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mash [69]
3 years ago
10

How many three-digit positive integers

class="latex-formula"> satisfy 3874x+481\equiv 1205 \pmod{23}
Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

  40

Step-by-step explanation:

Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.

As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.

_____

The equation reduces, mod 23, to ...

  10x = 11

Its solutions are x = 23n +8.

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20 points!! Type the correct answer in the box. Use numerals instead of words. What value of n makes the equation true? -1/5n+7=
vredina [299]

Hey there! :)

Answer:

\huge\boxed{n = 25}

-1/5n + 7 = 2

Start by subtracting 7 from both sides:

-1/5n + 7 - (7) = 2 - (7)

-1/5n = -5

Multiply both sides by the reciprocal of -1/5, or -5.

(-5) · (-1/5n) = (-5) · (-5)

n = 25

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3 years ago
The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = ?
dolphi86 [110]
The denominator of a fraction cannot be zero.Therefore in h(x) = f(x)/g(x), g(x) cannot equal zero, x + 6 cannot equal zero, x cannot equal -6. The domain of h(x) is ℜ - {-6}.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
4 0
3 years ago
What is 9/7 as a mixed number
Dafna11 [192]
9/7 as a <span>mixed number is 1 2/7</span>
3 0
3 years ago
Read 2 more answers
I need help pleasssss
Yakvenalex [24]

Answer:

  3)  16.2

Step-by-step explanation:

The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:

  CB/CD = CF/CA

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  CB = 16.2

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When given two "point-to-point" triangles like this, quite often there is some sort of similarity relationship involved. First, you need to figure out what it is; then you need to make use of it as needed to answer the question being asked.

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Ray MN and ML are two sides of an angle. What is a name of this angle?
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