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DaniilM [7]
3 years ago
14

1.) 5(X+6) + 11 = 25 - 3x solve it​

Mathematics
2 answers:
Sveta_85 [38]3 years ago
6 0

Answer:

x = -2

Step-by-step explanation:

Step 1: Write equation

5(x + 6) + 11 = 25 - 3x

Step 2: Solve for <em>x</em>

  1. Distribute 5 on both sides: 5x + 30 + 11 = 25 - 3x
  2. Combine like terms: 5x + 41 = 25 - 3x
  3. Add 3x to both sides: 8x + 41 = 25
  4. Subtract 41 on both sides: 8x = -16
  5. Divide both sides by 8: x = -2

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

5(-2 + 6) + 11 = 25 - 3(-2)

5(4) + 11 = 25 + 6

20 + 11 = 25 + 6

31 = 31

kirza4 [7]3 years ago
6 0

Answer:

x=-8

Step-by-step explanation:

5x+30+11=

5x +41= 25-3x

5x+ 41-25= 25-25-3x

5x+16=3x

5x-5x= 3x-5x

16=-2x

16/-2=x

-8=x

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Answer:

x<-3 or x>-1

Step by step explanation:

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What is the result of 8 2/8 - 6 5/8
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8 0
3 years ago
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Diagram shows the composite solid formed by a cuboid and a right prism. Trapezium LMNP is the uniform cross section of the prism
kherson [118]

Answer:

MN = 7 cm

Step-by-step explanation:

Well the volume we can separate into pieces

first the ABCDEFGH (? you know this cuboid)

which has a volume of

V = AB\cdot BC\cdot CH\\\\V = 3*6*(3+JY+4)

if you ask where does the 4 come from

it comes from LP = KB = YC and JY + YC =JC

so

V = 18(7+MX)

this is because JY = MX

the other volume is of BCNPKLXY (hope you understand which one)

and the volume is

V = BP*PN*NX\\\\V=8*6*4\\\\V = 192

and the last one is KYXLMJ (the top "triangle")

the volume is

V = \frac{LX*XM}{2}*LK\\\\V = \frac{6*MX}{2}*8\\\\V= 6*4*MX\\\\V=24MX

so now add them up

and has to equal 444

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and finally we know that MN = MX + XN = 3+4 = 7

so here is our answer MN = 7 cm

a couple of notes

1.\:\angle LXM = 90\\\\2.\:\angle KYX = 90

3. the units don't matter due to the fact that everything is in cm

4. see the picture below to get a better idea of which prism I am talking of

5. tell me if you have questions :D

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Step-by-step explanation:

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1 and a half

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