion. That is we can see that the farer we get away from the y-axis, in both direction, the larger the values of y become.

4 0
3 years ago
Find the volume of the figure. A rectangular prism is shown. The length is labeled 5 meters. The width is labeled 10 meters. The
nataly862011 [7]

Answer:

2?

Step-by-step explanation:

3 0
2 years ago
MARKING AS BRAINLIEST!! (Geometry)
lana [24]

Answer:

x = 15.49

Step-by-step explanation:

As you can see this is a right-angled triangle due to the right angle symbol, we can use Pythagorean theory to find the unknown length:

a^2 + b^2 = c^2

In this case, we know C and B but not A so:

a^2 = c^2 - b^2

Now plug the values in:

a^2 = 16^2 - 4^2

a^2 = 256 - 16

a^2 = 240

Square root the answer to get A:

a = \sqrt{240}

a = 15.49

x = 15.49

Hope this helps!

5 0
2 years ago
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