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mash [69]
2 years ago
10

How many three-digit positive integers

class="latex-formula"> satisfy 3874x+481\equiv 1205 \pmod{23}
Mathematics
1 answer:
Anastaziya [24]2 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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Write the equation of the line fully simplified slope-intercept form.​
FinnZ [79.3K]

Answer:

y=-4/10x+ 5 or y=-0.4x+5

Step-by-step explanation:

The formula for slope is y=mx+b. The "m" is the slope, the "x" is constant, and "b" is your y-intercept.

1. Figure out your slope:

Easiest way to do this is by using rise/run. You. take your point to the left and count how many spaces up or down it is from the second point, and then repeat that across the x-axis.

2. Determine whether it is positive or negative

A line with a positive slope is going to be angled upward and a line with a negative slope will be angled downward

3. Find the y-intercept

Simply look at the graph and find where the line crosses the y-axis

4. Plug everything into the equation

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7 0
2 years ago
What is 1 + 57 = ?<br><br> help this is hard!
blagie [28]

Answer:

58 LOL or is it 109? I don't know it's too hard for me to figure out but I think it's 58

6 0
1 year ago
Read 2 more answers
Sam uses 2/3 cup of sugar to make cookies. How many cups will Sam use to make five batches. Write your answer in two ways. Impro
frosja888 [35]

Answer:

Improper fraction = 10/3 cups

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Step-by-step explanation:

Given;

Sam uses 2/3 cup of sugar to make cookies

Rate = 2/3 cup per batch

To make 5 batches, he would need;

Amount = number of batches × rate per batch

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Amount of sugar he would need = 10/3 or 3 1/3 cups

4 0
2 years ago
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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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5 0
3 years ago
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