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3 years ago

Which expression is equivalent to 1/3(12x+6x-21)

Mathematics

1 answer:

marin [14]3 years ago

4 0

Answer:

$6x-7$

Step-by-step explanation:

$\frac{1}{3} (12x + 6x -21)$

break it into pieces

$\frac{1}{3}*12x = 4x$

$\frac{1}{3}*6x=2x$

$\frac{1}{3} *-21=-7$

put it all together

*since there's no negative in front of the other numbers except 7 they're positive so you add them*

$4x + 2x - 7$

simplify

$6x - 7$

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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

Oscar saves 40% of his monthly check for college. He earned $450 last month. How much money did Oscar save for college?

Mrrafil [7]

Answer

It is $180

Step-by-step explanation:

You do 450 times 40% and you get $180

4 0

3 years ago

What is the value of x?

Mrrafil [7]

Answer:

Step-by-step explanation:

Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.

The ratios we will create will be $\frac{long}{short} =\frac{long}{short}$ where each long and short are corresponding sides from each triangle.

So write:

$\frac{4}{x} =\frac{3}{2.25}$

To solve, cross multiply numerator with denominator.

4(2.25) = 3(x)

9 = 3x

3 =x

5 0

3 years ago

The bristles on a Chinese writing brush are 70% rabbit hair and 30% goat hair. What fraction of the bristles is goat hair?

Nataliya [291]

30/100...because it says that it's 30 percent

5 0

3 years ago

Read 2 more answers

For every 30 minutes of tv airtime,there are 8 minute commercials.If 90 minutes of tv airtime are aired,how many minutes of comm

Alex777 [14]

Answer:

For 90 minutes of TV there will be 24 mins of commercials

Step-by-step explanation:

You start with 30 and keep adding 30 mins each time until you get to 90. (So..30..60..90) each time you add 30mins you add 8 more minutes to the commercials)

30 mins tv----8mins commercials

60 mins tv----16mins commercials

90 mins tv----24mins commercials

Hope this helps, good luck!

8 0

4 years ago