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Yuki888 [10]
3 years ago
11

both m and n are integers. 5m 3n is divisible by 11.what is the remainder when 9m n is divided by 11?

Mathematics
1 answer:
Darya [45]3 years ago
4 0
Hello,

9m+n is divisible by 11 (remainder =0)

Since
5m+3n=11*k\\

m= \dfrac{11*k-3n}{5}\\

9m=9*\dfrac{11*k-3n}{5}\\

9m+n=9*\dfrac{11*k-3n}{5}+ \dfrac{5n}{5} \\

9m+n= \dfrac{99k-27n+5n}{5}\\

9m+n=11* \dfrac{9k-2n}{5}\\




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Solve the system of equations. y= x + 17, y= 3x+1
Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

7 0
3 years ago
Can I get some help please​
lys-0071 [83]

Answer:

C

Step-by-step explanation:

C is the right answer that you're looking for because the hundredth value in this number is 3 in 345 and the closest hundredth there is 300 so the number closest to hundredths is 2,684,300

7 0
3 years ago
Read 2 more answers
Please someone help I am so lost.
HACTEHA [7]
You'll have to do the actual multiplication here:

  3(n+2)(4n+1)         1        4n^2 + n + 8n + 2
 -------------------- = -----  *  ---------------------------
            6                   2                    1

or (1/2) (4n^2 + 9n + 2), which, after mult., becomes

(1/2)(4n^2) + (1/2)(9n) + 1


This simplifies to 2n^2 + (9/2)n + 1

Therefore, write (1/2) in the first box and (1) in the second box.
7 0
3 years ago
Calculate the straight line distance between the points (-10, -7) and (-8,1).<br> G.2(B)
tia_tia [17]

Answer:

2√(17) or about 8.2462 units.

Step-by-step explanation:

We want to determine the distance between the two points (-10, -7) and (-8, 1).

We can use the distance formula. Recall that:

\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substitute and evaluate:

\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}

Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.

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2 years ago
What is m in equation 2m=12
Likurg_2 [28]
M is equal to 6 because 6 times 2 would equal 12
7 0
3 years ago
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