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Aleksandr-060686 [28]
3 years ago
9

Show me how to change this decimal to a fraction.

Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

98/99

Step-by-step explanation:

0.98 (both the 9 and 8 repeat)

0.98 (both \:  the  \: 9  \: and  \: 8  \: repeat) =  0.\overline{98}   \\ let \: x = 0.\overline{98}...(1) \\ multiply \: both \: side \: of \: eq \: (1) \: by \: 100 \\ 100x = 98.\overline{98}...(2) \\ equation \: (2) - equation \: (1) \\ 100x - x = 98.\overline{98} - 0.\overline{98} \\ 99x = 98 \\ x =  \frac{98}{99}  \\   \implies  \huge \red{0.\overline{98}} =  \orange{\frac{98}{99}}

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A market researcher selected 400 people at random from a group of people who indicated that they liked a certain comic book. The
natta225 [31]

Answer:

Most people who like the comic book will like the television series.

Step-by-step explanation:

The result says that 90% of the people who likes the comic book also likes the television series which indicates that most people who liked the book will also like the television series.

8 0
3 years ago
The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?
UNO [17]

Answer:

$156.86

Step-by-step explanation:

136.40 multiplied by .15 equals 20.46

136.40 plus 20.46 equals 156.86

5 0
4 years ago
A person jogs 780 meters south and
givi [52]

Answer:

24.8 degrees

Step-by-step explanation:

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3 0
3 years ago
What us the equation of the line that has a slope of 0 and passes though the point (4,22)
Brums [2.3K]
Point-slope form: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

Data:
(4,22)
m=0

y-22=0(x-4)
y-22=0
y=22  (slope intercept form)

Answer: the line will be: y=22


7 0
4 years ago
A flying cannonball’s height is described by formula y=−16 <img src="https://tex.z-dn.net/?f=%20t%5E%7B2%7D%20" id="TexFormula1"
Morgarella [4.7K]
Y = -t ^ 2 + 300t - 16
 We find the first derivative and calculate its roots.
 We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
 f '' (a) <0 is a relative maximum
 f '' (a)> 0 is a relative minimum

 y '= - 2t + 300 = 0
 -2t + 300 = 0
 t = 300/2 = 150

 y'' = - 2
 y'' (150) = - 2 (is a relative maximum)

 the highest point of the trajectory is reached for t = 150s.
 The height for that time is
 y = - (150) ^ 2 + 300 (150) - 16 = 67484
 
 answer
 67484
 t = 150s.


4 0
3 years ago
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