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serg [7]
3 years ago
9

1/3(z+4)-6=2/3(5-z)​

Mathematics
2 answers:
kvv77 [185]3 years ago
7 0

Answer:

z=8

Step-by-step explanation:

1/3*(z+4)-6=2/3*(5-z)

distribute 2/3 through the parenthesis

1/3z+4/3-6=10/3-2/3z

calculate the difference

1/3z-14/3=10/3-2/3z

multiply both sides of the equation by 3

z-14=10-2z

move variable to the left and change sign

z+2z=10+14

collect like terms

3z=24

divide both sides by 3

z=8

lara [203]3 years ago
5 0

Answer:

If solving for z, z=8

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LUCKY_DIMON [66]
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3 years ago
To which set or sets does -20 belong to, Whole numbers, Rational Numbers or Integers
Shtirlitz [24]
-20 is all of those. It's also a real number and a negative number.
5 0
4 years ago
Read 2 more answers
F(x) = 2x^2 + 6x – 4<br> g(x) = 5x^3 – 6x^2-3<br><br> Find (f +g)(x).
kogti [31]

Answer:

  • 5x^3 - 4x^2 + 6x - 7

Step-by-step explanation:

<u>Given</u>

  • f(x) = 2x^2 + 6x – 4
  • g(x) = 5x^3 – 6x^2-3

<u> To find </u>

  • (f +g)(x)

<u>Solution</u>

  • (f +g)(x) = f(x) + g(x) =
  • 2x^2 + 6x - 4  + 5x^3 - 6x^2 - 3  =
  • 5x^3 - 4x^2 + 6x - 7
6 0
3 years ago
A company rents out 15 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $3 per day. The
mash [69]

Answer:

2,750+170d

Step-by-step explanation:

Calculation to Enter and simplify an expression for the amount in dollars that the company is paid

First step

Let d represent numbers of day

15(100+3d)

Second step is the Expression for the food booths

25(50+5d)

Third step is Expression for the game booths

15(100+3d)+25(50+5d)

Fourth step is the Expression for both game and food booths

15*100+15*3d+25*50+25*5d

=1,500+45d+1,250+125d

Fifth step is to make use of distributive Property

1,500+1,250+45d+125d

Last step is to make use of cumulative property

(1,500+1,250)+(45d+125d)

=2,750+170d (combine like terms)

Therefore expression for the amount in dollars that the company is paid is 2,750+170d

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3 years ago
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Answer:

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