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Debora [2.8K]
1 year ago
8

Converting between scientific notation and standard form in a real-world situation

Mathematics
1 answer:
Lisa [10]1 year ago
4 0

Answer:

\begin{gathered} a)9.54\times10^6\text{square miles} \\ b)0.0061\sec onds_{} \end{gathered}

Explanations:

a) The scientific notation is generally expressed as;

A\times10^n

A is any real numbers between 1 and 10

n is an integer

Given that the total surface area of North America is 9,540,000 square miles. This is expressed in scientific form as;

9,540,000=9.54\times10^6mi^2

From the scientific notation, A = 9.54 and n = 6

b) Given the scientific notation as shown:

6.1\times10^{-3}\text{seconds}

Writing in standard form means writing in the normal way we write numbers/decimals. Hence;

6.1\times10^{-3}=0.0061\text{seconds}

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3 years ago
Create a word problem add and subtraction
MrMuchimi

Answer:

If oscar had 3 apples then he took 2 from Tim and gave 1 to Mike.How many apples does he have?

Step-by-step explanation:

3 0
3 years ago
F(x) = 2x – 2 g(x)= x² + 3x<br> Find (f.g) (2)
Alex_Xolod [135]

Answer: 18

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6 0
3 years ago
A mixture of 17 %disinfectant solution is to be made from 10% and 20% disinfectant solution. How much of each solution should be
8090 [49]
Since 20 total gallons are needed, the amount of 10% solutions can be x and the amount of 20% solutions can be (20-x) since they add up to 20. In addition, the 17% solution has 20 gallons. Putting this into an equation, we get that 10% is 0.1 (by moving the decimal 2 spots to the left) , 0.2=20%, and 0.17=17%. With that information, we can determine that 10%*x+20%*(20-x)=20*0.17 due to that with 20 gallons of the 27% solution, we need a certain amount of solution. For every gallon, we add 0.17 of the solution, so we have 20*0.17. Similarly, we want that total amount to be represented by the amount of 20% + the amount of 10%.

0.1x+0.2(20-x)=0.1x+4-0.2x=-0.1x+4 using the distributive property
-0.1x+4=20*0.17=3.4. Subtract 4 from both sides to get -0.1x=-0.6, and multiply both sides by -10 (to separate x) to get x=6. Therefore, the amount of 10% solution is 6 gallons and the amount of 20% solution is 20-5=14 gallons
3 0
3 years ago
Please help me with this questions and please shoe your work. Thank you very much
Katena32 [7]
D
E
F


Work
So the answer to the original problem:
6-4.5 +(-8) equals -1.5
D,E,and F all yeild this answer.

Another way to do it is to simply rearrange the equation 

D:
6-4.5 +(-8)
6-4.5-8
your just removing the parenthesis and swapping the sign

E:
6+(-4.5) -8
is the exact same as
6-4.5 +(-8)
you're just moving the parenthesis

F:
This one you're just adding a parenthesis and flipping the of
6-4.5 +(-8)
which turns it into
6+(-4.5)+(-8)

Hope this helps!

6 0
3 years ago
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