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astraxan [27]
3 years ago
15

What is the value of x?

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0
X=7 because it’s the closest
musickatia [10]3 years ago
6 0
X = 7. Because both lines equal the same so it has to equal 75
11 x 7 = 77
77-2 = 75
X = 7
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For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to
kiruha [24]

Answer:

D) 11/3

Step-by-step explanation:

Let x represent monthly salary.

We have been given that for each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity.        

Salary earned in 11 months would be 11x.

Money donated in 11 months would be \frac{11x}{10}.

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Salary for December would be Nx.

Money donated in December would be \frac{Nx}{5}.  

The worker's charitable contributions totaled one-eighth of his earnings for the entire year that is \frac{1}{8}\cdot (11x+Nx).

\frac{11x}{10}+\frac{Nx}{5}=\frac{1}{8}\cdot (11x+Nx)

Dividing whole equation by x, we will get:

\frac{11x}{10x}+\frac{Nx}{5x}=\frac{1}{8x}\cdot x(11+N)                

\frac{11}{10}+\frac{N}{5}=\frac{1}{8}\cdot (11+N)

\frac{11}{10}+\frac{N}{5}=\frac{11}{8}+\frac{N}{8}

Combine like terms:

\frac{N}{5}-\frac{N}{8}=\frac{11}{8}-\frac{11}{10}

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Therefore, the value of N is 11/3 and option D is the correct choice.

4 0
3 years ago
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