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Ludmilka [50]
3 years ago
14

Please help me with this.... 4x+3=23​

Mathematics
1 answer:
MArishka [77]3 years ago
6 0

Answer:

x=5

Step-by-step explanation:

23-3= 4x or 20

that means 4x is equal to 20

20 divided by 4 is 5

so x is equal to 5

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Find the smallest positive $n$ such that \begin{align*} n &\equiv 3 \pmod{4}, \\ n &\equiv 2 \pmod{5}, \\ n &\equiv
Alex777 [14]

4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number x such that taking it mod 4, 5, and 7 leaves the desired remainders:

x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6

  • Taken mod 4, the last two terms vanish and we have

x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4

so we multiply the first term by 3.

  • Taken mod 5, the first and last terms vanish and we have

x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5

so we multiply the second term by 2.

  • Taken mod 7, the first two terms vanish and we have

x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7

so we multiply the last term by 7.

Now,

x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147

By the CRT, the system of congruences has a general solution

n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}

or all integers 27+140k, k\in\mathbb Z, the least (and positive) of which is 27.

3 0
3 years ago
Please help i love u
OLEGan [10]

helped.

This answer was fact checked as TRUE by independent fact checkers

8 0
3 years ago
Round 1.961 to the nearest tenth.
I am Lyosha [343]

Answer:

2.0

Step-by-step explanation:

To round 1.961 to the nearest tenth consider the hundredths’ value of 1.961, which is 6 and equal or more than 5. Therefore, the tenths value of 1.961 increases by 1 to 0.

1.961 rounded to the nearest tenth = 2.0

HOPE IT HELPS

6 0
3 years ago
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hoa [83]

Answer:

113.04

Step-by-step explanation:

Our formula for this circle is 3.14x6^2(6x6) and our formula is 3.14xr^2 so it equals 113.04

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Nana76 [90]

V = 4/3 pi r^3

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r^3 = 729

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Answer

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7 0
3 years ago
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