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Arte-miy333 [17]
3 years ago
10

Order each set of measures from greatest to least 1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft 2) 2 lb, 891 g, 1 kg, 0.02 T 3) 1 1/4 c, 0.

4 L, 950 mL, 0.7 gal 4) 4.5 ft, 48 in., 1.3 m, 120 cm
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Step-by-step explanation:

1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

0.6 in = 1.524 cm

0.031 m = 3.1 cm

0.1 ft = 3.048 cm

The order is given as;

0.031 m > 0.1 ft > 0.6 in > 1.2 cm

2) 2 lb, 891 g, 1 kg, 0.02 T

2 lb = 907.185 g

1 kg = 1000 g

0.02 T = 20000 g

The order is given as;

0.02 T >  1 kg > 2 lb > 891 g

3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal

0.4 L = 400 mL

0.7 gal = 2649.79 mL

11/4 c = 650.6177 mL

The order is given as;

0.7 gal > 11/4 c > 950ml > 0.4 L

4) 4.5 ft, 48 in., 1.3 m, 120 cm

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

4.5 ft = 137.16 cm

48 in = 121.92 cm

1.3 m = 130 cm

The order is given as;

4.5 ft > 1.3 m > 48 in > 120 cm

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From the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Any number that can be written in the form of p/q, where p and q are integers, and q ≠ 0, are called rational numbers.

All terminating and non-terminating recurring decimals are rational numbers.

All the numbers that cannot be represented in the rational form of p/q are irrational numbers.

All non-terminating non-recurring decimals are irrational.

All square roots of imperfect square numbers, that is, surds, are irrational numbers.

In the question, we are asked to classify the given list of numbers into rational and irrational numbers.

  • 5.737737773...: It is an irrational number, since its a non-terminating non-recurring decimal.
  • 26: It is rational as it can be represented in the p/q form (26/1).
  • √45: It is irrational as it is a square root of an imperfect square number, that is, it is a surd.
  • -3/2: It is rational as it is in the form p/q.
  • 0: It is rational as it can be represented in the p/q form (0/1).
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Thus, from the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Learn more about rational and irrational numbers at

brainly.com/question/14994517

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The provided question is incorrect. The correct question is:

Joaquin writes the following list of numbers.

5.737737773..., 26, √45, -3/2, 0, 9.

Which numbers are rational?

Which numbers are irrational?

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Step-by-step explanation:

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This is an arithmetic sequence with the common difference being 1

and if u have 1 cent on day 1 and 2 cents on day 2....then on day 40, u would have 40 cents....but we need the sum of all the days..

the sum of an arithmetic sequence can be found using the formula :
sn = n(a1 + an) / 2
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now we sub
s(40) = 40(1 + 40) / 2
s(40) = 40(41)/2
s(40) = 1640/2
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Answer:

0.58 rounded to the nearest hundredths

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Answer:

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Step-by-step explanation:

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