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3 years ago

Rationalize the denominator of the fraction and enter the new denominator below.

Mathematics

1 answer:

Margarita [4]3 years ago

7 0

Answer:

7/19

Step-by-step explanation:

7/19=square root of 11=22-3 19

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I am thinking of a number. My number is between 20 and 30 My number and 12 have only one common factor. What number could I be t

zhannawk [14.2K]

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

$12= 2^2(3)$

So, now, we need 3 numbers that are <u>between 20 and 30 and that only have one common factor with 12</u>, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

$21= (7)(3)$ , we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

$22=11 (2)$ , thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

$26= 13 (2)$ , thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

7 0

3 years ago

Two thousandths in decimal

Sholpan [36]

decimal tenths hundredths thousandths

.002

8 0

3 years ago

Read 2 more answers

Identify the class width, class midpoints, and class boundaries for the given frequency distribution.

Crank

Answer:

a. Class width=4

Class midpoints

46.5

50.5

54.5

58.5

62.5

66.5

70.5

Class boundaries

44.5-48.5

48.5-52.5

52.5-56.5

57.5-60.5

60.5-64.5

64.5-68.5

68.5-72.5

Step-by-step explanation:

There are total 7 classes in the given frequency distribution. By arranging the frequency distribution into the refine form we get,

Class

Interval frequency

45-48 1

49-52 3

53-56 5

57-60 11

61-64 7

65-68 7

69-72 1

Class width is calculated by taking difference of consecutive two upper class limits or two lower class limits.

Class width=49-45=4

The midpoints of each class is calculated by taking average of upper class limit and lower class limit for each class.

$M=\frac{lower class limit+upper class limit}{2}$

Class

Interval Midpoints

45-48 $\frac{45+48}{2}=46.5$

49-52 $\frac{49+52}{2}=50.5$

53-56 $\frac{53+56}{2}=54.5$

57-60 $\frac{57+60}{2}=58.5$

61-64 $\frac{61+64}{2}=62.5$

65-68 $\frac{65+68}{2}=66.5$

69-72 $\frac{69+72}{2}=70.5$

Class boundaries are calculated by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class interval.

Class

Interval Class boundary

45-48 44.5-48.5

49-52 48.5-52.5

53-56 52.5-56.5

57-60 56.5-60.5

61-64 60.5-64.5

65-68 64.5-68.5

69-72 68.5-72.5

7 0

3 years ago

Your job pays you $9.25/hr

BigorU [14]

I believe it would be $107.32 because each week he earns $138.75 then when you take away the income tax, social security, and your Medicare you have 107.32 dollars left.
$138.75 - 22.65% = 107.32 (Also 22.65 is all of the percent added together, sorry if I'm wrong).

5 0

3 years ago

Which is greater 9,000cm or 2 km

pashok25 [27]

The 2 km is bigger than 9,000 cm because the 9,000 will equal 0.09 in km

5 0

3 years ago

Read 2 more answers

Rationalize the denominator of the fraction and enter the new denominator below.​

Rationalize the denominator of the fraction and enter the new denominator below.