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ddd [48]
2 years ago
10

Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54

Mathematics
1 answer:
telo118 [61]2 years ago
7 0

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
  • B. 6x = 84  
  • D. x = 14

Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

6x - 6(5) = 54

6x - 30 = 54

Add 30 to both sides

6x - 30 + 30 = 54 + 30

6x = 84

Divide both sides by 6

6x/6 = 84/6

x = 14

Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
  • B. 6x = 84  
  • D. x = 14

Learn more on equations here; brainly.com/question/2972832

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Simora [160]

Answer: 220.5 ft^2

Step-by-step explanation:

You separate it into shapes and sum the area of those. I made a triangle 15 by 15, a rectangle 4 by 15, a smaller rectangle 4 by 10, and a triangle 4 by 4

6 0
2 years ago
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The number of kilograms of water in a human body varies directly as the mass of the body. An 87​-kg person contains 58 kg of wat
katen-ka-za [31]

Answer:

50 kg water.

Step-by-step explanation:

We have been given that the number of kilograms of water in a human body varies directly as the mass of the body.

We know that two directly proportional quantities are in form y=kx, where y varies directly with x and k is constant of variation.

We are told that an 87​-kg person contains 58 kg of water. We can represent this information in an equation as:

58=k\cdot 87

Let us find the constant of variation as:

\frac{58}{87}=\frac{k\cdot 87}{87}

\frac{29*2}{29*3}=k

\frac{2}{3}=k

The equation y=\frac{2}{3}x represents the relation between water (y) in a human body with respect to mass of the body (x).

To find the amount of water in a 75-kg person, we will substitute x=75 in our given equation and solve for y.

y=\frac{2}{3}(75)

y=2(25)

y=50

Therefore, there are 50 kg of water in a 75​-kg person.

3 0
3 years ago
Pleasee someone help
nexus9112 [7]

Answer:

x= -6

Step-by-step explanation:

-2x-14=-2

We move all terms to the left:

-2x-14-(-2)=0

We add all the numbers together, and all the variables

-2x-12=0

We move all terms containing x to the left, all other terms to the right

-2x=12

x=12/-2

x=-6

   

5 0
3 years ago
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Solve the systems of equations by substitution.<br> 2x+y=-2<br> 3x-y=7
lukranit [14]

Answer:

To solve the system of equations by substitution:

<u>2x+y=-2</u>

<u>3x-y=7</u>

first solve for y:

2x+y=-2

y=-2x-2

Then plug ^^ equation for y in the other equation

3x-(-2x-2)=7

5x+2=7

5x=5

x=1

Then solve for y:

2(1)+y=-2

y=-4

Final answer is x = 1 and y = -4

Hope it helps!

5 0
2 years ago
(6.253•10^-2)(7.112x10^3) in scientific notation
zlopas [31]

Answer:

4.4471336 * 10^2.

Step-by-step explanation:

(6.253•10^-2)(7.112x10^3)

= 6.253*7.112 * 10^-2*10^3

= 44.471336 * 10^1

= 4.4471336 * 10^2.

7 0
3 years ago
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