The number is: " -3 " .
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Explanation:
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Let "x" be the "unknown number" for which we are to solve.
8x − (-54/9) = -18 ; Solve for "x" ;
→ 8x − (-6) = - 18 ;
→ 8x + 6 = - 18 ;
Subtract "6" from each side of the equation:
→ 8x + 6 − 6 = - 18 <span>− 6 ;
to get: 8x = -24 ;
Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the equation ; & to solve for "x" ;
8x / 8 = -24 / 8 ;
to get: x = -3 .
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The number is: " -3 " .
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P needs to be something that is multiplied through 5-2n to equal 5/6-1/3n. Since you see that there is a 5 of somesort in both equations an easy place to start is simply making p=1/6. Once you do that then 5*1/6=5/6 so the first part is okay. Then 2n*1/6=2n/6 which is able to be reduced to n/3.
Based on this it is clear that p should equal 1/6.
The answer to the question is 25%
Option D: 3.47*10^-7 is the correct answer
Step-by-step explanation:
In order to determine the number written in standard scientific notation, first of all we have to understand how the scientific numbers are written
the scientific numbers are written in the form of:

Here
a is a number between 1 and 10 while the value of n can be only integer (positive or negative)
so,
In the given options:
Option A has a number larger than 10 in place of a so it is not in standard notation
Option B has a number less than 1 in place of a so it is also not in standard notation
Option C has a number larger than 10 in place of a so it is not in standard notation
Option D is in standard scientific notation as 1<3.47<10 and the power of 10 is integer
Hence,
Option D: 3.47*10^-7 is the correct answer
Keywords: Scientific notation, exponents
Learn more about scientific notation at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.
10/ sqrt(2) = 7.1 is the rounded answer.
to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)