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Gnesinka [82]
3 years ago
5

When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is a

lso 3. What is the remainder when y is divided by 19?A. 0B. 1C. 2D. 3E. 4
Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

A) 0

Step-by-step explanation:

When x is divided by 11, we have a quotient of y and a remainder of 3

x/11 = y + 3

x = 11y + 3 ........(1)

When x is divided by 19, we have a remainder of 3 also

x/19 = p + 3 (p = quotient)

x = 19p + 3 ..........(2)

Equate (1) and (2)

x = 11y + 3 = 19p + 3

11y + 3 = 19p + 3

11y = 19p + 3 -3

11y = 19p

Divide both sides by 11

11y/11 = 19p/11

y = 19p/11

y and p are integers. 19 is a prime number. P/11 is also an integer

y = 19(integer)

This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0

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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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vagabundo [1.1K]

Answer:

4.123 units

Step-by-step explanation:

Data provided:

Coordinates of point 1 as ( 4 , 2)

and,

Coordinates of point 2 as ( 0 , 1 )

Now,

The distance between the two point whose coordinates are given is calculated using the formula as:

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

on substituting the values, we get

distance = \sqrt{(0-4)^2+(1-2)^2}

or

distance = \sqrt{(-4)^2+(-1)^2}

or

distance = \sqrt{16+1}

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6 0
3 years ago
Can you help me please ​
Readme [11.4K]

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The area of the white triangle in the sector has area 1/2*9.28^2*sin(68.9)= 40.17223(rounding to 5 digits again for some accuracy.

Now we take out the white triangle from the sector.

51.78005-40.17223=11.60782

rounding to the nearest tenth we get 11.6 cm^2

Problem done!

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5 0
3 years ago
Which expressions are equivalent to 4m + 12? Choose ALL that apply.<br>​
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Option 1:

4(m + 12) = 4m + 48 (not what we want)

Option 2:

6m - 2m + 12 = 4m + 12 (one of the right answers)

Option 3:

4(m + 3) = 4m + 12 (one of the right answers)

Option 4:

3m - m + 12 = 2m + 12 (not what we want)

Therefore the correct answers are Option 2 and Option 3.

6 0
2 years ago
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klasskru [66]

Answer:

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Step-by-step explanation:

31 - 7= 24

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17 - 7= 10

We subtract 7 from 31 to get 24. We subtract 7 from 24 to get 17. We subtract 7 from 17 to get 10.

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3 years ago
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