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satela [25.4K]
3 years ago
10

25- (3x + 5) = 2(x+8) + x how do you do it step by step?

Mathematics
1 answer:
NemiM [27]3 years ago
7 0

Answer:

Simplifying

25 + -1(3x + 5) = 2(x + 8) + x

Reorder the terms:

25 + -1(5 + 3x) = 2(x + 8) + x

25 + (5 * -1 + 3x * -1) = 2(x + 8) + x

25 + (-5 + -3x) = 2(x + 8) + x

Combine like terms: 25 + -5 = 20

20 + -3x = 2(x + 8) + x

Reorder the terms:

20 + -3x = 2(8 + x) + x

20 + -3x = (8 * 2 + x * 2) + x

20 + -3x = (16 + 2x) + x

Combine like terms: 2x + x = 3x

20 + -3x = 16 + 3x

Solving

20 + -3x = 16 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

20 + -3x + -3x = 16 + 3x + -3x

Combine like terms: -3x + -3x = -6x

20 + -6x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0

20 + -6x = 16 + 0

20 + -6x = 16

Add '-20' to each side of the equation.

20 + -20 + -6x = 16 + -20

Combine like terms: 20 + -20 = 0

0 + -6x = 16 + -20

-6x = 16 + -20

Combine like terms: 16 + -20 = -4

-6x = -4

Divide each side by '-6'.

x = 0.6666666667

Simplifying

x = 0.6666666667

Step-by-step explanation:

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Two angles are supplementary. The first angle has 20 degreesmore the second angle. How ma y degrees are in each angle?
Vanyuwa [196]

Answer:

100 and 80

Step-by-step explanation:

Let x = be the first angle

x-20 is the second angle

They are supplementary so they add to 180

x+x-20 = 180

Combine like terms

2x-20 =180

2x-20+20 =180+20

2x= 200

Divide by 2

2x/2 = 200/2

x= 100

The first angle is 100 and the second is x-20

x-20 = 100-20=80

The two angles are 100 and 80

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Answer:

(2,5.5)

Step-by-step explanation:

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3:8 is the answer ….
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You are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 secon
AnnyKZ [126]

In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:

d = mt + b

d is the distance covered

t is the time taken

m is the speed

If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)

Get the slope of the line:

m = (9-30)/(2-5)

m = -21/-3

m = 7

Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b

9 = 7(2) + b

9 = 14 + b

b = -5

The required equation to plot will be expressed as y = 7t - 5

Plot the required graph

Learn more here: brainly.com/question/17003809

4 0
3 years ago
The perimeter of a rectangular garden is 290 feet. If the width of the garden is 62 feet, what is its length?
olga2289 [7]

Answer:

83

Step-by-step explanation:

Remember that the perimeter of a rectangle is two times the width plus two times the length. In other words:

2W + 2L = P

We know that the perimeter is 290 and the width is 62. We can plug these into the equation and solve for L.

2(62) + 2L = 290

124 + 2L = 290

Subtract 124 from both sides.

2L = 166

Divide both sides by 2.

L = 83

So now we know that the length is 83 feet.

I hope you find my answer and explanation to be helpful. Happy studying.

5 0
3 years ago
Read 2 more answers
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