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sammy [17]
3 years ago
7

How many positive integers satisfy 127=7 (mod n)? n=1 is allowed.

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0
127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.
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1/2 of lla's workspace is covered in paper.1/3 of the paper is covered in yellow sticky notes.What fraction of lla's workspace i
Blababa [14]

Answer:

\frac{1}{6}

Step-by-step explanation:

We have been given that 1/2 of Ila's work-space is covered in paper.1/3 of the paper is covered in yellow sticky notes.

First of all, we will draw a model to represent our given information as shown in the attached image.

To find the fraction of Ila's work-space that is covered in yellow sticky notes, we need to find 1/3 of 1/2 as:

\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{2}\times \frac{1}{3}

\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{2\times 3}

\text{Ila's work-space that is covered in yellow sticky notes}=\frac{1}{6}

Therefore, \frac{1}{6} of Ila's work-space is covered in yellow sticky notes.

3 0
4 years ago
Does anyone know the answer please help!!
Dimas [21]
The correct answer is x= 94
3 0
2 years ago
19=p-12 does that equal 29,30,31?​
Likurg_2 [28]
19+12=p-12+12
So the answer will be 31=p.
8 0
3 years ago
2 Juste ou non ?
Dennis_Churaev [7]

Answer:

Son résultat est faux parce que son numéro est peut-être mal numéroté ou parce qu'il utilise une solution différente.

Step-by-step explanation: S'il vous plait brainliest!

4 0
3 years ago
Read 2 more answers
(15 points)
Maslowich

Answer:

Each of the legs of isosceles right triangle is 5\sqrt{3}

Step-by-step explanation:

Watch the attached figure for the isosceles right angled triangle

Looking at the figure we see that AB=5√6 and BC=CA

According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.

1) Applying the Pythagorean theorem to the isosceles right triangle, we have

BC^{2} + CA^{2} = AB^{2}

2) Let BC=a and CA=a as they both are equal

So,

a^{2} + a^{2} = (5\sqrt{6} )^{2}

=> 2a^{2} = (5\sqrt{6} )(5\sqrt{6} )

=> 2a^{2} = 5*5*\sqrt{6}*\sqrt{6}

=> 2a^{2} = 25*6 (since √6*√6 = (√6)²= 6)

=> 2a^{2} = 150

3) Dividing both sides by 2, we get

\frac{2a^{2} }{2} =\frac{150}{2}

4) Cancelling out the 2's on the left, we get

a^{2} = 75

5) Taking the square root on both sides, we have

\sqrt{a^{2}} = \sqrt{75}

=> a = 5\sqrt{3}

So,

Each of the legs of isosceles right triangle is 5\sqrt{3}



6 0
3 years ago
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