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3 years ago

Solve the rational equation 1/x-2 - 1/x+3 =1/5

Mathematics

1 answer:

Degger [83]3 years ago

8 0

Answer:

x=0

Step-by-step explanation:

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Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can?

Naddika [18.5K]

Check the picture below.

so, a cone, that fits inside the cylinder, will have the same height "h" and radius "r". Thus

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad \boxed{\pi r^2 h}=15
\\\\\\
\textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\boxed{15}}{3}$

8 0

3 years ago

Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen

seropon [69]

The equation be 50x = 17 then the value of x = 17/50.

<h3>How to find the value of x?</h3>

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Let the equation be 50x = 17

Diving both sides of the equation by 50, we get

50x/50 = 17/50

x = 17/50

Therefore, the value of x = 17/50.

To learn more about the expression refer to:

brainly.com/question/723406

#SPJ4

3 0

2 years ago

Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou

mixer [17]

Let x = speed of the first car

the second car is 12 km slower so the seconds car speed is x-12

they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)

they drove 360 km
so you have 2x + 2(x-12) = 360
solve for x

2x+2(x-12) = 360

2x + 2x-24 = 360

4x-24 = 360

4x = 384
x = 384/4
x = 96

1st car drove at 96 km per hour

slower car drove at 96-12 = 84 km per hour

5 0

3 years ago

Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data. 111, 68, 93, 88, 74

lilavasa [31]

Answer:

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

Step-by-step explanation:

Given the data:

111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112

Ordered data : 68, 74, 84, 87, 88, 88, 93, 102, 105, 111, 112, 115, 119, 151, 152

Sample size, n = 15

The first quartile, Q1 = 1/4(n+1)th term

Q1 = 1/4(15+1)th term

Q1 = 1/4(16) = 4th term

Q1 = 87

The Median , Q2 = 1/2(n+1)th term

Q2 = 1/2(15+1)th term

Q2 = 1/2(16) = 8th term

Q2 = 102

The third quartile, Q3 = 3/4(n+1)th term

Q3 = 1/4(15+1)th term

Q3 = 3/4(16) = 12th term

Q3 = 115

The interquartile range, IQR = Q3 - Q1

IQR = (115 - 87) = 28

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

4 0

3 years ago

Suppose y varies directly with x, and y = -4 when x = 25. What is x when y = 10? SHOW ALL YOUR WORK HERE OR YOU WON'T GET CREDIT

Stolb23 [73]

Answer:

x = -62.5

Step-by-step explanation:

y = kx

-4 = k(25)

k = -4/25

y = (-4/25)x

10 = (-4/25)x

x = 10 × 25/-4

x = -62.5

6 0

2 years ago