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vivado [14]
3 years ago
9

The algebraic expression for​ "the quotient of 73 and​ x" is

Mathematics
1 answer:
lyudmila [28]3 years ago
3 0

Answer

it could be 73/x

Step-by-step explanation:

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4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

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3 years ago
How many 34 foot pieces of string can be cut from a 5 foot piece of string?<br><br> *plz answer ASAP
anygoal [31]
6 the remainder is 4
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3 years ago
What is the surface area of this right prism?<br><br> Enter your answer in the box.<br><br> cm²
fomenos

Answer:

<h2>the answer is</h2><h2>166 cm²</h2>

Step-by-step explanation:

we know that

surface area of the prism=2*area of the base+perimeter of the base*height

step 1

find the area of the base

area of the base=length* width

length=5 cm

width=4 cm

area of the base=5*4-----> 20 cm²

step 2

find the perimeter of the base

perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm

step 3

height=7 cm

step 4

find the surface area

surface area of the prism=2*area of the base+perimeter of the base*height

surface area of the prism=2*20+18*7----> 166 cm²

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2 years ago
8+3n for n=6 help me please
MA_775_DIABLO [31]

Answer:

26

Step-by-step explanation:

8 + 3n

n = 6

8+3(6)

= 8 + 16

= 26

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3 years ago
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