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jeka57 [31]
3 years ago
11

The round off value of 10256/32548 upto three decimal placesIs​

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0

Answer:

0.315

Step-by-step explanation:

10256/32548 is about 0.3151 (I used calculator)

0.3151 rounded to thousandth place is 0.315

Remember the rule when round, 5 and above, up, below 5, stay the same.

The number after 5 in 0.3151 is 1 and 1 is less than 5, so the 5 stays the same.

<em>Hope I was able to help! Good Luck!</em>

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Answer:

-3/4x

Step-by-step explanation:

down 3 left 4 rise/run

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How to solve this problem
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You're going to use cross multiplication.
1 gal x 21 miles = 25miles x x
21 miles = 25x
Divide each side by 25 to get x alone
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3 years ago
Carson is going on a work trip. He will get reimbursed for his expenses for
aleksley [76]

The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Carson is going on a work trip. He will get reimbursed for his expenses for driving his own car.

He will get a flat rate of 30, plus $1.25 per mile (m) he drives.

The equation formed;

R = 30 + 1.25m

The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.

Learn more about equations here;

brainly.com/question/10413253

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8 0
1 year ago
The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where
svlad2 [7]

Answer:

f(x) = -1

g(x) =6

\frac{-1}{2x + 3} + \frac{6}{3x + 7}

Step-by-step explanation:

The question is unreadable, however the real polynomial is:

The polynomial fraction is:

P = \frac{9x + 11}{6x^2 + 23x + 21}

And the decomposition is:

\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

The solution is as follows:

P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

Substitute the expression for P

\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

Expand the numerator of the polynomial

\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}

Take LCM

\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}

Cancel out both denominators

9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)

Represent f(x) as A and g(x) as B

9x + 11} = A*(3x + 7) + B*(2x + 3)

Open bracket

9x + 11} = 3Ax + 7A + 2Bx + 3B

9x + 11} = 3Ax + 2Bx+ 7A  + 3B

9x + 11} = (3A + 2B)x+ 7A  + 3B

By comparison:

3A + 2B = 9 ---- (1)

7A  + 3B =11 ---- (2)

Make B the subject in (1)

B = \frac{9 - 3A}{2}

Substitute B = \frac{9 - 3A}{2} in (2)

7A + 3(\frac{9 - 3A}{2}) = 11

Multiply through by 2

2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2

14A + 3(9 - 3A) = 22

14A + 27 - 9A = 22

Collect Like Terms

14A - 9A = 22-27

5A = -5

A = \frac{-5}{5}

A = -1

Recall that:

B = \frac{9 - 3A}{2}

B = \frac{9 - 3 * -1}{2}

B = \frac{9 + 3}{2}

B = \frac{12}{2}

B = 6

A = -1 and B = 6

3A + 2B = 9 ---- (1)

7A  + 3B =11 ---- (2)

So:

f(x) = A

f(x) = -1

g(x) =B

g(x) =6

And the decomposition is:

\frac{-1}{2x + 3} + \frac{6}{3x + 7}

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Answer:

18/30 = 9/15 = 3/5

Step-by-step explanation:

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