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svp [43]
3 years ago
10

Hey! How do I write 0.29 (both 2 and 9 are recurring) as a fraction?

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0
Hi there!

Since a decimal is a portion of 1 we can simply put a 100 in the denominator to form it into a fraction.

By doing this, we get the fraction 29/100.

Since there is no simplifying we can do for the fraction this is it's final form!

Your answer would be 0.29 = 29/100.
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Answer: 46°

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3 years ago
Solve and graph the compound inequalities. (You don’t need to graph it on a line plot but if you could that would be great!)
lidiya [134]

Part A

-12 < 5x - 2 < 13\\\\-12+2 < 5x - 2+2 < 13+2 \ \text{ ... add 2 to all sides}\\\\-10 < 5x  < 15\\\\-10/5 < 5x/5  < 15/5 \ \text{ ... divide all sides by 5 to isolate x}\\\\-2 < x  < 3\\\\

To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.

See figure 1 below.

===============================================

Part B

Solve the first inequality to get

3x < -9\\\\3x/3 < -9/3\\\\x < -3\\\\

Now solve the second inequality

2x \ge x+1\\\\2x-x \ge x+1-x\\\\x \ge 1\\\\

We have x < -3 \ \text{ or } \ x \ge 1

The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.

See figure 2 below.

4 0
2 years ago
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 12 in., 24 in., 48 in.B. 12 in., 6 in
bearhunter [10]
C. And it would be a equilateral
5 0
3 years ago
Read 2 more answers
Someone please help:)
Georgia [21]
I guess it's the first dia. which is not intersecting....
3 0
3 years ago
He list shows the growth in centimeters of 12 plants during one week. 6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14 Which box plot best
kumpel [21]

Answer:

Step-by-step explanation:

Hello!

You have the growth of 12 plants over a week (cm)

To construct a box plot you have to identify the 1st, 2nd, and 3rd Quartiles for the box and the maximum and minimum values for the whiskers.

Box

1st Quartile (Q₁)

Is the value of the data set that separates the bottom 25% from the top 75%. First, you need to calculate its position:

PosQ₁= n/4= 12/4= 3

So the first quartile is the third value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₁= 7

2nd Quartile/ Median (Q₂/Me)

PosMe= 12/2= 6

The second quartile in the 6th value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₂=Me= 8

3rd Quartile (Q₃)

PosQ₃= n*(3/4)= 12*(3/4)= 9

The third quartile is the 9th value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₃= 10

The left whisker extends from the Q₁ to the minimum value.

The right whisker extends from the Q₃ to the maximum value.

Min= 6

Max= 14

'------|     |      |-------'

6     7    8    10    14

The box plot that best displays a summary of the data, is C.

I hope this helps!

3 0
4 years ago
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