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Ulleksa [173]
1 year ago
8

Which of these nonterminating decimals can be converted into a rational number?

Mathematics
1 answer:
VARVARA [1.3K]1 year ago
7 0

The non-terminating decimal that can be converted into a rational number is given by:

0.321321321.

<h3>What are rational and irrational numbers?</h3>

  • Rational numbers are numbers that can be represented by fractions, with examples such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.
  • Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots, and the most common example of an irrational number is the number pi = 3.1415....

In the context of this problem, we are given four non-terminating decimal numbers, in which the only one with a repeating decimal pattern is:

0.321321321...

In which the pattern is:

321.

Hence the number can be written as the following rational number = fraction:

321/999.

With 999 being due to the fact that the repeating pattern is composed by three digits.

More can be learned about rational numbers at brainly.com/question/12088221

#SPJ1

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Round 78500 to the nearest thousand. Enter your answer in the box below<br> without a comma.
Svetllana [295]

Answer:

79000

Step-by-step explanation:

The 8 is in the thousands place.  We look at the hundreds place

5 is in hundreds place.  It is 5 or greater so we round up

The 8 becomes a 9

78500 becomes 79000

5 0
4 years ago
I need to find the mean and the mode. What is the mode?
denis-greek [22]
1, 1,1,1, 2,4,4,6,7\\\\mean= \frac{1+1+1+1+ 2+4+4+6+7}{9} = \frac{27}{9} =3\\\\9:2=4.5 \ \ \ \Rightarrow\ \ \ mode=x_5=2\\---------------------\\\\1, 1,1,1, 2,3,3,4,6,8\\\\mean= \frac{1+1+1+1+ 2+3+3++4+6+8}{10} = \frac{30}{10} =3\\\\10:2=5 \ \ \ \Rightarrow\ \ \ mode= \frac{x_5+x_6}{2} = \frac{2+3}{2} =2.5
6 0
3 years ago
Read 2 more answers
Help ASAP anyone pls!!!
marishachu [46]

Answer:

8 1/4

Step-by-step explanation:

3/4= 9in

11/12= 11in

9x11=99 in

99/12=8.25

8 1/4

8 0
3 years ago
Solve the following system of equations:<br> y = 5/4x - 2<br> y = -1/4x + 19<br><br> x = ? and y = ?
Dmitry [639]

Answer:

1. y= 5 /4 x −2

2.x=−4y+76

4 0
3 years ago
Read 2 more answers
Select the two values of x that are roots of this equation.<br> 2x2 + 11x+15= 0
USPshnik [31]

Answer:

The two values of x are -2.5 and -3

Step-by-step explanation:

we have

2x^{2}+11x+15=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

a=2\\b=11\\c=15

substitute in the formula

x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}

x=\frac{-11(+/-)\sqrt{1}} {4}

x=\frac{-11(+/-)1} {4}

x_1=\frac{-11(+)1} {4}=-2.5

x_2=\frac{-11(-)1} {4}=-3

therefore

The two values of x are -2.5 and -3

6 0
3 years ago
Read 2 more answers
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