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2 years ago

Is 9/81 a rational number? why or why not.

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

4 0

Answer:

9/81=1/9 The fraction 1/9 is a rational number. All rational numbers can be written as a fraction showing the relationship between two integers.

Step-by-step explanation:

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Tony wants to plant no more than 400 acres of corn and soybeans. He earns $300 per acre of soybeans and $200 for corn. He needs

inna [77]

In this item, we let x be the number of corns and Y represent soybeans. The sum of these variables is 400. This is represented by the equation,
x + y = 400
The amount that needs to be earn by Tony is then represented by,
200x + 300y ≥ $60,000

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2 years ago

If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

8 0

2 years ago

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of thr

Rina8888 [55]

Answer:

3 - (n - 1) = 1/2(3n - 4)

Step-by-step explanation:

We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.

Let the number be n.

The first part is: three minus the difference of a number and one:

3 - (n - 1)

The second part is: one-half of the difference of three times the same number and four:

1/2(3n - 4)

Now, let us equate the first and second parts:

3 - (n - 1) = 1/2(3n - 4)

PS: I really do not understand the options

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1 year ago

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A grocery store is selling 90 fl. oz of detergent for $6.99. To the nearest cent, what is the unit price?

Ganezh [65]

Answer:

Step-by-step explanation:

6.99 - 6 = 0.99

8 - 6.99 = 1.01

1.01>0.99

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2 years ago

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Steve stayed after school for extra activities 55% of the 180 school days this year. How many days did Steve stay after school?

musickatia [10]

Answer:

11/20 or 99/180 days

Step-by-step explanation:

55/100 converted to ?/180

180/100=1.8

so you would do the same on the numerator which is 55*1.8=99

99/180= 33/60=11/20

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1 year ago