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djverab [1.8K]
3 years ago
9

Help with this please​

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0
Where is your question?
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Suppose we have four integers, no two of which are congruent $\pmod 6$. Let $N$ be the product of the four integers. If $N$ is n
aalyn [17]

Answer:

4

Step-by-step explanation:

Given:

A, B, C, D have distinct positive values for mod 6

A (mod 6) = 1

B (mod 6) = 2

C (mod 6) = 4

D (mod 6) = 5

Each mod 6 value cannot be a zero since the product ABCD is not a multiple of 6.

Furthermore, in order that ABCD mod 6 > 0, we cannot  have a residue equal to 3, else the product with a residue 2 or 4 will make the product a multiple of 6.

Thus the only positive residues can only be 1,2,4,5

A*B*C*D  (mod 6) > 0  = 1*2*4*5 (mod 6) = 4

4 0
3 years ago
Determine how many solutions exist for each system of equations y=3x+3 and 3x-y=2
miskamm [114]
666 is haw many 666 to 666 and 666
3 0
3 years ago
What is the solution to this system of equations graphed?
Levart [38]

Answer:

(2,-2)

Step-by-step explanation:

The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.

Hope this helps! Best of luck!

6 0
3 years ago
Mr. Logan spent 14 cents at the hardware store buying nails and screws. Nails cost 2 cents, and screws cost 1 cent. If Mr. Logan
Ede4ka [16]

Answer:

5 nails and 4 screws

Step-by-step explanation:

Make it into an expression where N= amount of nails bought and S= amount of screws bought. Then set it equal to the amount he paid.

ie: 2n+1s=14

Now make another equation for how many he bought.\

ie: n+s=9

Now subtract one of the letter variables from the second equation to get one on alone.

ie: n=9-s

Now, since you have a value for N, substitute it for the value in the original equation so that there's only one variable.

ie: 2(9-s)+1s=14

Now solve for S.

ie: 18-2s+s=14

ie: -s=-4

ie: s=4

Now you have a number value for S that you can plug in the original equation to find the value of N.

ie: 2n+4=14

ie: 2n=10

ie: n=5

Now plug in your values for N and S into the original equation to check it. Your answer is 5 nails and 4 screws.

6 0
3 years ago
What is the slope of a line that passes through points (2,17) and (3,24)?
insens350 [35]

Slope: \frac{y2-y1}{x2-x1}

= \frac{24 - 17}{3 - 2} = \frac{7}{1} = 7

Slope = 7

Happy to help!

3 0
3 years ago
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