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tatuchka [14]
3 years ago
8

When a positive integer k is divided by 6, the remainder is 1. what is the remainder when 5k is divided by 3?

Mathematics
1 answer:
Nady [450]3 years ago
7 0
k\equiv1\mod6\implies k=6n+1 for some integer n.

5k=5(6n+1)=30n+5
\implies5k\equiv30n+5\equiv3(10n)+5\equiv5\equiv2\mod3
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How to simplify /-7-1/
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-8

Step-by-step explanation:

you only have to add -1 to -7

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pedro is staying at a hotel whose location is a reflection across the x axis of the museum's location.What are the coordinates o
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Why is the product of a rational number and an irrational number irrational?
tangare [24]

Answer:

Step-by-step explanation:

When you multiply and irrational by a rational, you are doing nothing to change the nature of an irrational number. The two numbers have different kinds of properties and though a multiplication can be indicated, there is no way you can change the properties of an irrational number with a rational.

Their properties just do not mix.

It is like take a solvent and mixing it with something that is not a solvent. You cannot do anything to anything to the insolvent to make it solvent simply by adding more. Their properties remain in tact.

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6 0
3 years ago
Read 2 more answers
Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.
Ainat [17]

Answer: Angles are (\frac{1080}{11}) ^{\circ} and (\frac{900}{11})^{\circ}

Step-by-step explanation:

Here, the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.

Let the  angles formed by diagonals and the sides of the rhombus are 6x and 5x.

Where x is any number.

Thus, By the property of rhombus,

Diagonals perpendicularly bisect each other.

Therefore, 6 x + 5 x + 90^{\circ} = 180^{\circ}

⇒ 11 x + 90^{\circ} = 180^{\circ}

⇒ 11 x = 90^{\circ}

⇒ x = \frac{90}{11}

Therefore, the  angles formed by diagonals and the sides of the rhombus are (\frac{540}{11} )^{\circ} and (\frac{450}{11})^{\circ}

⇒ The angles of rhombus are  (\frac{1080}{11} )^{\circ} and  (\frac{900}{11})^{\circ}


7 0
4 years ago
Lin’s family has completed 40% of a trip. They have traveled 80 miles. How far is the trip?
Elena L [17]

Answer:

200 miles

Step-by-step explanation:

80 = 40% of the trip

Divide 40% and 80 by 10

40% / 10 = 4

80 / 10 = 8

8 = 4% of the trip

100 / 4 = 25

8 x 25 = 200

The trip is 200 miles.

3 0
3 years ago
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