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pychu [463]
4 years ago
5

List 2 integers that are congruent to 4 modulo 14.

Mathematics
1 answer:
vivado [14]4 years ago
7 0

Answer:

32, 46

Step-by-step explanation:

Remember, a is congruent to b modulo d if d divides a-b.

Now, the problem says that b=4 and d=14.

Let a=32. Observe that a-b=28 and \frac{28}{14}=2, then 32 is congruent to 4 modulo 14.

Let a=46. Observe that a-b=46-4=42 and \frac{42}{14}=3, then 46 is congruent to 4 modulo 14.

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Answer: three pieces.

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Thus, he cuts a piece of wood that is 3/4 inches long into 1/4 inch pieces.

1 goes into 3 three times, so the piece of wood can be cut into three 1/4-inch pieces.
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3 years ago
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Estimate the Value Of Each Expression to the nearest integer .
omeli [17]

Answer:

see below

Step-by-step explanation:

14. We can represent 1 as √1 and 2 as √4 and because 1 < 3 < 4, we know that √3 is in between 1 and 2. However, 3 is closer to 4 than it is to 1 so √3 is about 2.

15. Again, 3 is √9 and 4 is √16. 9 < 10 < 16 so √10 is in between 3 and 4, however, since 10 is closer to 9 as it is to 16, we know that √10 is about 3.

16. -4 = -√16 and -5 = -√25, since 16 < 22 < 25, we know that -√22 is in between -4 and -5 but 22 is closer to 25 so the answer is -5.

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5 0
3 years ago
A unit rate is a rate in which A one of the quantities is 1. B the quantities add up to 1. C both of the quantities are 1. D nei
poizon [28]

Answer: A. because it is the only one that makes sense, the unit rate is where the second quantity is one unit: etc. 1 minute=60 seconds1 hour=60 minutes (or) 3600 seconds1 day=24 hours (or) 1440 minutes.

7 0
3 years ago
The ratio of a number and 18 is equal to the difference of a number squared and 5
boyakko [2]

Answer:

The number is 2.26

Step-by-step explanation:

Let The given numbers be x

Now according to question :

x : 18 = x² - 5

I.e x = 18 × (  x² - 5 )

or, x = 18 ×  x²  - 90

or, 18 x²  - x - 90 = 0

Or, From quadratic equation , the value of x

 x = \frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

Or, x = \frac{+\pm \sqrt{-1^{2}-4\times 18\times -90}}{2\times 18}

Or, x = \frac{1\pm \sqrt{6481}}{36}

So, x = \frac{1\pm 80.50}{36}

∴  x  = \frac{81.50}{36} = 2.26

Hence The number is 2.26  Answer

8 0
3 years ago
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