1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
laiz [17]
3 years ago
6

How would I solve 10095 m/s to miles/s?

Mathematics
2 answers:
FromTheMoon [43]3 years ago
6 0
There are 1600 metres in 1 mile, so 10095÷1600= 6.3 miles/s
almond37 [142]3 years ago
4 0

The equivalent of 10095 m/s is 6.2728 mi/s.

Further Explanation

To get the answer to this problem we use the conversion factor for meters to miles: 1609.34 m = 1 mi.

Setting up the dimensional analysis:

speed \ = 10095 \frac{m}{s} \times \frac{1 \ mi}{1609.34 \ m}\\

We put the number of meters in the numerator so that the unit (meter) may be cancelled.

By multiplying the given by the number of meters in mile, we arrive at the answer:

\boxed {\boxed {speed = 6.2728 \ \frac{mi}{s}}}

Since the given has 5 significant figures, the final answer must also have five significant figures.

Additional Example:

Sometimes the problem requires the conversion of both numerator and denominator. Below is a worked example for these kinds of question.

<em>The conversion factor relating miles to meters is 1mile=1610m. The speed of light is 3.00×108 m/s. How fast is this in miles per hour (miles/h)?</em>

The problem gives the conversion factor for miles to meter:

1 mi =1610 m

To convert the speed of light into the desired unit the following steps must be carried out:

  1. Convert meters to miles.
  2. Convert seconds to hours.

These conversion may be done individually or simultaneously in a single dimensional analysis equation. The equation below shows the simultaneous conversion in one equation:

speed \ of \ light = 3.00 \times 10^8 \ \frac{m}{s} \times \frac{1 \ mi}{1610 \ m} \times \frac{60 \ s}{1 \ min} \times \frac{60 \ min}{1 \ h}\\\\\boxed {speed \ of \ light = 6.71 \times 10^8 \ \frac{mi}{h}}

Since the answer must be expressed with only 3 significant figures, the final answer is:

Learn More

  1. Learn more about dimensional analysis brainly.com/question/1557970
  2. Learn more about unit conversion brainly.com/question/1600704

Keywords: miles, meters, conversion

You might be interested in
Change the following mixed expressions to fractions and then simplify the complex fractions.
Zielflug [23.3K]

Answer:

X=2

Step-by-step explanation:

6 0
2 years ago
What is the mixed number to 53/12
Virty [35]
The mixed number is 4 5/12.
6 0
3 years ago
What is the slope of the function
yuradex [85]
I’m not sure about the rest but the slope is 4 and the y intercept is 3.
6 0
3 years ago
Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they
siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

now, if 213.90 is the 115.%, what is "x"?  the 100%.


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x


so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended  up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}

7 0
3 years ago
Read 2 more answers
2+2=4 the wat does 50*1 equal
Rudiy27

Answer:

34

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression would the model be most helpful in solving 5/6
    13·2 answers
  • A mathematics professor lost a test paper belonging to one of her students. she remembered that the mean score for the class of
    10·1 answer
  • I'm a little confused. Please solve for p:<br>4p -6= 3 +4p​
    7·2 answers
  • Joe ate twice as many pieces of Halloween candy as Ed. Together they ate 48 pieces. How many pieces of candy did ed eat ?
    12·1 answer
  • I need this one, please
    12·1 answer
  • Using the slope formula find the slope of the line that passes through these points (2,5) and (8,-3)
    5·2 answers
  • 4y =<br> = -x + 16 and y=x+9
    5·1 answer
  • Amanda's parents invested $10,000 into a savings account for her college fund when she was born. The savings plan compounds inte
    5·1 answer
  • Slope = 1; y-intercept = -4<br> in slope intercept form
    14·2 answers
  • Can anyone help me pls ( I'll give brainliest)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!