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anzhelika [568]
2 years ago
5

We can find a system of congruences where x≡a (mod 4) x≡b (mod 5) where the solution is x≡7 (mod 20).

Mathematics
1 answer:
Nonamiya [84]2 years ago
8 0

If x ≡ 7 (mod 20), then

x ≡ 7 ≡ 27 ≡ 47 ≡ 67 ≡ 87 ≡ … (mod 20)

or equivalently, x = 7 + 20k for some integer k.

Taken mod 4, we have

x ≡ 7 + 20k ≡ 3 (mod 4)

and mod 5,

x ≡ 7 + 20k ≡ 2 (mod 5)

so that a = 3 and b = 2.

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Which fraction has repeating decimal as it’s decimal expansion
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Step-by-step explanation:

The definition of a repeating decimal is a fractional number in which one or more numbers after the decimal point repeats indefinitely. The fractional representation of 1/3, which is . 3333333 (with the 3 repeating forever) is an example of a repeating decimal.

7 0
3 years ago
Write two verbal expressions for n-5
sukhopar [10]

A number less than five

OR

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The perimeter of a rectangular garden is 37.5 feet (ft). The width is x and the length is 15 ft. What is the width, in feet, of
nikitadnepr [17]

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the width is 22.5 ft

Step-by-step explanation:

8 0
3 years ago
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SIMPLE! 30 POINTS AND I WILL GIVE BRAINLIEST
Serhud [2]
SOLUTION:

To begin with, let's establish the problem as the following:

5 + 7

An effective method to solve this problem would be to convert it into a visual representation in order to obtain a better understanding.

As attached in the diagram above, I have demonstrated the problem visually. The five red circles / dots represent the five in the problem whilst the 7 circles / dots represent the 7 in the problem. Now we must simply count each of the circles / dots to obtain the total number which would be our final answer.

We can also simply use our fingers on our hands to solve the problem by counting 5 on our fingers and then adding 7 or vice versa to obtain the final answer.

FINAL ANSWER:

Hence, through either of these two methods, we obtain the final answer to the problem as follows:

5 + 7 = 12

Hope this helps! :)
Have a lovely day! <3

4 0
3 years ago
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Luis has saved $14 for a skateboard that costs $52. He can use the equation 14+m=52 to find how much more money m he needs. How
emmasim [6.3K]

Answer:


Step-by-step explanation:

To solve this you just do 14 - 52 then you get 38. Make sure to check your work. 38 + 14 = 52.

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