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vekshin1
2 years ago
11

The sum of 6 consecutive integers is 204. what is the fourth number in this sequence?

Mathematics
1 answer:
zloy xaker [14]2 years ago
8 0

Let x by the smallest of the 6 integers. Then

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=204

\implies6x+15=204

\implies6x=189

But 189 is odd, so it cannot be divisible by 6, which means x is not an integer...

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Answer:

6cm

Step-by-step explanation:

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<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

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Step-by-step explanation:

16.

points are (0,-3),(2,1),(4,-3)

eq. of line through (0,-3) and (2,1) is

y+3=\frac{1+3}{2-0}(x-0)

or y+3=2x

2x-y=3

as the line is dotted so either < or >.

consider 2x-y>3

put x=0,y=0

0>3

which is not possible .

(0,0) does not satisfy the inequality

Hence shaded region is the required region.

now eq of line through (2,1)and (4,-3) is

y-1=\frac{-3-1}{4-2}(x-2)

y-1=-2(x-2)

y-1=-2x+4

2x+y=5

it is also a  dotted line so either < or >

consider 2x+y<5

put x=0,y=0

0<5

which is true.

so (0,0) satisfy this inequality.

so the two inequalities are

2x-y>3

and 2x+y<5

17.

consider the points (0,4),(2,3),(4,4)

eq. of line through (0,4) and (2,3) is

y-4=\frac{3-4}{2-0}(x-0)

y-4=-1/2(x)

2y-8=-x

or x+2y=8

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consider x+2y≥8

put x=0,y=0

0≥8

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put x=0, y=0

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5 0
3 years ago
What is the first step when solving the equation below for x?
arsen [322]

Step-by-step explanation:

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transposing 0.2 to RHS

=> 4x =0.9-0.2 => 4x=0.7

transposing 4 to RHS

=> x=0.7÷4

=> x=0.175

if it helps plzz mark it as brainliest

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