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3 years ago

7/18 ratio in simplest form

Mathematics

1 answer:

mel-nik [20]3 years ago

4 0

It can go to 3.5/9 but thats as low as it can go

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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

3 years ago

When the radius of a sphere is doubled, what is the resulting change in volume? A) The original volume is doubled. B) The origin

kobusy [5.1K]

Answer:

Step-by-step explanation:

The volume (V) of a sphere is calculated using the formula

V = $\frac{4}{3}$ πr³

If the radius is doubled, that is r = 2r , then

V = $\frac{4}{3}$ π (2r )³

(2r)³ = 8r³, thus the volume is multiplied by 8

5 0

3 years ago

christina wants to buy a coach bag that normally costs $450. It goes on sale at a 15% discount. What is the amount of money bein

schepotkina [342]

Answer:

67.50

Step-by-step explanation:

100%-> 450

15%-> 67.50

3 0

3 years ago

What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34

Galina-37 [17]

Answer:

3135

Step-by-step explanation:

Givens

a1 = 6

Use t4 - t3 to get d

t4 = 27

t3 = 20

Step One

Find a1 and d

a1 = 6

d = t4 - t3

d = 27 - 20

d = 7

Step Two

Find the 30th Term

tn= a1 + (n -1 )*d

t30 = 6 + (30 - 1) * 7

t30 = 6 + 29*7

t30 = 6 + 203

t30 = 209

Step Three

Find the sum using Sum = (a + t30)*n/2

n = 30 given

a1 = 6 given

t30 = 209 calculated from step 2

Sum = (a1 + t30)*n/2 Substitute

Sum = (6+ 209)*30/2 Combine like terms and divide by 2

sum = 215 * 15 Multiply

Sum = 3135 Answer

4 0

3 years ago

XYZ is a dilation of triangle ABC by a scale factor of 5. Which of the following proportions verified that triangle ABC and XYZ

Dima020 [189]

Answer:

C. AB/XY = AC/XZ

Step-by-step explanation:

Dilation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.

In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.

So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:

AB/XY = AC/XZ = BC/YZ = 5

5 0

4 years ago

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