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solong [7]
3 years ago
13

When 5655 is divided by a positive two digit intreger "N" the remainder is 11, when 5879 is divided by the same intreger N the r

emainder is 11.
What is the sum of the digits of N ?
Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer:

8

Step-by-step explanation:

Hi,

When we divide 5655 by N, we get remainder of 11, which means that 5655-11 is a multiple of N.

5655 - 11 = 5644 is a multiple of N.

Similarly, 5879-14 should be a multiple of N.

5879 - 14 = 5865 is a multiple of N.

Because 5644 and 5865 are both multiples of N, their difference must be a multiple of N.

5865 − 5644 = 221 then 221 is a multiple of N.

We have three number of which N can be a multiple of, however we choose to factorize the smallest possible number amongst these three, which is 221. (This is only for simplification of the solution, smaller the number, less the factors)

221 : 1, 13, 17, 221.

There are only two two - digit factors: 13 and 17.

We divide 5865 and 5644 by both numbers.

\frac{5865}{13} = 451.15 \\\frac{5865}{17} = 345 \\\frac{5644}{13} = 434.15 \\\frac{5644}{17} = 332\\

Looking at these results, we know only 17 divides all three numbers.

Hence N=17.

The sum of both digits will be: 1 + 7 = 8

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Answer:

19/9

Step-by-step explanation:

16/27^2/3=19/9

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8 0
3 years ago
A rectangle has a length of (x+10) centimeters and a width of x centimeters. If the perimeter is 32 centimeters, what is the len
I am Lyosha [343]

Given:

Length of rectangle = (x+10) cm

Width of the rectangle = x cm

Perimeter = 32 cm

To find:

The length of the rectangle.

Solution:

We know that,

Perimeter=2(l+w)

Where, l is length and w is width.

Substituting the values, we get

32=2((x+10)+x)

32=2(2x+10)

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Subtract 20 from both sides.

32-20=4x

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Divide both sides by

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So, the length is

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Therefore, the length of the rectangle is 13 cm.

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3 years ago
I would appreciate if someone could help me with this problem and answer it I will give you a brainlist :)
aev [14]
To me from the picture, all sides look the same. so I’m guessing it’s probably 11
8 0
3 years ago
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9+3|5-x|=24<br><br> What is the lines for and how do I solve X with them?
Ivahew [28]

Answer:

the lines represent absolute value bars

x=0,10

Step-by-step explanation:

STEP 1: Move all terms not containing |5−x| to the right side of the equation.

3|5-x|=15

STEP 2: Divide each term by 3 and simplify.

|5-x|=5

STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

<em>5-x=±5</em>

STEP 4: Set up the positive portion of the ± solution.

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STEP 5: Solve the first equation for x.

x=0

STEP 6: Set up the negative portion of the ± solution.

5-x=-5

STEP 7: Solve the second equation for x.

x=10

NOTE: The solution to the equation includes both the positive and negative portions of the solution.

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