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zheka24 [161]
2 years ago
5

Write the set of real numbers x less than 6 in set builder notation

Mathematics
1 answer:
maksim [4K]2 years ago
6 0

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

  • x is a real number
  • x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

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drag the fractions that is equivalent to each repeating decimal each fractions may be used only once​
gregori [183]

Answer:

0.23 = 7/30

0.4 = 4/9

1.6 = 5/3

3.5 = 32/9

Step-by-step explanation:

I'm 100% that this is correct

6 0
2 years ago
A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.<br>​
REY [17]

2 weeks = 14 day

14 * 15 = 210 seconds

210/60=3 hours and 30 minutes or 3.5 hours.

8 0
2 years ago
365x + 125 = 250x + 175
maxonik [38]
First, set up the equation. 
365x + 125 = 250x + 175 

Second, combine like terms on the same side by subtracting 250x and 125 from both sides.

365x +125 = 250x + 175  
-250x  -125   -250x -125 
__________________
115x = 50

Third, divide both sides by 115 to solve for x.

115x = 50
----      ----
115     115 

Fourth, simplify. 

x=50/115=10/23 or 0.435

7 0
3 years ago
Guo Qi watches 151515 videos on Khan Academy every day. Each video is 888 minutes long on average. For how many days does Guo Qi
lozanna [386]

Answer:

Guo Qi requires 75 days to watch videos on Khan Academy.

Step-by-step explanation:

We are given the following in the question:

Number of videos watched by Guo Qi each day = 15

Average length of each video = 8 minutes

Total minutes of video = 9000 minutes

Total number of videos to be watched =

=\dfrac{\text{Total minutes}}{\text{Average length of video}}\\\\=\dfrac{9000}{8}=1125

Guo Qi needs to watch 1125 videos.

Number of days required =

=\dfrac{\text{Total number of videos}}{\text{Videos watched in one day}}\\\\=\dfrac{1125}{15}=75

Guo Qi requires 75 days to watch videos on Khan Academy.

6 0
2 years ago
if a pound of grapes cost $0.14 in 1960 and the price of grapes increased at the same rate as the CPI from 1960 to 1980 by appro
masya89 [10]

The CPI increased from 29.6 to 82.4.  

The rate of increase, is:

82.4/29.6 = 2.78

Now multiply this rate to the $0.14 price of grapes from 1960.

$0.14 x 2.78 = $0.39

Now to get the amount of increase subtract the new price from the original price:

$0.39 - $0.14 = $0.25 increase.

5 0
3 years ago
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