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Anna71 [15]
3 years ago
15

If light travels about 3 x 10^5 kilometers per second, about how many kilometers does it travel in one day? Write the answer in

scientific notation.
Mathematics
1 answer:
Dovator [93]3 years ago
6 0
<h2>Answer:   2.59 × 10¹⁰ kilometers/day</h2>

<h3>Step-by-step explanation:</h3>

Since there are 86400 seconds / day

& light travels at 3 x 10⁵ kilometers / second

Then kilometers the light travels in a day

  = (86400 seconds / day) × (light travels at 3 x 10⁵ kilometers / second)

  = 2.59 × 10¹⁰ kilometers/day

<u></u>

<u></u>

<u>Note:</u>

<em>We know that we have to multiply because the unit 'seconds per day' has the seconds in the numerator, while the unit 'kilometer per second' has the seconds in the denominator, so to cancel we would have to multiply. This gives us the unit we are looking for 'kilometeres per day'.</em>

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forty percent of participants in a math contest were boys. fifty percent of the boys revived medals. the number of boys who rece
aleksklad [387]

20% of the participants are girls and got a medal, and 33% of the girls got a medal.

<h3>What percent of the participants were girls who received medal?​</h3>

First, we know that 40% of the participants were boys, so the other 60% were girls.

We know that 50% of the boys got a medal, so the percentage (in decimal form) of participants that are boys and got a medal is:

P = (0.4)*(0.5) = 0.2

So, 20% of the participants are boys and got a medal.

We know that the number of girls that got a medal is the same as the number of boys, then we also have that 20% of the participants are women who got a medal.

Then if the percentage of girls that got a medal is x (in decimal form), we must have that:

Q = (0.6)*(x) = 0.2

      x = 0.2/0.6 = 0.33

x = 0.33

This means that 33% of the girls got a medal.

If you want to learn more about percentages:

brainly.com/question/843074

#SPJ1

3 0
1 year ago
nicole is taking a train yo Washington DC.The train travels 234 miles in 4 1/2 hours.Express this relationship as a unit rate
Ivenika [448]

Answer:

52 miles per hour.

Step-by-step explanation:

Divide 234 by 4.5, as that is what you must divide 4.5 by to get 1.

234/4.5 = 52 miles per hour.

8 0
3 years ago
The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are R
Ilia_Sergeevich [38]

Answer:

The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

Step-by-step explanation:

Let us suppose that,

R = Republicans

D = Democrats

I = Independents.

X = a member favors some type of corporate tax reform.

The information provided is:

P (R) = 0.27

P (D) = 0.56

P (I) = 0.17

P (X|R) = 0.34

P (X|D) = 0.41

P (X|I) = 0.25.

Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

P(X)=P(X|R)P(R)+P(X|D)P(D)+P(X|I)P(I)\\= (0.34\times0.27)+(0.41\times0.56)+(0.25\times0.17)\\=0.3639

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.

Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

P(D|X)=\frac{P(X|D)P(D)}{P(X)} =\frac{0.41\times0.56}{0.3639}=0.6309

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

5 0
3 years ago
Alberto uses 3/5 of a bag of seeds on 2 acres of land. How many bags of seeds will Alberto use if he has 16 acres of land?
Genrish500 [490]

Answer:

A lot

Step-by-step explanation:

Maths

3 0
3 years ago
Every round in a competition costs 30 diamonds and you get 10 shards. How many diamonds will it cost you to reach 1,024 shards?
Firdavs [7]

Answer:

3,090 diamonds

Step-by-step explanation:

To get 10 shards, you need to spend 30 diamonds.

First thing we need to find, how many rounds you need to play to get 1,024 shards if in each round you win 10 shards?

1,024/10 = 102,4

But you can not play 102.4 rounds, you only can play whole numbers, so we need to round it to the next whole number (not the previous one, because in that case, we would get less than 1,024 shards)

Then you need to play 103 rounds.

And each round costs 30 diamonds, then the total number of diamonds that you need is:

103*30 diamonds = 3,090 diamonds

3 0
2 years ago
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